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QUESTION BANK ON OPERATIONS RESEARCH UNIT-1: Basics of operations research

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Simplex Method Examples

Get ready for a few solved examples of simplex method in operations research . In this section, we will take linear programming (LP) maximization problems only.

Do you know how to divide, multiply, add, and subtract? Yes. Then there is a good news for you. About 50% of this technique you already know.

Simplex Method Example-1, Example-2

"Minds are like parachutes; they work best when open." -Lord Thomas Dewar

Simplex Method: Example 1

Maximize z = 3x 1 + 2x 2

-x 1 + 2x 2 ≤ 4 3x 1 + 2x 2 ≤ 14 x 1 – x 2 ≤ 3

x 1 , x 2 ≥ 0

First, convert every inequality constraints in the LPP into an equality constraint, so that the problem can be written in a standard from. This can be accomplished by adding a slack variable to each constraint. Slack variables are always added to the less than type constraints.

Converting inequalities to equalities

-x 1 + 2x 2 + x 3 = 4 3x 1 + 2x 2 + x 4 = 14 x 1 – x 2 + x 5 = 3 x 1 , x 2 , x 3 , x 4 , x 5 ≥ 0

Where x 3 , x 4 and x 5 are slack variables.

Since slack variables represent unused resources, their contribution in the objective function is zero. Including these slack variables in the objective function, we get

Maximize z = 3x 1 + 2x 2 + 0x 3 + 0x 4 + 0x 5

Initial basic feasible solution

Now we assume that nothing can be produced. Therefore, the values of the decision variables are zero. x 1 = 0, x 2 = 0, z = 0

When we are not producing anything, obviously we are left with unused capacity x 3 = 4, x 4 = 14, x 5 = 3

We note that the current solution has three variables (slack variables x 3 , x 4 and x 5 ) with non-zero solution values and two variables (decision variables x 1 and x 2 ) with zero values. Variables with non-zero values are called basic variables. Variables with zero values are called non-basic variables.

Simplex Method: Table 1

On small screens, scroll horizontally to view full calculation

a 11 = -1, a 12 = 2, a 13 = 1, a 14 = 0, a 15 = 0, b 1 = 4 a 21 = 3, a 22 = 2, a 23 = 0, a 24 = 1, a 25 = 0, b 2 = 14 a 31 = 1, a 32 = -1, a 33 = 0, a 34 = 0, a 35 = 1, b 3 = 3

Calculating values for the index row (z j – c j )

z 1 – c 1 = (0 X (-1) + 0 X 3 + 0 X 1) - 3 = -3 z 2 – c 2 = (0 X 2 + 0 X 2 + 0 X (-1)) - 2 = -2 z 3 – c 3 = (0 X 1 + 0 X 0 + 0 X 0) - 0 = 0 z 4 – c 4 = (0 X 0 + 0 X 1 + 0 X 0) - 0 = 0 z 5 – c 5 = (0 X 0 + 0 X 0 + 0 X 1) – 0 = 0

Choose the smallest negative value from z j – c j (i.e., – 3). So column under x 1 is the key column. Now find out the minimum positive value Minimum (14/3, 3/1) = 3 So row x 5 is the key row. Here, the pivot (key) element = 1 (the value at the point of intersection). Therefore, x 5 departs and x 1 enters.

We obtain the elements of the next table using the following rules:

1. If the values of z j – c j are positive, the inclusion of any basic variable will not increase the value of the objective function. Hence, the present solution maximizes the objective function. If there are more than one negative values, we choose the variable as a basic variable corresponding to which the value of z j – c j is least (most negative) as this will maximize the profit.

2. The numbers in the replacing row may be obtained by dividing the key row elements by the pivot element and the numbers in the other two rows may be calculated by using the formula:

Calculating values for table 2

a 11 = -1 – 1 X ((-1)/1) = 0 a 12 = 2 – (-1) X ((-1)/1) = 1 a 13 = 1 – 0 X ((-1)/1) = 1 a 14 = 0 – 0 X ((-1)/1) = 0 a 15 = 0 – 1 X ((-1)/1) = 1 b 1 = 4 – 3 X ((-1)/1) = 7

a 21 = 3 – 1 X (3/1) = 0 a 22 = 2 – (-1) X (3/1) = 5 a 23 = 0 – 0 X (3/1) = 0 a 24 = 1 – 0 X (3/1) = 1 a 25 = 0 – 1 X (3/1) = -3 b 2 = 14 – 3 X (3/1) = 5

a 31 = 1/1 = 1 a 32 = -1/1 = -1 a 33 = 0/1 = 0 a 34 = 0/1 = 0 a 35 = 1/1 = 1 b 3 = 3/1 = 3

Use horizontal scrollbar to view full calculation

z 1 – c 1 = (0 X 0 + 0 X 0 + 3 X 1) - 3 = 0 z 2 – c 2 = (0 X 1 + 0 X 5 + 3 X (-1)) – 2 = -5 z 3 – c 3 = (0 X 1 + 0 X 0 + 3 X 0) - 0 = 0 z 4 – c 4 = (0 X 0 + 0 X 1 + 3 X 0) - 0 = 0 z 5 – c 5 = (0 X 1 + 0 X (-3) + 3 X 1) – 0 = 3

Key column = x 2 column Minimum (7/1, 5/5) = 1 Key row = x 4 row Pivot element = 5 x 4 departs and x 2 enters.

Calculating values for table 3

a 11 = 0 – 0 X (1/5) = 0 a 12 = 1 – 5 X (1/5) = 0 a 13 = 1 – 0 X (1/5) = 1 a 14 = 0 – 1 X (1/5) = -1/5 a 15 = 1 – (-3) X (1/5) = 8/5 b 1 = 7 – 5 X (1/5) = 6

a 21 = 0/5 = 0 a 22 = 5/5 = 1 a 23 = 0/5 = 0 a 24 = 1/5 a 25 = -3/5 b 2 = 5/5 = 1

a 31 = 1 – 0 X (-1/5) = 1 a 32 = -1 – 5 X (-1/5) = 0 a 33 = 0 – 0 X (-1/5) = 0 a 34 = 0 – 1 X (-1/5) = 1/5 a 35 = 1 – (-3) X (-1/5) = 2/5 b 3 = 3 – 5 X (-1/5) = 4

Don't convert the fractions into decimals, because many fractions cancel out during the process while the conversion into decimals will cause unnecessary complications.

Simplex Method: Final Optimal Table

Since all the values of zj – c j are positive, this is the optimal solution. x 1 = 4, x 2 = 1 z = 3 X 4 + 2 X 1 = 14.

The largest profit of Rs.14 is obtained, when 1 unit of x 2 and 4 units of x 1 are produced. The above solution also indicates that 6 units are still unutilized, as shown by the slack variable x 3 in the X B column.

Real life complex applications usually involve hundreds of constraints and thousands of variables. So virtually these problems can not be solved manually. For solving such problems, you will have to rely on employing an electronic computer.

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Operations Research Simplified Back Next

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  • © 2014
  • Operations Research Problems

Statements and Solutions

  • Raúl Poler 0 ,
  • Josefa Mula 1 ,
  • Manuel Díaz-Madroñero 2

Research Centre on Production Management and Engineering, Polytechnic University of Valencia, Alcoy, Spain

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Escuela Politécnica Superior de Alcoy, Universidad Politécnica de Valencia, Alcoy, Spain

Universitat politècnica de valència, alcoy, spain.

  • Provides a valuable compendium of problems as a reference for undergraduate and graduate students, faculty, researchers and practitioners of operations research and management science
  • Identifies different operations management problems in order to improve the decision making process concerning readers
  • Addresses the following topics: Linear programming, integer programming, non-linear programming, network modeling, inventory theory, queue theory, tree decision, game theory, dynamic programming and markov processes

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Table of contents (10 chapters)

Front matter, linear programming.

  • Raúl Poler, Josefa Mula, Manuel Díaz-Madroñero
  • Integer Programming

Non-Linear Programming

Network modelling.

  • Inventory Theory

Queueing Theory

Decision theory, games theory.

  • Dynamic Programming
  • Markov Processes

Back Matter

  • Game Theory
  • Linear and Non-Linear Programming
  • Network Modeling
  • Queue Theory

From the reviews:

Josefa Mula

Manuel Díaz-Madroñero

Book Title : Operations Research Problems

Book Subtitle : Statements and Solutions

Authors : Raúl Poler, Josefa Mula, Manuel Díaz-Madroñero

DOI : https://doi.org/10.1007/978-1-4471-5577-5

Publisher : Springer London

eBook Packages : Engineering , Engineering (R0)

Copyright Information : Springer-Verlag London Ltd., part of Springer Nature 2014

Hardcover ISBN : 978-1-4471-5576-8 Published: 22 November 2013

Softcover ISBN : 978-1-4471-7190-4 Published: 23 August 2016

eBook ISBN : 978-1-4471-5577-5 Published: 08 November 2013

Edition Number : 1

Number of Pages : XV, 424

Number of Illustrations : 32 b/w illustrations, 55 illustrations in colour

Topics : Industrial and Production Engineering , Operations Research/Decision Theory , Game Theory, Economics, Social and Behav. Sciences

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InterviewPrep

20 Operations Research Analyst Interview Questions and Answers

Common Operations Research Analyst interview questions, how to answer them, and sample answers from a certified career coach.

operations research sample questions and answers

As an operations research analyst, you’re responsible for finding the best solutions to complex business problems. But before you can do that, you have to find a job.

If you’ve landed an interview for an operations research analyst position, it means your skills and experience have caught the attention of potential employers. Now all you have to do is make sure you ace the interview by being prepared for the questions they might ask. Read on for some common operations research analyst interview questions—and tips for how to answer them.

  • What experience do you have with using mathematical models to solve complex problems?
  • Describe a time when you had to analyze large amounts of data and draw meaningful conclusions from it.
  • How do you approach the process of developing an operations research model?
  • Are you familiar with optimization techniques such as linear programming, dynamic programming, or integer programming?
  • Explain your understanding of simulation modeling and how it can be used in operations research.
  • What strategies do you use to ensure that the results of your analysis are accurate and reliable?
  • Have you ever worked with artificial intelligence (AI) or machine learning algorithms?
  • How do you handle situations where there is not enough data available to make an informed decision?
  • Describe a situation in which you had to explain complex technical concepts to non-technical stakeholders.
  • What methods do you use to validate the accuracy of your models?
  • How do you stay up to date on the latest developments in operations research?
  • What challenges have you faced while working with operations research software?
  • Do you have any experience with predictive analytics or forecasting?
  • How do you determine which metrics are most important for measuring success?
  • What strategies do you use to identify potential areas of improvement within an organization?
  • How do you prioritize tasks when presented with multiple projects at once?
  • What experience do you have with creating visualizations to communicate complex information?
  • How do you handle situations where the data does not support the desired outcome?
  • Describe a time when you had to present your findings to senior management.
  • What strategies do you use to ensure that your solutions are cost effective and efficient?

1. What experience do you have with using mathematical models to solve complex problems?

Operations research is a field that uses quantitative methods to analyze and make decisions about complex processes. The methods used to analyze these processes usually involve mathematical models, so the interviewer wants to know that you have the experience necessary to do the job. Your answer should include examples of how you have used mathematical models in the past to solve complex problems.

How to Answer:

Start by explaining the mathematical models you have used in the past and how they helped you solve complex problems. Give examples of specific projects you have worked on that required the use of mathematical models, as well as any successes or accomplishments associated with them. If you have experience using a variety of software for operations research, mention those too. Finally, explain why these skills make you an ideal candidate for the job.

Example: “I have extensive experience using mathematical models to solve complex problems. I’ve used a variety of software packages, including MATLAB, SAS and SPSS, to develop quantitative models for operations research projects. For example, I recently worked on a project that required me to use linear programming to optimize the output of a manufacturing plant. The model I created was able to identify cost savings and improved efficiency in the production process. My background in operations research has equipped me with the skills needed to quickly analyze data and develop solutions to complex problems, making me an ideal candidate for this position.”

2. Describe a time when you had to analyze large amounts of data and draw meaningful conclusions from it.

Analyzing data is one of the most important parts of an operations research analyst’s job. The interviewer wants to know that you can take data from multiple sources and draw meaningful conclusions from it. They also want to know that you’re comfortable working with large sets of data, as this is likely to be a big part of the job.

To answer this question, you should focus on your experience using mathematical models to solve problems. Talk about the types of models you’ve used in the past and how they helped you reach a solution. If you don’t have much experience with mathematical models, explain what steps you would take to learn them and how you would apply them to the job. You can also mention any courses or certifications you may have taken that demonstrate your knowledge in this area.

Example: “I’ve worked with large sets of data many times in my career. For example, when I was a research analyst for XYZ Corporation, I had to analyze customer survey data and draw meaningful conclusions about our customers’ preferences. To do this, I used mathematical models to identify patterns and trends in the data that could be used to inform our marketing strategy. I also developed algorithms to automate the process of analyzing large datasets so we could quickly get insights from the data. With these tools, I was able to provide valuable insights into our customers’ needs and behaviors.”

3. How do you approach the process of developing an operations research model?

Hiring managers want to know that you understand the process of developing an operations research model. They want to see that you can create a plan for how to approach the task, identify key stakeholders and resources, and understand how the model will be used to inform decisions. By giving an example of a time you’ve successfully developed an operations research model, you’ll show that you have the skills and experience to be successful in the role.

Start by describing the steps you take to develop an operations research model. You should include identifying stakeholders, gathering data and information, analyzing the data, building a model, testing the model, and presenting your findings. Be sure to emphasize any experience you have with specific software or tools that are used in this process. Finally, provide an example of when you’ve successfully developed an operations research model in the past. Describe how you identified the problem, gathered data, built the model, and presented your results.

Example: “When I develop an operations research model, the first step is to identify key stakeholders and resources. This helps me understand who will be using the model and what information they need. Then I collect data and analyze it to create a model that can help inform decisions. Depending on the complexity of the problem, I might use software such as MATLAB or R to build the model. Once the model is created, I test it to make sure it’s accurate and reliable. Finally, I present my findings in a way that makes sense to the stakeholders. For example, last year I developed an operations research model for XYZ Corporation. I identified key stakeholders, gathered data, analyzed it, built a model, tested it, and presented my results in a clear and concise manner.”

4. Are you familiar with optimization techniques such as linear programming, dynamic programming, or integer programming?

Operations research analysts use mathematics and optimization techniques to solve complex problems. Companies want to know if you have experience with the specific optimization techniques they use in their own operations. This question is designed to gauge your knowledge and experience in the field, and to see if you can apply these skills to the problem at hand.

First, you should be prepared to explain what these techniques are and how they can be used. Then, talk about any specific experience you have with each technique. If you don’t have direct experience, discuss any related coursework or research projects you’ve completed that demonstrate your understanding of the concepts. Finally, emphasize how you would apply these techniques to the company’s operations if hired.

Example: “Yes, I’m very familiar with these optimization techniques. I have a background in operations research and mathematics, so I understand the underlying concepts behind them. In my previous role as an analyst at ABC Corporation, I utilized linear programming to optimize production schedules and resource allocations. And while working on research projects for XYZ University, I used dynamic programming to identify optimal strategies for decision-making processes. I am confident that I can apply these same techniques to your operations if given the opportunity.”

5. Explain your understanding of simulation modeling and how it can be used in operations research.

Simulation modeling is a key tool in operations research, and understanding how it is used and how it works is essential to the job. By asking this question, the interviewer is trying to gauge your knowledge and experience in the area, as well as your understanding of how simulation modeling can be used to optimize business operations.

Start by explaining what simulation modeling is and how it works. You can then explain the various applications of simulation modeling in operations research, such as forecasting demand, optimizing supply chain processes, or analyzing customer behavior. Finally, be sure to mention any relevant experience you have with using simulation models in your previous work.

Example: “Simulation modeling is a technique used to analyze the performance of complex systems. It involves creating a mathematical model of a system, running simulations on that model, and analyzing the results to gain insights into how the system works and how it can be optimized. In operations research, simulation modeling is commonly used to forecast demand, optimize supply chain processes, or analyze customer behavior. I have several years of experience using simulation models in my previous roles as an analyst and operations manager, so I’m well-versed in the process and confident that I could use this tool effectively in your operations research team.”

6. What strategies do you use to ensure that the results of your analysis are accurate and reliable?

Operations research analysts must be able to produce accurate and reliable results from their data analysis. It’s important for employers to know that you understand the importance of accuracy and reliability in your work, and that you have strategies for ensuring that your results are correct. This question is designed to assess your methods and approaches for ensuring the accuracy and reliability of your work.

To answer this question, you should discuss the strategies that you use to ensure accuracy and reliability in your work. These might include double-checking calculations, using multiple data sources, testing hypotheses, validating assumptions, or running simulations. You can also mention any specific software tools you use to help with accuracy and reliability. Additionally, you could talk about any processes you have for verifying results before presenting them to stakeholders.

Example: “I take accuracy and reliability very seriously, so I always double-check my calculations to make sure there are no mistakes. I also use multiple data sources to ensure the quality of my results. Additionally, when working on complex problems, I often test hypotheses or run simulations to validate assumptions. For example, when analyzing customer behavior, I will use regression analysis to identify trends and correlations in the data. I also have a process for verifying results before presenting them to stakeholders. To ensure accuracy, I use software tools such as R and Python to automate certain tasks and minimize errors.”

7. Have you ever worked with artificial intelligence (AI) or machine learning algorithms?

Operations research analysts often use AI or machine learning algorithms to solve complex business problems. Interviewers want to know if you have experience in working with these tools and if you understand how to apply them in a business setting. They may also want to know if you’re familiar with the ethical implications of using these technologies in the workplace.

If you have experience working with AI or machine learning algorithms, talk about the projects that you’ve worked on and how you applied these tools to solve business problems. If you don’t have any direct experience, explain what you know about the technology and why it is important in operations research. You can also discuss the ethical implications of using AI and machine learning technologies, such as privacy concerns and potential bias in data sets.

Example: “I have a lot of experience working with AI and machine learning algorithms. I’ve worked on projects that used these tools to analyze customer data in order to predict future buying trends, as well as for fraud detection. In terms of ethical considerations, I understand the importance of ensuring that data sets are unbiased and that any insights gathered from them are used responsibly. Additionally, I am aware of the implications of using these technologies when it comes to privacy concerns.”

8. How do you handle situations where there is not enough data available to make an informed decision?

An Operations Research Analyst’s job is to collect and analyze data to make better decisions for the organization. In some cases, there might not be enough data available to make a decision. In these cases, the interviewer would like to know how you handle the situation. They want to know if you are able to make an informed decision without all the data, or if you are able to find alternative sources of information to help you make an informed decision.

You should explain to the interviewer that you understand the importance of having enough data to make an informed decision. You can then discuss how you would handle a situation where there is not enough data available. For example, you could mention that you would search for alternative sources of information such as industry reports, customer surveys, or competitor analysis. You could also discuss how you would use your own experience and expertise to help make decisions without all the data.

Example: “When there is not enough data available to make an informed decision, I take a multi-faceted approach. First, I search for any alternative sources of information such as industry reports, customer surveys, or competitor analysis that may provide additional insights. Then, I use my own experience and expertise to make an educated guess. This approach allows me to make an informed decision even when there is not enough data available. I understand the importance of having enough data to make decisions, so I always strive to find the best sources of information to help inform my decisions.”

9. Describe a situation in which you had to explain complex technical concepts to non-technical stakeholders.

Operations research analysts often have to explain complex technical concepts to stakeholders who may not have a technical background. Interviewers want to know that you can break down complex ideas into simpler language that non-technical people can understand. This skill is essential for successful communication and collaboration with stakeholders, so it’s important that you’re able to demonstrate it.

Start by describing a specific situation in which you had to explain complex technical concepts to non-technical stakeholders. Talk about the context of the situation and how you prepared for it. Then, describe the steps you took to ensure that your audience understood the concept. Finally, discuss what you learned from the experience and how you would apply those lessons to future situations.

Example: “I recently had to explain a complex mathematical model to a group of non-technical stakeholders. To prepare, I took the time to understand their background and what they needed to know. I also created a visual presentation to help them understand the concept more easily. During the presentation, I broke down the model into simpler terms and used examples to illustrate how it worked. I also asked questions to ensure that they understood each step. After the presentation, I received positive feedback from the stakeholders, and I learned that it is important to take the time to understand the audience and tailor the presentation to their needs.”

10. What methods do you use to validate the accuracy of your models?

This question helps to assess the applicant’s knowledge of the field of Operations Research and their ability to apply the appropriate tools and methodologies to verify the accuracy of their models. The interviewer wants to confirm that the candidate is familiar with the best practices for validating models and can effectively use them to ensure the accuracy of their work.

This question is designed to gauge your understanding of the importance of validating models and how you go about doing it. You should be able to explain the different methods you use to validate accuracy, such as backtesting, stress testing, Monte Carlo simulations, or sensitivity analysis. Additionally, you may want to discuss any techniques you have developed yourself for validating model accuracy. Be sure to emphasize that validation is an ongoing process and not a one-time event.

Example: “To ensure the accuracy of my models, I use a variety of methods depending on the specific situation. I typically begin by backtesting the model using historical data to see how it would have performed in the past. I then use stress testing to ensure that the model can handle a variety of different scenarios. Finally, I use Monte Carlo simulations to check the accuracy of the model in a range of different conditions. Additionally, I often use sensitivity analysis to identify any variables that could have a significant impact on the accuracy of the model. I also keep track of the performance of the model on an ongoing basis to ensure that it continues to remain accurate.”

11. How do you stay up to date on the latest developments in operations research?

Operations research is a constantly evolving field, and potential employers want to make sure that you can keep up with the changes. This question allows you to demonstrate your commitment to staying on top of the latest trends and technologies in the field. It also gives you the opportunity to showcase any professional development activities you may have taken part in, such as attending conferences or reading industry publications.

Your answer should demonstrate that you are actively engaged in staying up to date on the latest developments in operations research. You can mention any professional development activities you have taken part in, such as attending conferences or reading industry publications. Additionally, it would be beneficial to discuss how you use data analysis and modeling techniques to stay abreast of emerging trends and technologies. Finally, explain how you stay connected with other professionals in the field by participating in online forums or networking events.

Example: “I stay up to date on the latest developments in operations research by attending relevant conferences and webinars, reading industry publications, and participating in online forums and networking events. I also use data analysis and modeling techniques to identify emerging trends and technologies, and I’m constantly exploring new ways to stay connected with other professionals in the field. Additionally, I’m always looking for ways to stay ahead of the curve, such as attending workshops or taking courses to learn about new strategies and techniques.”

12. What challenges have you faced while working with operations research software?

Operations research software can be difficult to use, and a successful operations research analyst must be able to work with it effectively. This question is designed to assess your knowledge and experience with the software, as well as your ability to solve problems related to it. The interviewer wants to know that you can handle the technical aspects of this job, as well as the analytical side.

Be prepared to discuss any challenges you’ve faced while using operations research software, as well as how you overcame them. If you haven’t had much experience with the software specifically, talk about similar problems that you have solved in other roles or projects. Additionally, emphasize your ability to learn new systems quickly and effectively, as this is a key skill for an operations research analyst.

Example: “I have used several different operations research software packages in my previous roles, and I am confident that I can learn any new software quickly. I have had to troubleshoot various issues related to the software, such as data compatibility issues, and I was able to resolve these issues by working closely with the software developers. I am also familiar with debugging techniques and have been successful in troubleshooting any problems that arise. Overall, I believe that I have the technical skills and experience necessary to work effectively with operations research software.”

13. Do you have any experience with predictive analytics or forecasting?

Operations research analysts use predictive analytics and forecasting to help businesses improve their operations. The interviewer wants to know if you have any experience in this area, as it’s a critical part of the job. They’ll be looking for evidence that you can effectively use these tools to generate insights and help the business make better decisions.

Make sure you’re prepared to answer this question with specific examples of how you have used predictive analytics and forecasting in the past. Talk about any projects or initiatives that you worked on where you were able to use these tools to generate insights or help the business make decisions. If you don’t have experience, focus on your ability to learn quickly and explain why you think it would be a valuable skill for you to develop.

Example: “I do have experience with predictive analytics and forecasting. During my time at XYZ Corporation, I was part of a team that used predictive analytics to forecast customer demand and optimize inventory levels. We were able to reduce inventory levels by 15 percent while still meeting customer demand. I also used predictive analytics to forecast sales and develop strategies to increase sales. I understand the importance of these tools in helping businesses make better decisions, and I’m eager to use my experience to help your organization succeed.”

14. How do you determine which metrics are most important for measuring success?

Operations research analysts need to understand how to evaluate data and identify the most important metrics for measuring success. This question is a way for employers to gauge how well you understand how to select the metrics that are most relevant to the project or business at hand. It also gives them an insight into how you prioritize tasks and think critically about data.

When answering this question, it’s important to demonstrate that you understand the importance of data and metrics. Explain how you use a combination of qualitative and quantitative methods to evaluate data and identify the most relevant metrics for measuring success. Talk about how you consider the project objectives when selecting the right metrics, as well as any external factors that might influence your decision. Finally, explain how you take into account the cost-benefit analysis of using certain metrics over others.

Example: “When determining which metrics are most important for measuring success, I start by evaluating the project objectives and the desired outcome. I then look at both qualitative and quantitative data to identify which metrics are most relevant. I also consider any external factors that might influence the selection of metrics, such as the cost-benefit analysis of using certain metrics over others. Once I have identified the most important metrics, I use statistical analysis to track progress and measure success.”

15. What strategies do you use to identify potential areas of improvement within an organization?

Operations research analysts are expected to be able to identify areas where a company can improve its processes, either by introducing new technology or by altering existing methods. By asking this question, the interviewer is testing your ability to think critically and identify potential areas of improvement. Your answer should demonstrate that you have an understanding of the company’s current operations and how you can use those insights to make meaningful changes.

Your answer should include a brief overview of the strategies you use to identify potential areas of improvement. You can talk about how you analyze data and processes to identify inefficiencies, as well as how you look for opportunities to introduce new technologies or methods that could streamline operations. Additionally, you should explain how you involve stakeholders and other decision makers in identifying areas of improvement and discuss any tools or techniques you use to measure progress.

Example: “When I’m looking for potential areas of improvement within an organization, I start by gathering data and analyzing it to identify any inefficiencies that could be addressed. I also make sure to involve stakeholders in the process so that I can get a full understanding of the current operations. From there, I look for opportunities to introduce new technologies or methods that could streamline operations. I also make use of various tools and techniques, such as process mapping and cost-benefit analysis, to measure the potential impact of any changes.”

16. How do you prioritize tasks when presented with multiple projects at once?

As an operations research analyst, you’ll be presented with multiple projects and tasks on any given day. It’s important for a potential hire to show that they have the organizational and time management skills to prioritize tasks and complete projects in a timely and efficient manner. This question can help the interviewer assess your ability to stay organized and on top of things.

When answering this question, you should focus on how you prioritize tasks in order to achieve the best results. Talk about any tools or methods you use to stay organized and focused when presented with multiple projects at once. You can also mention any time management strategies that have worked for you in the past such as breaking down large tasks into smaller, more manageable chunks. Additionally, be sure to emphasize your ability to identify which tasks are most important and need to be completed first.

Example: “I prioritize tasks by assessing the urgency, importance, and complexity of each project. I use a variety of tools to help me stay organized and on top of things, such as to-do lists, project management software, and calendar reminders. I also try to break down larger tasks into smaller, more manageable chunks to make them easier to handle. When presented with multiple projects, I always identify the most important tasks first and then work my way down the list. I’ve found that this approach helps me stay focused and productive, and enables me to complete projects in a timely manner.”

17. What experience do you have with creating visualizations to communicate complex information?

Operations research analysts use analytical and quantitative methods to solve business problems and improve efficiency. When it comes to presenting their findings to stakeholders and colleagues, they must be able to communicate their insights in an accessible way. Visualizations are an important tool in this process, and this question is designed to test an applicant’s ability to use them.

Your answer should focus on the types of visualizations you’ve created, such as bar charts, line graphs, scatter plots, and maps. You should also discuss any tools or software you have experience with, such as Tableau, Microsoft Excel, or Adobe Illustrator. Additionally, talk about how you used these visualizations to explain your findings. For example, if you used a map to illustrate the geographical distribution of customers, tell the interviewer what insights were gleaned from that visualization.

Example: “I have experience creating a variety of visualizations, including bar charts, line graphs, scatter plots, and maps. I’ve used tools such as Tableau, Microsoft Excel, and Adobe Illustrator to create these visualizations. For example, I recently used a map to illustrate the geographical distribution of customers and created bar charts to show the spending patterns of those customers. These visualizations helped me to explain my findings in a way that was easy to understand and allowed my colleagues to draw actionable insights from the data.”

18. How do you handle situations where the data does not support the desired outcome?

An operations research analyst is responsible for finding solutions to complex problems. This requires a deep understanding of data and how it can be used to inform decision-making. By asking this question, the interviewer is looking to see how you handle situations where the data does not support the desired outcome. This could mean that the solution you had proposed is not feasible, or that the problem is more complex than initially thought. In either case, the interviewer wants to know that you can handle the situation with grace and come up with an alternative solution.

Start by explaining that you understand how important data is in decision-making, and that it should always be taken into consideration. Explain that when faced with a situation where the data does not support the desired outcome, you take the time to analyze the data and look for alternative solutions or approaches. You can also mention that you are comfortable working with stakeholders to find an alternate solution that meets their needs. Finally, explain that you document your findings so that any future decisions can be informed by the data.

Example: “I understand that data is essential for making informed decisions. When I am faced with a situation where the data does not support the desired outcome, I take the time to analyze the data and look for alternative solutions or approaches. I am comfortable working with stakeholders to find an alternate solution that meets their needs. Additionally, I document my findings so that any future decisions can be informed by the data.”

19. Describe a time when you had to present your findings to senior management.

An operations research analyst has to be comfortable presenting their findings to stakeholders. This question allows the interviewer to gauge your communication and presentation skills, as well as your ability to work with people at all levels of the organization. They will want to understand how you interact with people in authority and how you can effectively explain complex topics in a way that is understandable to senior management.

Start by talking about the situation and why it was important to present your findings. Then, discuss how you prepared for the presentation—what research did you do? How did you structure your slides? Did you practice with a colleague or mentor? Make sure to mention any special considerations you took into account when preparing your presentation such as cultural differences or language barriers. Finally, talk about how well the presentation went—were there any questions that arose afterwards? What kind of feedback did you receive? This will help demonstrate your ability to effectively communicate complex topics to senior management.

Example: “I recently had the opportunity to present my findings on a project I was working on to the executive team. I prepared for the presentation by conducting thorough research and organizing the data into a comprehensive, yet concise presentation. I tailored the language to the audience and made sure to include visuals to help illustrate my points. During the presentation, I was able to answer all of the questions that arose and received positive feedback from the executives. I was very pleased with the outcome and am confident in my ability to present complex topics to senior management.”

20. What strategies do you use to ensure that your solutions are cost effective and efficient?

Operations research analysts are tasked with finding solutions that are both cost effective and efficient. They must understand the impact of their decisions on the bottom line and be able to make sure that their solutions are the most efficient and cost-effective solutions available. This question allows the interviewer to see if the candidate understands the importance of cost-effectiveness and efficiency in their work and if they have strategies to ensure that their solutions meet these criteria.

An effective answer to this question should include a few specific strategies that you use to ensure that your solutions are cost effective and efficient. Examples of strategies could include researching the market for competitive pricing, understanding the impact of each solution on the bottom line, using data-driven decision making, or considering all options before making a final recommendation. Additionally, it’s important to demonstrate how you have applied these strategies in past roles and how they have resulted in successful outcomes.

Example: “When I’m tasked with finding a cost-effective and efficient solution, I always start by researching the market to understand the competitive pricing of different options. I also take the time to understand the impact of each solution on the bottom line and use data-driven decision making to ensure I’m making the best decision. Additionally, I make sure to consider all options before making a final recommendation. I’ve used these strategies to great success in my previous roles, and I’m confident I can do the same in this one.”

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Operations Research

1. Operations Research approach is ______________.

  • multi-disciplinary
  • collect essential data

2. A feasible solution to a linear programming problem ______________.

  • must satisfy all the constraints of the problem simultaneously
  • need not satisfy all of the constraints, only some of them
  • must be a corner point of the feasible region.
  • must optimize the value of the objective function

3. If any value in XB column of final simplex table is negative, then the solution is ______________.

  • no solution

4. For any primal problem and its dual______________.

  • optimal value of objective function is same
  • dual will have an optimal solution iff primal does too
  • primal will have an optimal solution iff dual does too
  • both primal and dual cannot be infeasible

5. The difference between total float and head event slack is ______________

  • independent float
  • interference float
  • linear float

6. An optimal assignment requires that the maximum number of lines which can be drawn through squares with zero opportunity cost should be equal to the number of ______________.

  • rows or columns
  • rows and columns.
  • rows+columns- 1
  • rows-columns.

7. To proceed with the Modified Distribution method algorithm for solving an transportation problem, the number of dummy allocations need to be added are______________.

8. Select the correct statement

  • EOQ is that quantity at which price paid by the buyer is minimum
  • If annual demand doubles with all other parameters remaining constant, the Economic Order Quantity is doubled
  • Total ordering cost equals holding cost
  • Stock out cost is never permitted

9. Service mechanism in a queuing system is characterized by ______________.

  • customers behavior
  • servers behavior
  • customers in the system
  • server in the system

10. The objective of network analysis is to______________.

  • minimize total project duration
  • minimize toal project cost
  • minimize production delays, interruption and conflicts
  • maximize total project duration

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25 Operations Research Analyst Interview Questions and Answers

Learn what skills and qualities interviewers are looking for from an operations research analyst, what questions you can expect, and how you should go about answering them.

operations research sample questions and answers

Operations research analysts use mathematical models and algorithms to help organizations make better decisions. They might work on inventory management, logistics, production planning, or resource allocation.

If you want to work as an operations research analyst, you’ll need to be able to answer some tough questions in an interview. To help you get started, we’ve put together a list of some of the most common interview questions for operations research analysts, along with sample answers.

  • Are you familiar with the operations research and analytics tools used in this field?
  • What are some of the most important skills for an operations research analyst?
  • How would you go about solving a complex problem for a client?
  • What is your experience with data mining?
  • Provide an example of a time when you provided valuable insight into a company’s operations.
  • If you were given access to confidential company data, what steps would you take to ensure its integrity?
  • What would you do if you identified a problem, but your superiors were unwilling to change their current practices?
  • How well do you understand the operations of your clients’ businesses?
  • Do you have experience working with large data sets?
  • When analyzing a problem, do you prefer to start with the big picture or get right down to the details?
  • We want to improve customer satisfaction. What metrics would you use to measure this?
  • Describe your process for conducting market research.
  • What makes you stand out from other operations research analysts?
  • Which programming languages do you have experience using?
  • What do you think is the most important aspect of data visualization?
  • How often do you recommend making changes to a company’s operations?
  • There is a new technology that could improve our operations. How would you determine if it’s worth adopting?
  • What strategies do you use to ensure accuracy and precision when analyzing data?
  • How would you go about designing an experiment to test a hypothesis?
  • What methods do you use to develop creative solutions to problems?
  • Describe the most challenging operations research project that you have worked on.
  • How familiar are you with predictive analytics tools?
  • Are there any industry trends that might affect our operations in the near future?
  • Can you explain how your experience can help us improve our operational efficiency?
  • What processes do you follow to stay up-to-date on the latest developments in this field?

1. Are you familiar with the operations research and analytics tools used in this field?

This question can help interviewers determine your level of experience with the tools used in this role. If you have previous experience using these tools, share what you know about them and how they can be helpful to an organization. If you don’t have prior experience, explain that you are willing to learn new software programs if hired.

Example: “Yes, I am very familiar with the operations research and analytics tools used in this field. In my current role as an Operations Research Analyst, I have been using a variety of these tools to analyze data and make informed decisions. For example, I use linear programming models to optimize production processes, Monte Carlo simulations to evaluate risk, and decision trees to identify optimal solutions. I also have experience working with software packages such as SAS and R for statistical analysis.”

2. What are some of the most important skills for an operations research analyst?

This question can help the interviewer determine if you have the skills necessary to succeed in this role. When answering, it can be helpful to mention a few of the most important skills and explain why they are important.

Example: “As an operations research analyst, I believe the most important skills are problem solving, analytical thinking, and data analysis. Problem solving is key to being able to identify issues and develop solutions that can be implemented in a timely manner. Analytical thinking allows me to break down complex problems into smaller pieces and come up with creative solutions. Finally, data analysis is essential for understanding trends and making informed decisions based on the information gathered.

I also think it’s important to have strong communication skills so that you can effectively explain your findings and recommendations to stakeholders. It’s also helpful to have knowledge of computer programming languages such as Python or R which allow you to automate processes and create models to analyze data. Finally, having experience with software such as Excel, Tableau, and Power BI will help you visualize and present data in a meaningful way.”

3. How would you go about solving a complex problem for a client?

This question can help interviewers understand how you approach your work and the steps you take to complete it. Use examples from past projects or experiences to explain your process for solving complex problems.

Example: “When it comes to solving complex problems for clients, I approach each situation with a systematic and analytical mindset. First, I take the time to understand the client’s needs and objectives in order to identify the problem they are facing. Then, I use my expertise in operations research to develop a comprehensive analysis of the issue at hand. This includes gathering data, creating models, and exploring different solutions. Finally, I present my findings to the client and work with them to determine the best course of action. My goal is always to provide the most effective solution that meets their specific requirements.

I have extensive experience working on challenging projects and am confident that I can help your organization solve any complex issues you may encounter. With my knowledge of operations research and problem-solving skills, I believe I would be an excellent addition to your team.”

4. What is your experience with data mining?

This question can help the interviewer understand your experience with a specific skill that is important for this role. Use your answer to share what you have done in the past and how it helped you achieve success.

Example: “I have extensive experience in data mining. I have used a variety of techniques to extract meaningful insights from large datasets, such as regression analysis, cluster analysis, and decision tree modeling. I am also familiar with more advanced methods like artificial neural networks and support vector machines. I have worked on projects that involve both structured and unstructured data, and I understand the importance of cleaning and preprocessing data before applying any models. Finally, I have experience using various software packages for data mining, including R, Python, SAS, and SPSS.”

5. Provide an example of a time when you provided valuable insight into a company’s operations.

This question is an opportunity to show the interviewer that you have experience conducting operations research and how it can benefit a company. When answering this question, consider providing an example of your most recent work or one from your resume that highlights your skills as an operations research analyst.

Example: “I recently provided valuable insight into a company’s operations while working as an Operations Research Analyst. The company was struggling with their inventory management system and needed help to improve it. I used my expertise in operations research to analyze the current system, identify areas of improvement, and develop a plan for implementation.

My analysis revealed that the company had inefficient processes in place which were causing delays in order fulfillment. By introducing new technology and streamlining existing processes, I was able to reduce the time it took to fulfill orders by 25%. This resulted in improved customer satisfaction and increased revenue for the company.”

6. If you were given access to confidential company data, what steps would you take to ensure its integrity?

Operations research analysts often have access to sensitive data, so employers ask this question to make sure you understand the importance of protecting confidential information. In your answer, explain that you would take all necessary steps to ensure confidentiality and privacy. Explain that you would only use company data for work purposes and never share it with anyone outside the organization.

Example: “If I were given access to confidential company data, the first step I would take is to ensure that all of the necessary security protocols are in place. This includes making sure that only authorized personnel have access to the data and that any changes made to it are tracked and documented. Furthermore, I would also make sure that the data is backed up regularly so that if something goes wrong, there is a copy available for recovery. Finally, I would create an audit trail to track who has accessed the data and when, as well as what changes were made. All of these steps will help to protect the integrity of the data and ensure that it remains secure.”

7. What would you do if you identified a problem, but your superiors were unwilling to change their current practices?

This question can help interviewers understand how you would handle conflict in the workplace. In your answer, try to show that you are willing to take initiative and make changes yourself if necessary.

Example: “If I identified a problem and my superiors were unwilling to change their current practices, I would first take the time to understand why they are resistant to making changes. This could be due to a lack of understanding of the issue or simply because they don’t believe it is worth the effort to make any modifications.

Once I have established the reasons for resistance, I would then work to build consensus by presenting data-driven evidence that supports the need for change. By providing clear and concise information about the potential benefits of the proposed solution, I can help convince my superiors that the change is necessary.

I am also willing to work with them on finding an alternative approach that meets their needs while still addressing the underlying issue. For example, if the issue is cost related, I can suggest ways to reduce costs without sacrificing quality. Ultimately, my goal is to find a mutually beneficial solution that satisfies everyone involved.”

8. How well do you understand the operations of your clients’ businesses?

This question can help the interviewer assess your knowledge of the client’s business and how you apply that information to your operations research. Use examples from past projects where you had to learn about a new company or organization, including its goals, strategies and objectives.

Example: “I understand the operations of my clients’ businesses very well. As an Operations Research Analyst, I have a deep understanding of how organizations operate and the challenges they face in their day-to-day operations. I am able to identify areas where operations can be improved or streamlined, and develop strategies that will help them achieve their goals.

I also have experience working with different types of software and tools that are used to analyze data and provide insights into operational performance. This allows me to quickly assess the current state of operations and make recommendations for improvement. My expertise in this area has enabled me to develop effective solutions for my clients that increase efficiency and reduce costs.”

9. Do you have experience working with large data sets?

Operations research analysts often work with large data sets, so the interviewer may ask you this question to see if you have experience working with such projects. Use your answer to highlight any relevant skills or past experiences that can help show you are prepared for this role.

Example: “Yes, I have extensive experience working with large data sets. In my current role as an Operations Research Analyst, I am responsible for analyzing and interpreting complex datasets from multiple sources to identify trends and patterns that can be used to inform decision-making. My expertise lies in using advanced analytics techniques such as machine learning, predictive modeling, and optimization algorithms to uncover insights from the data.

I also have a strong background in database management and programming languages such as SQL and Python which allows me to quickly develop custom solutions to address specific business needs. Furthermore, I am comfortable working with both structured and unstructured data and have experience creating automated processes to streamline data analysis tasks. Finally, I have a deep understanding of statistical methods and their application to real-world problems.”

10. When analyzing a problem, do you prefer to start with the big picture or get right down to the details?

This question can help the interviewer understand how you approach your work and whether you prefer to focus on details or see the big picture. Your answer should show that you are able to do both, but it’s important to emphasize whichever skill is more developed in your experience.

Example: “When analyzing a problem, I prefer to start with the big picture. This allows me to gain an understanding of the overall objectives and scope of the project before diving into the details. By starting with the big picture, I can identify any potential issues or areas for improvement that may not be immediately obvious when looking at individual components. Once I have identified these areas, I can then move on to the detailed analysis and develop solutions that are tailored to the specific needs of the project.

I believe this approach is beneficial because it ensures that all aspects of the problem are considered from the outset. It also helps to ensure that the final solution is comprehensive and effective in addressing the issue. As an Operations Research Analyst, I understand the importance of taking a holistic view of the problem and developing solutions that consider all relevant factors.”

11. We want to improve customer satisfaction. What metrics would you use to measure this?

Operations research analysts use data to make decisions that improve business processes. This question helps the interviewer evaluate your ability to analyze and interpret information to help a company achieve its goals. In your answer, explain how you would measure customer satisfaction and what factors contribute to it.

Example: “I believe that customer satisfaction is best measured by looking at a combination of metrics. First, I would look at the number of complaints and returns from customers to get an idea of how satisfied they are with their purchase. Second, I would measure customer loyalty through surveys or questionnaires asking them about their experience with the company. Finally, I would track customer retention rates over time to see if customers are returning for repeat purchases.”

12. Describe your process for conducting market research.

Operations research analysts often conduct market research to help their organizations understand customer preferences and needs. Interviewers may ask this question to learn about your process for conducting market research, how you apply it to your work and the tools you use to complete these tasks. In your answer, describe a time when you conducted market research and what steps you took to complete the task.

Example: “My process for conducting market research begins with gathering data. I use a variety of sources to collect information, such as surveys, interviews, focus groups, and secondary research. Once the data is collected, I analyze it using operations research techniques like linear programming, decision analysis, and simulation. This helps me identify trends in the market and develop insights into consumer behavior. Finally, I present my findings in an organized manner that can be easily understood by stakeholders.

I have extensive experience working with operations research tools and techniques, which allows me to quickly and accurately interpret data. My ability to draw meaningful conclusions from complex datasets makes me an ideal candidate for this position.”

13. What makes you stand out from other operations research analysts?

Employers ask this question to learn more about your unique skills and abilities. They want to know what makes you a valuable asset to their company. When answering this question, think of two or three things that make you stand out from other operations research analysts. These can be specific skills or experiences that are relevant to the job.

Example: “I believe my experience and expertise make me stand out from other operations research analysts. I have a Master’s degree in Operations Research and over five years of professional experience in the field. During this time, I have worked on a variety of projects involving data analysis, optimization, forecasting, simulation, and decision-making. My work has been published in several peer-reviewed journals and I am also an active member of the Institute for Operations Research and the Management Sciences (INFORMS).

In addition to my academic and professional qualifications, I bring a unique perspective to the role of operations research analyst. I am highly analytical and detail-oriented, but also possess strong interpersonal skills that allow me to effectively collaborate with colleagues and stakeholders. I’m passionate about finding creative solutions to complex problems and take pride in delivering high-quality results. Finally, I’m always looking for ways to stay up-to-date on new technologies and best practices in the field.”

14. Which programming languages do you have experience using?

This question can help the interviewer determine your level of expertise with programming languages. If you have experience using a specific language, share that information and explain how it helped you complete projects more efficiently.

Example: “I have extensive experience using a variety of programming languages for operations research analysis. I am proficient in Python, which is the language I use most often. I also have experience with MATLAB and R, two popular statistical computing packages used in operations research. In addition to these three languages, I have some familiarity with C++ and Java.

I understand that each language has its own strengths and weaknesses, so I strive to choose the language best suited for the task at hand. For example, when working on complex optimization problems, I prefer to use Python due to its flexibility and wide range of available libraries. On the other hand, if I need to quickly analyze large datasets, I will turn to MATLAB or R as they are designed specifically for this purpose.”

15. What do you think is the most important aspect of data visualization?

Operations research analysts use data visualization to present their findings and recommendations. The interviewer may ask this question to learn more about your skills in this area. Use your answer to highlight your ability to create effective visualizations that are easy for others to understand.

Example: “I believe the most important aspect of data visualization is to be able to effectively communicate complex information in a clear and concise way. Data visualizations should be used to help people understand the underlying trends, patterns, and relationships within the data. It should also be used to identify potential areas for further exploration or investigation.

When creating data visualizations, it is important to consider the audience and their level of understanding. The visuals should be designed to be easily understood by the target audience. This could include using colors, shapes, sizes, labels, and other elements to convey meaning. Furthermore, the visual should be tailored to the specific context of the data so that it can be interpreted correctly.”

16. How often do you recommend making changes to a company’s operations?

This question can help interviewers understand your decision-making process and how you apply it to the company’s operations. Use examples from past experiences where you made recommendations for changes in a company’s operations, including what led you to make those decisions.

Example: “When it comes to making changes to a company’s operations, I believe that the most important factor is to ensure that any changes are well thought out and carefully considered. As an Operations Research Analyst, my job is to analyze data and provide recommendations for improvement. Depending on the situation, I may recommend making changes more or less frequently.

For example, if there is a need to increase efficiency in a certain area of the business, then I would suggest implementing changes as soon as possible. On the other hand, if the goal is to reduce costs, then I might recommend taking a longer-term approach and waiting until the data shows that the proposed change will have a positive impact on the bottom line. Ultimately, my role is to provide objective analysis and advice so that the company can make informed decisions about their operations.”

17. There is a new technology that could improve our operations. How would you determine if it’s worth adopting?

This question is an opportunity to show your critical thinking skills and how you apply them to operations research. Your answer should include a step-by-step process for evaluating new technologies that could improve the company’s operations.

Example: “When considering the adoption of a new technology, it is important to evaluate both the potential benefits and risks associated with its implementation. As an Operations Research Analyst, I would use a combination of quantitative and qualitative analysis to determine if the proposed technology is worth adopting.

Quantitatively, I would analyze data from similar organizations that have already adopted the technology to identify any cost savings or efficiency gains they experienced. This could include metrics such as labor costs, production time, customer satisfaction, and more. I would also compare the expected cost of implementing the technology to the projected returns on investment.

Qualitatively, I would assess the impact the technology may have on our operations by speaking with stakeholders, conducting surveys, and researching industry trends. This would provide me with valuable insights into how the technology might affect our processes, personnel, and customers.”

18. What strategies do you use to ensure accuracy and precision when analyzing data?

Operations research analysts must be able to analyze data accurately and precisely. Employers ask this question to make sure you have the skills necessary for the job. In your answer, explain that you use several strategies to ensure accuracy and precision when analyzing data. Explain that these are some of the most important aspects of being an operations research analyst.

Example: “When analyzing data, accuracy and precision are two of the most important factors. To ensure that I am providing accurate and precise results, I use a variety of strategies.

The first strategy is to thoroughly review the data before beginning my analysis. This includes looking for any outliers or inconsistencies in the data set. If there are any issues with the data, I will work with the team to address them before starting my analysis.

Next, I use statistical methods such as regression analysis and hypothesis testing to identify patterns and trends in the data. These techniques allow me to draw meaningful conclusions from the data while also ensuring that the results are statistically significant.

Lastly, I always double-check my results by running multiple simulations and comparing the outcomes. This helps me to confirm that the results are consistent and reliable.”

19. How would you go about designing an experiment to test a hypothesis?

This question can help the interviewer understand your analytical skills and how you apply them to a work environment. Use examples from previous projects or describe what steps you would take if you had to design an experiment for the first time.

Example: “When designing an experiment to test a hypothesis, I believe it is important to first understand the problem and the desired outcome. This involves researching the current state of the issue and gathering data from relevant sources. Once this research has been conducted, I would then formulate a hypothesis that can be tested through experimentation.

The next step in my process would be to create an experimental design that will allow me to collect data to test the hypothesis. This includes determining the type of experiment (e.g., controlled or randomized), selecting appropriate sample sizes, and deciding on the variables to measure. I would also consider any potential confounding factors that could influence the results.

Once the experiment is designed, I would then implement the experiment and collect the necessary data. After collecting the data, I would analyze the results using statistical methods such as regression analysis or ANOVA. Finally, I would interpret the results and draw conclusions based on the findings.”

20. What methods do you use to develop creative solutions to problems?

This question can help the interviewer understand your problem-solving skills and how you apply them to operations research. Your answer should show that you have a creative mind, but also that you know when it’s best to use creativity versus more traditional methods of solving problems.

Example: “When it comes to developing creative solutions to problems, I use a variety of methods. First and foremost, I like to take the time to fully understand the problem at hand. This includes researching any related topics, gathering data, and analyzing the current situation. Once I have a clear understanding of the issue, I then begin brainstorming potential solutions. During this process, I often draw on my experience in operations research analysis to come up with innovative ideas that may not be immediately obvious.

I also like to involve other stakeholders when possible. By bringing together different perspectives, we can generate more creative solutions than if I were working alone. Finally, I always make sure to evaluate the pros and cons of each solution before making a decision. This helps me ensure that I’m selecting the best option for the given situation.”

21. Describe the most challenging operations research project that you have worked on.

This question can help interviewers understand your problem-solving skills and how you handle challenges. When answering this question, it can be helpful to describe a project that was particularly challenging but also one in which you were able to overcome the challenge and achieve success.

Example: “The most challenging operations research project I have worked on was for a large retail chain. The goal of the project was to optimize their inventory management system in order to reduce costs and increase profits.

I started by gathering data from multiple sources, including sales reports, customer surveys, and market trends. After analyzing the data, I identified areas where improvements could be made. I then developed an optimization model that incorporated these changes, which allowed me to identify the optimal solution. Finally, I implemented the new system and monitored its performance over time.”

22. How familiar are you with predictive analytics tools?

Operations research analysts use a variety of tools to complete their projects. The interviewer may ask this question to determine your experience with specific software and how you would apply it in the role. Use your answer to highlight any previous experience using predictive analytics tools and discuss what you learned from those experiences.

Example: “I am very familiar with predictive analytics tools. I have worked extensively with various software programs and applications such as SAS, R, Python, SPSS, and Tableau to create models that can predict future outcomes based on past data. My experience also includes using machine learning algorithms to develop models for forecasting customer demand, predicting customer churn, and optimizing inventory levels.

In addition to my technical knowledge of predictive analytics tools, I also understand the importance of understanding the business context when developing models. I have a strong background in operations research and statistical analysis which allows me to identify key drivers and trends in the data and use them to inform decision making. I am confident that I can bring this expertise to your organization and help you make informed decisions about your operations.”

23. Are there any industry trends that might affect our operations in the near future?

This question is a great way to test your knowledge of the industry and how you can apply it to an organization. Your answer should show that you are aware of current trends in operations research and how they might affect your future employer’s business.

Example: “Yes, there are several industry trends that could affect our operations in the near future. One of the most significant is the increasing use of automation and artificial intelligence (AI). Automation has the potential to streamline processes, reduce costs, and improve efficiency. AI can help with decision-making by providing insights from data analysis and predictive modeling.

Another trend is the shift towards digitalization. This includes the adoption of cloud computing, mobile technologies, and other digital solutions. These technologies have the potential to increase customer engagement and provide more personalized services. They also enable companies to access new markets and create new revenue streams.

Lastly, I believe sustainability will become increasingly important for businesses. Companies need to be aware of their environmental impact and develop strategies to reduce it. This could include investing in renewable energy sources, reducing waste, and improving resource management.”

24. Can you explain how your experience can help us improve our operational efficiency?

This question can help the interviewer determine how your experience in operations research analysis can benefit their company. Use examples from your previous work to explain how you helped improve operational efficiency and what results you achieved.

Example: “Absolutely. As an experienced Operations Research Analyst, I have a deep understanding of how to analyze data and identify areas for improvement in operational efficiency. My experience has allowed me to develop strategies that help organizations optimize their processes and maximize their resources. For example, I recently worked with a large manufacturing company to reduce their production costs by 10%. This was achieved through the use of predictive analytics and optimization models that identified potential cost savings opportunities.

In addition, I am well-versed in using advanced analytics tools such as R and Python to create sophisticated models that can be used to gain insights into operations performance. With these tools, I can quickly identify trends and patterns in data that can be used to improve operational efficiency. Finally, my strong communication skills allow me to effectively communicate complex ideas to stakeholders so they understand the value of the proposed solutions.”

25. What processes do you follow to stay up-to-date on the latest developments in this field?

This question can help the interviewer understand how you stay current with industry trends and developments. Showcase your ability to learn new things by explaining what resources you use to keep up with operations research analyst news, publications or other information sources.

Example: “As an Operations Research Analyst, staying up to date on the latest developments in this field is essential. To ensure I am always informed of new trends and technologies, I have a few processes that I follow.

The first process I use is attending conferences and seminars related to my field. This allows me to stay abreast of the most current research and best practices. It also provides me with opportunities to network with other professionals in the industry.

I also read relevant publications such as journals, magazines, and books. This helps me gain insight into what’s happening in the world of operations research and keeps me informed about the latest advancements.

In addition, I actively participate in online forums and discussion groups related to operations research. This gives me access to valuable information from experts in the field and enables me to ask questions and get answers quickly.”

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10 Operations Research Analyst Interview Questions and Answers for data scientists

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1. Can you explain your experience with modeling and optimization techniques?

Experience with modeling and optimization techniques.

During my previous role as an Operations Research Analyst at XYZ Corporation, I had the opportunity to work on multiple projects that involved modeling and optimization techniques.

One of the projects involved developing a scheduling model to optimize the allocation of resources to different projects. The goal was to minimize the total project completion time while ensuring that all projects were completed within their respective deadlines. I used linear programming to create a model that considered resource constraints, project timelines, and project dependencies. After running the model with real data, we were able to reduce the total project completion time by 25% and meet all project deadlines.

Another project I worked on involved optimizing the layout of a facility to minimize the time it took to move products from one point to another. I created a simulation model using discrete event simulation to evaluate different layout options. We were able to reduce the time it took to move products by 30% by implementing the optimal layout.

  • Demonstrated experience building scheduling models using linear programming
  • Expertise in developing simulation models using discrete event simulation
  • Achieved a 25% reduction in project completion time and met all project deadlines through scheduling model
  • Reduced the time it takes to move products by 30% through facility layout optimization

Overall, my experience with modeling and optimization techniques has allowed me to find creative solutions that improve efficiency and reduce costs while meeting business objectives.

2. How do you ensure your models are accurate and reliable?

One way that I ensure my models are accurate and reliable is by validating them with real data. For example, in my previous position as an Operations Research Analyst at XYZ Company, I created a forecasting model to predict inventory levels for a particular product.

  • I started by collecting and analyzing historical data on the product's sales, promotions, seasonality, and other relevant factors.
  • Next, I created the model based on this data and tested it against actual inventory levels.
  • If the model's predictions were not accurate, I went back to the drawing board and adjusted the parameters until the model's predictions aligned with actual inventory levels.
  • I also made sure to monitor the model regularly and updated it as new data became available to ensure its continued accuracy and reliability.

As a result of using this process, the forecasting model I created helped reduce inventory carrying costs by 10% and improved inventory turnover by 15%. These concrete results demonstrate the effectiveness of my approach to ensuring the accuracy and reliability of models.

3. What programming languages and software tools are you proficient in?

As a seasoned Operations Research Analyst, I have gained proficiency in various programming languages and software tools essential for the job. Let me walk you through them:

Python: This language proves to be the bread and butter of data analytics and machine learning operations. As an OR Analyst, Python has helped me streamline my data wrangling and visualization processes, leading to higher efficiency and productivity. I have used Python to develop optimization models and simulation algorithms to solve complex business problems. For instance, during my previous project, I used Python to develop a model that optimized the distribution of products in a retail store, which resulted in a 20% increase in sales revenue.

R: It is another powerful programming language used in data science for statistical analysis and graphical representation. I have used R to perform regression analysis, prediction modeling, and cluster analysis, among others. For example, I have used R to analyze customer feedback data and identify key drivers of customer satisfaction. Consequently, the insights from this analysis helped the company improve its products and services, leading to a 15% increase in customer retention.

Excel/VBA: As an OR Analyst, Excel is my go-to tool for data analysis and visualization. I have developed Excel models with VBA macros that automate manual tasks, increase accuracy, and speed up analysis. For instance, I developed an Excel-based model that optimized the production schedule of a manufacturing company, resulting in a 30% decrease in overtime costs.

Cplex: It is a commercial optimization software package that I have used to develop mathematical models that solve complex optimization problems. I have used Cplex to optimize supply chain logistics, workforce scheduling, and production planning, among others. For example, I developed a Cplex model that optimized the logistics route of a transportation company, which resulted in a 25% decrease in fuel costs.

Overall, my proficiency in these programming languages and software tools has enabled me to deliver valuable insights and solutions to businesses, leading to improved efficiency, productivity, and profitability.

4. Can you walk me through an example of how you have improved a company’s efficiency or profitability using Operations Research?

During my time as an Operations Research Analyst at XYZ Company, I was tasked with improving the efficiency and profitability of our shipping processes. After conducting a thorough analysis of our current processes, I noticed that we were wasting a significant amount of time and resources on unnecessary packaging materials.

  • To address this issue, I first collected data on our current usage of packaging materials and compared this to industry standards. Through this analysis, I found that we were using nearly double the industry standard for packaging per shipment.
  • I then conducted a cost-benefit analysis and found that reducing our packaging materials by even 20% could save the company over $100,000 annually.
  • To implement this change, I worked with our shipping department to develop new guidelines for packaging sizes and materials. I also trained our employees on the new guidelines and implemented a monitoring system to ensure compliance.
  • After three months of implementing these changes, I analyzed our shipping data and found that our costs had decreased by 15% and our overall efficiency had increased by 20%. In addition, customer satisfaction had improved due to the reduction in packaging waste.

Overall, my work as an Operations Research Analyst at XYZ Company resulted in significant cost savings and increased efficiency for the company while also contributing to our sustainability efforts.

5. How do you communicate complex technical concepts to non-technical stakeholders?

As an Operations Research Analyst, I understand that it can be challenging to explain complex technical concepts to non-technical stakeholders. However, communication is essential to ensure that all stakeholders understand the project outcome and the benefits it can provide.

My strategy to communicate technical concepts to non-technical stakeholders is to use simple language and analogies that relate to their experiences. For example, when explaining optimization methods, I would compare it to a GPS system that helps you find the fastest route to your destination. This analogy makes it easy for stakeholders to understand the process.

I also use visual aids, such as charts or graphs, to support my explanations. This technique helps to convey complex data in an easy-to-understand format, allowing the stakeholders to see the results and benefits of the project outcome. For instance, in my previous role, I prepared a graph of the reduction in operational costs that we achieved using our optimization model. This graph helped the stakeholders understand the monetary benefits of our project.

Moreover, I allow stakeholders to ask questions and provide them with real-life examples of how the project outcome will benefit them. In my previous job, I shared data with marketing and sales teams to illustrate how our optimization model could help them identify the future demands and adjust their sales and marketing plans.

  • Using simple language and analogies that relate to their experiences
  • Using visual aids, such as charts or graphs, to support my explanations
  • Allowing stakeholders to ask questions and providing them with real-life examples of how the project will benefit them

Through these approaches, I have successfully communicated complex technical concepts to non-technical stakeholders in my previous roles. For instance, in my last project, I reduced operational costs by 15%, which was a significant benefit for the organization. The stakeholders were appreciative of my efforts to communicate the technical aspects of the project to them.

6. What have you found to be the most challenging aspects of working as a data scientist in Operations Research?

As a data scientist in Operations Research, I have found the most challenging aspect to be dealing with large and complex datasets. In my previous role at XYZ Corporation, I was tasked with analyzing customer churn data to identify trends and provide recommendations to the marketing team. The dataset contained over 10 million records, and I had to clean and preprocess the data before analyzing it.

  • To tackle this challenge, I first used SQL to filter and aggregate the data. I used a combination of Python and R to perform data cleaning and preprocessing tasks such as handling missing values, outliers, and encoding categorical variables.
  • Secondly, I used data visualization tools such as Tableau to gain insights into the data and identify patterns. This helped me to narrow down the variables that were most important in predicting customer churn.
  • Lastly, I used machine learning algorithms such as Logistic Regression, Random Forest, and XGBoost to build predictive models. I used cross-validation techniques to tune the models and ensure their accuracy.

After several iterations of preprocessing and modeling, I was able to achieve an accuracy rate of 85%. This allowed me to provide recommendations to the marketing team, which led to a 10% reduction in customer churn and an increase in revenue by $500,000 per year.

7. How do you stay up to date with the latest operations research techniques and technologies?

As an operations research analyst, it is important for me to stay up to date with the latest techniques and technologies to ensure our team is offering the most efficient solutions to our clients. To do so, I regularly attend industry conferences such as the Institute for Operations Research and the Management Sciences (INFORMS) annual meeting. I also subscribe to various journals to stay informed of the latest research and advancements in the field, such as the Journal of Operations Management and the European Journal of Operational Research.

  • Attending Industry Conferences: During the past two years, I attended two major industry conferences on operations research, including the INFORMS annual meeting. These conferences provided me with the opportunity to network with top experts who are paving the path for the future of the field. As a direct result of attending the conferences, I was able to bring back several new ideas and techniques to implement within my team.
  • Subscribing to Industry Leading Journals: I subscribe to four prominent journals in the field, each of which is renowned for the latest and most groundbreaking research in operations research. For example, last year, I read an article titled “Optimizing Resource Allocation in Multi-Organization Environments” in the Journal of Operations Management. This article provided our company with a unique approach to multi-organization resource allocation, which we were able to implement seamlessly into one of our projects.
  • Participating in Technical Workshops: I also participate in workshops that provide technical training on the latest tools and technologies. Recently, I participated in a workshop focused on state-of-the-art Monte Carlo simulation methods, which allowed me to explore advanced techniques and apply them to real-world problems.

By combining these methods, I have been able to stay up to date with the latest trends and techniques in the field of operations research, ultimately providing the most advanced and effective solutions to my team and clients alike.

8. Can you describe your experience working with large datasets?

During my time as an Operations Research Analyst with XYZ company, I worked extensively with large datasets. One project that stands out was a data analysis of customer spending patterns.

  • To start, I gathered data on purchases made by customers for a period of six months, which resulted in a dataset of over 50 million transactions.
  • I then cleaned and organized the data to eliminate any duplicates or irrelevant information.
  • Next, I used statistical tools such as regression analysis and clustering to identify common spending patterns among customers.
  • Based on the results, I recommended targeted marketing strategies tailored to each customer segment, resulting in a 13% overall increase in revenue.
  • I also implemented a solution using Python to automate the entire process from data collection to analysis, which reduced the time required by 75%.

Overall, my experience working with large datasets has allowed me to develop strong data management and analysis skills, which would be valuable in this role as an Operations Research Analyst.

9. How do you prioritize and manage your workload when working on multiple projects?

When faced with multiple projects, I prioritize my workload based on a few key factors. First, I assess the level of urgency for each project and prioritize those with strict deadlines or time-sensitive tasks. Second, I consider the overall impact each project will have on the company or client and prioritize those with the highest potential for positive results. Lastly, I examine the complexity and scope of each project and prioritize tasks that require more time and attention.

  • To help track my progress and ensure I am meeting deadlines, I utilize a project management tool such as Trello or Asana. These tools allow me to break down each project into smaller tasks and assign deadlines for each task.
  • If I find myself struggling to manage multiple projects at once, I am not afraid to delegate tasks to other team members to help lighten my workload. By doing this, I have successfully completed projects on time without sacrificing quality.
  • Recently, I was working on three projects simultaneously. I utilized my prioritization techniques and project management tool to stay organized and on track. As a result, all three projects were completed ahead of schedule, and the client was extremely satisfied with the results.

In summary, by prioritizing tasks based on urgency, impact, and complexity, utilizing project management tools, and delegating when necessary, I have successfully managed multiple projects and delivered successful outcomes.

10. Can you give an example of a difficult problem you encountered and how you approached solving it?

During my time as an Operations Research Analyst at XYZ Company, we were tasked with finding a solution to reduce transportation costs for our products while maintaining customer satisfaction. This was a difficult problem because we had to take into account various factors such as shipment volume, delivery time, and customer location.

  • To approach the problem, I first analyzed the data related to our transportation costs and identified the areas where we were spending the most money.
  • I then researched various transportation models and identified one that seemed to be the most feasible for our company.
  • Next, I worked with a team to develop a transportation plan using the selected model.
  • We tested the plan using a simulation software and found that it resulted in a significant reduction in our transportation costs.

After implementing the transportation plan, we monitored the results and found that our transportation costs had decreased by 30%. Moreover, customer satisfaction remained the same as before because we had optimized the plan to maintain timely deliveries and convenient drop-off locations for customers.

Overall, this problem required a lot of analysis, research, and collaboration with a team, but it was a great learning experience for me as an Operations Research Analyst. I believe that this approach can also be used in solving other complex problems that arise in the field of operations research.

Congratulations for making it through the 10 Operations Research Analyst interview questions and answers in 2023! With these questions and answers, you are one step closer to landing your dream job. However, do not stop here. Your next steps should be to write an impressive cover letter and prepare an outstanding CV. If you need help with your cover letter, check out our guide on writing a compelling cover letter . Additionally, we have an excellent guide on writing a resume for data scientists to help you prepare a standout CV. Finally, if you're searching for new remote data scientist jobs, look no further than our Remote Rocketship job board. We have a collection of all types of remote data scientist jobs to match your skills and experience. Start your search on our website at https://www.remoterocketship.com/jobs/data-scientist today!

19 Operations Research Analyst Interview Questions (With Example Answers)

It's important to prepare for an interview in order to improve your chances of getting the job. Researching questions beforehand can help you give better answers during the interview. Most interviews will include questions about your personality, qualifications, experience and how well you would fit the job. In this article, we review examples of various operations research analyst interview questions and sample answers to some of the most common questions.

Operations Research Analyst Resume Example

Common Operations Research Analyst Interview Questions

What motivated you to pursue a career in operations research, what is your favorite operations research problem, what is the most challenging operations research problem you have solved, what is your favorite operations research software tool, what motivated you to become an operations research analyst, what is your favorite thing about being an operations research analyst, what is the most challenging thing about being an operations research analyst, what motivated you to become a certified operations research analyst, what is your favorite thing about being a certified operations research analyst, what is the most challenging thing about being a certified operations research analyst, what motivated you to pursue a doctoral degree in operations research, what is your favorite thing about being a doctoral student in operations research, what is the most challenging thing about being a doctoral student in operations research, what motivated you to become a professor of operations research, what is your favorite thing about being a professor of operations research, what is the most challenging thing about being a professor of operations research, what motivated you to start your own operations research consulting firm, what is your favorite thing about being an operations research consultant, what is the most challenging thing about being an operations research consultant.

There are a few reasons why an interviewer might ask this question. First, they want to know if you are truly interested in the field of operations research and if you have a passion for it. Secondly, they want to see if you have the drive and motivation to succeed in this field. Finally, they want to understand what it is that drew you to operations research specifically and what you believe you can contribute to the field.

It is important for the interviewer to understand your motivations for pursuing a career in operations research because it will help them gauge your level of commitment to the field and your ability to contribute to its advancement. Additionally, this question can give the interviewer some insight into your thought process and how you approach problem-solving, which are both important skills for an operations research analyst.

Example: “ Operations research is a field of study that uses mathematical methods to help organizations make better decisions. I was motivated to pursue a career in operations research because I wanted to help organizations improve their decision-making processes. I also wanted to use my skills in mathematics to help solve real-world problems. ”

Operations research analysts use mathematical and analytical methods to help organizations solve problems related to the efficient use of resources. Many operations research analysts work in the field of management science, which is concerned with the application of these methods to problems in business, industry, government, and other organizations.

The interviewer is asking this question to get a better understanding of the applicant's analytical and problem-solving skills. This question also allows the applicant to demonstrate their knowledge of operations research and its applications. It is important for operations research analysts to be able to identify and solve problems efficiently in order to help their organizations improve their overall performance.

Example: “ My favorite operations research problem is the knapsack problem. Given a set of items, each with a weight and a value, the goal is to find the subset of items that maximizes the value while staying under a given weight limit. This problem can be applied to many real-world scenarios, such as packing for a trip or choosing which items to include in a limited-space shipment. I find it fascinating to try to find the most efficient way to solve this problem, and I enjoy seeing the results of my work put into practice. ”

The interviewer is trying to gauge the level of difficulty of problems that the operations research analyst is able to solve. This is important because it can give the interviewer a sense of how difficult the analyst can handle and whether they will be able to tackle the company's specific problems. Additionally, this question can also help the interviewer understand the analyst's thought process and problem-solving abilities.

Example: “ The most challenging operations research problem I have solved is the Traveling Salesman Problem (TSP). Given a set of cities, the objective is to find the shortest possible route that visits each city exactly once and returns to the starting city. This problem is NP-hard, meaning that there is no known algorithm that can solve it in polynomial time. I used a combination of heuristic and metaheuristic methods to find good solutions for small instances of the problem, and approximation algorithms for larger instances. ”

Operations research analysts use software tools to help them solve complex problems. The interviewer wants to know which tool the analyst prefers so that they can gauge the analyst's level of experience and expertise.

Example: “ My favorite operations research software tool is the Excel Solver. I find it to be a very powerful and versatile tool that can be used for a wide variety of optimization problems. Additionally, it is relatively easy to use and can be integrated into other Excel models relatively easily. ”

There are a few reasons why an interviewer might ask this question. First, they may be trying to gauge your interest in the field and whether you have a genuine passion for it. Secondly, they may be trying to assess your analytical and problem-solving skills. Finally, they may be trying to determine if you would be a good fit for their company specifically. Ultimately, it is important for the interviewer to get a better sense of who you are as a person and what motivates you in order to determine if you would be a good fit for the position.

Example: “ I have always been interested in mathematics and problem-solving, so operations research was a natural fit for me. I enjoy working with data and using analytical methods to solve complex problems. Operations research analysts play a vital role in businesses and organizations, helping them to make better decisions and improve efficiency. I find this work to be both challenging and rewarding. ”

There are a few reasons why an interviewer might ask this question. First, they may be trying to gauge your level of enthusiasm for the job. If you enjoy the work, it will show in your answer. Second, they may be trying to gauge your level of experience. If you have a lot of experience, you will likely be able to speak in detail about the things you enjoy about the job. Finally, they may be trying to gauge your level of expertise. If you are an expert in the field, you will likely be able to speak in detail about the things you enjoy about the job.

Example: “ There are many things that I enjoy about being an operations research analyst. I like the challenge of finding the best way to solve a problem and then implementing that solution. I also enjoy working with data and using my analytical skills to interpret it and find trends. Additionally, I enjoy working on a team and collaborating with others to find the best solution possible. ”

There are a few reasons why an interviewer might ask this question. First, they may be trying to gauge how well you understand the challenges of the job. Second, they may be trying to see if you are able to identify and solve problems. Finally, they may be trying to determine if you are able to work independently and handle multiple tasks simultaneously.

Example: “ There are a few challenges that come to mind when thinking about being an operations research analyst. Firstly, OR analysts need to have strong analytical and mathematical skills in order to be successful in their role. They must be able to understand and work with complex data sets, and be able to develop models and solve problems using various methods. Secondly, OR analysts need to be able to communicate effectively with other members of the team, as well as stakeholders from other departments within the organization. They need to be able to explain their findings and recommendations in a clear and concise manner, and be able to adapt their communication style depending on the audience. Finally, OR analysts need to be able to work independently and manage their own time effectively, as they will often be working on projects with tight deadlines. ”

There are many reasons why an interviewer would ask this question to an operations research analyst. It could be to gauge the analyst's level of commitment to the field, to understand what drives the analyst's work, or to get a sense of the analyst's motivations for pursuing certification.

Operations research analysts play a vital role in many organizations by using analytical methods to help solve complex problems. Because of the nature of their work, it is important for operations research analysts to be highly motivated and committed to their field. By understanding an analyst's motivations, an interviewer can get a better sense of the analyst's dedication to the profession and whether they are likely to be a good fit for the organization.

Example: “ I have always been interested in mathematics and problem-solving, so operations research seemed like a natural fit for me. I also wanted to become certified in order to show potential employers that I am knowledgeable and capable in this field. ”

There are many reasons why an interviewer might ask this question, but one of the most likely reasons is to gauge the Operations Research Analyst's level of enthusiasm for the job. This is important because it can be a difficult and challenging position, and the interviewer wants to make sure that the Operations Research Analyst is up for the task. Additionally, this question can also help the interviewer to get a better sense of the Operations Research Analyst's skills and abilities.

Example: “ There are many things that I enjoy about being a certified operations research analyst. One of the things that I enjoy the most is the challenge of solving complex problems. I find it very satisfying to be able to take a problem that may seem impossible to solve and find a solution that works. I also enjoy the camaraderie that comes with being part of a team of analysts working together to find solutions to difficult problems. ”

An interviewer may ask "What is the most challenging thing about being a certified operations research analyst?" to an Operations Research Analyst in order to gauge the level of difficulty they may face in performing their duties. It is important to know the level of difficulty of the position in order to be able to properly prepare for it.

Example: “ There are a few challenges that come with being a certified operations research analyst. Firstly, it can be difficult to keep up with the latest changes and developments in the field. Secondly, as an analyst, you are often required to provide accurate and reliable data and analysis, which can be challenging if you are working with limited resources. Finally, you need to be able to effectively communicate your findings and recommendations to clients or senior management, which can be difficult if you do not have strong communication skills. ”

There are a few reasons why an interviewer might ask this question. Firstly, they may be interested in knowing what drove the Operations Research Analyst to choose their field of study. Secondly, the interviewer may be curious to know what motivated the Operations Research Analyst to continue their studies and pursue a doctoral degree. Finally, the interviewer may be interested in understanding the Operations Research Analyst's motivations for pursuing a career in operations research.

It is important for the interviewer to understand the Operations Research Analyst's motivations for pursuing a career in operations research as it can help to assess whether the Operations Research Analyst is a good fit for the position. Additionally, understanding the motivations behind the Operations Research Analyst's choice of field can help the interviewer to understand the Operations Research Analyst's passion for the subject and their commitment to their chosen career path.

Example: “ I was motivated to pursue a doctoral degree in operations research because I wanted to develop a deeper understanding of the mathematical and statistical methods used to optimize complex systems. I also wanted to learn how to apply these methods to real-world problems in order to improve decision-making in organizations. ”

Operations research analysts use analytical methods to help organizations solve problems and make better decisions. The interviewer is asking the question to find out what the student enjoys about the field of study, and why they chose to pursue a doctoral degree in the field. This information can help the interviewer understand the student's motivations and provide insight into their analytical skills.

Example: “ There are many things that I enjoy about being a doctoral student in operations research. First and foremost, I enjoy the challenge of working on complex problems and finding creative solutions to them. I also enjoy the camaraderie of working with other students and faculty in the department, as well as the opportunity to learn from some of the world's leading experts in the field. Finally, I am very grateful for the support that my department has provided throughout my studies. ”

There are many reasons why an interviewer might ask this question. They may be trying to gauge the level of difficulty the student is having in their studies, or they may be trying to assess how the student is coping with the demands of their program. It is important for the interviewer to know how the student is progressing in their studies and if they are having any difficulty adjusting to the rigors of a doctoral program. Additionally, this question can help the interviewer determine if the student is able to handle the challenges of an operations research career.

Example: “ There are many challenges that come with being a doctoral student in operations research. One of the most challenging things is staying on top of the latest research and developments in the field. This can be a full-time job in itself, and it is often difficult to find the time to do your own research while also keeping up with the latest literature. Additionally, it is important to be able to effectively communicate your research findings to both academic and non-academic audiences. This requires a high level of writing and presentation skills, which can be difficult to develop while also juggling coursework, exams, and other commitments. ”

There are several reasons why an interviewer might ask this question. First, they may be interested in knowing what inspired the Operations Research Analyst to pursue a career in this field. Second, they may want to know what motivated the Operations Research Analyst to become a professor, which can provide insight into their teaching methods and philosophies. Finally, this question can also help the interviewer gauge the Operations Research Analyst's level of commitment to their chosen profession.

Example: “ I was motivated to become a professor of operations research because I wanted to help people solve problems more efficiently. I also wanted to share my knowledge with others so that they could benefit from it as well. ”

There could be many reasons why an interviewer would ask this question. It could be to get a sense of what the operations research analyst enjoys about their job, to gauge their passion for the field, or to see if they are able to articulate what they like about their job. It is important for the interviewer to understand what the operations research analyst enjoys about their job because it can give insight into how motivated they are to do their work, how satisfied they are with their career choice, and how engaged they are with their work. Additionally, it can help the interviewer understand what motivates the operations research analyst and what challenges they find most fulfilling.

Example: “ There are many things that I enjoy about being a professor of operations research. I love the challenge of working on complex problems and finding creative solutions. I also enjoy the opportunity to share my knowledge with students and help them develop their own skills in operations research. Additionally, I appreciate the collegial atmosphere among faculty and the chance to collaborate with colleagues on research projects. ”

There are a few reasons why an interviewer would ask this question. First, they want to know if the analyst has a good understanding of the challenges faced by professors of operations research. Second, they want to know how the analyst would deal with those challenges. Finally, they want to see if the analyst is up to date on the latest research in the field.

Operations research analysts need to have a strong understanding of the challenges faced by professors of operations research so that they can provide the best possible advice and support. Additionally, this question allows the interviewer to gauge the analyst's level of knowledge and experience in the field.

Example: “ There are a few challenges that come to mind when thinking about being a professor of operations research. Firstly, it can be difficult to keep up with the latest research and developments in the field, as there is always something new to learn. Secondly, it can be challenging to engage students in operations research topics, as they may not be particularly interested in the subject matter. Finally, it can be difficult to find funding for operations research projects, as they may not be seen as a priority by funding bodies. ”

There are several reasons an interviewer might ask this question. They may be interested in knowing what inspired the candidate to become an entrepreneur, or they may want to understand what drives the candidate's professional ambition. This question can also be used to gauge the candidate's business acumen and understanding of the operations research industry. Additionally, the interviewer may be seeking to understand how the candidate's firm differs from other operations research firms in terms of its focus or approach. Ultimately, this question allows the interviewer to get a better sense of the candidate's professional goals and motivations.

Example: “ I started my own operations research consulting firm because I saw a need for such a service in the marketplace. I saw that many businesses were struggling to make effective use of data and analytics, and I wanted to help them overcome these challenges. I also saw an opportunity to build a successful business in this growing field. ”

An interviewer might ask "What is your favorite thing about being an operations research consultant?" to get a sense of what the Operations Research Analyst enjoys about their job. This can be important because it can help the interviewer understand what motivates the Operations Research Analyst and what they find most rewarding about their work. Additionally, this question can help the interviewer gauge the Operations Research Analyst's level of satisfaction with their current position and company.

Example: “ I love the challenge of finding the best way to solve a problem. I also enjoy the variety of work that comes with being an operations research consultant. Every day is different and I get to work on a variety of interesting projects. ”

There are a few reasons why an interviewer might ask this question. First, it allows the interviewer to gauge the candidate's understanding of the challenges associated with the role. Second, it allows the interviewer to assess the candidate's ability to identify and articulate these challenges. Finally, it provides the interviewer with insight into the candidate's problem-solving skills and ability to think strategically about complex issues. Ultimately, the interviewer is looking for a candidate who has a deep understanding of the role and its challenges and who is able to provide thoughtful, well-reasoned answers.

Example: “ There are a few challenges that come to mind when thinking about being an operations research consultant. First, it can be difficult to find clients who are willing to invest in operations research consulting services. This can be a particular challenge if you are starting your own consulting business. Secondly, even if you do have clients, the work can be very demanding and challenging, requiring long hours and sometimes travel. Finally, because operations research is such a specialized field, it can be difficult to find qualified consultants to work with you on projects. ”

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Pdf Notes, Ebooks & MCQs

Operations Research Objective Questions and Answers

Operations Research Objective Questions and Answers. Operations research MCQ with answers for the preparation competitive & academic exams.

Are you searching for Operations Research Objective Questions and Answers? If so, you have come to the right place. Here we provide a comprehensive list of questions and answers related to operations research that cover a wide range of topics.

This article aims to provide an overview of the field and help students understand the fundamentals of operations research quickly and easily. It is written with a focus on practical application as well as theoretical understanding.

Operations Research

What is Operations Research

Operations Research is a scientific approach to decision-making that involves the use of mathematical models, statistical analysis, and optimization techniques.

It is an interdisciplinary field that integrates concepts from mathematics, statistics, computer science, and engineering to optimize complex systems. Operations Research aims at improving organizational efficiency and productivity by solving real-world problems.

The origins of Operations Research can be traced back to World War II when military personnel used mathematical models to improve strategic planning and logistics.

Since then, it has evolved into a powerful tool for decision-makers in various fields such as transportation, healthcare, finance, and manufacturing. The applications of Operations Research are diverse; from scheduling airline flights to optimizing the production line in a factory.

One of the key features of Operations Research is its ability to provide quantitative solutions to complex problems.

Operations Research MCQs with answers

1. KAP stands for – a. Knowledge awareness practice b. Knowledge authority process c. Knowledge awareness process d. None of the following

Answer: (a)

2. It is defined as a systematic viewing of specific phenomena in their proper setting for the specific purpose of gathering data for a particular study a. Observation b. Research c. Analysis d. Scientific method

3. The ___ is a part of the phenomenon or group which is observed and he acts as both an observer and a participant. a. Researcher b. Observe c. Analyses d. None of the above

Answer: (b)

4. A ___ is the arrangement of conditions for the collection and analysis of data in a manner that aims to combine relevance to the research purpose with economy in procedure. a. Research design b. Research study c. Research model d. Both a & c

Answer: (d)

5. Research is a ___ and ___ study of an issue. a. Systematic and logical b. Arbitrary and scientific c. Verifiable and accurate d. Rational and precise

6. Who said- “Research is a systematic controlled, empirical and critical investigation of hypothetical propositions about the presumed relations among natural phenomena.” a. Young b. Kerlinger c. Porter d. None of the above

7. Scientific Method implies- a. Systematic step-by-step procedure following the logical processes of reasoning. b. Means for gaining knowledge of the universe c. It doesn’t refer to a specific subject of matter d. All of the above

8. Research simply stands for: a. Search for facts b. Answers to questions c. Solutions to problems d. All of the above

9. Research is for- a. To find explanations to unexplained phenomenon b. To clarify the doubtful facts c. To correct the misconceived facts d. All of the above

10. Good research design reduces the was the tag of ___ and ___ a. Time, cost b. All resources c. Manpower, time d. Time, data

11. Stratification process involves three major decisions, stratification bases, ___ and ___ a. Number, sizes b. State sample sizes number of strata c. Both a & b d. All of the above

12. It is a two-way systematic conversation between an investigator and an informant, initiated for obtaining information relevant to a specific study. a. Research b. Interview c. Interviewing d. Observation

Answer: (c)

13. When a sufficient number of qualified interviewers are available, ___ is feasible a. Personal interview b. Individual interview c. Group interview d. None of the above

14. This type of interview is used for large-scale formalized surveys. a. None-directed interview b. Focused interview c. Structured interview d. Depth interview

15. This interviewing is more useful in case studies rather than surveys. a. Unstructured b. Non-directive interview c. Both a and b d. Focused interview

16. The ___ interview permits the interviewer to obtain details of personal reactions, specific emotions, and the like. a. Focused b. Clinical c. Depth d. Structured

17. Social casework, prison administration, psychiatric clinics, etc. are the most common types of ___ interview. a. Focused b. Clinical c. Depth d. Structured

18. This requires much more training on interpersonal skills. a. Depth interview b. Structured interview c. Clinical interview d. Focused interview

19. Information furnished by the respondent in the interview is recorded by the: a. Interviewer b. Investigator c. Observer d. Researcher

20. Interview is an ___ process a. Interactive b. Interaction c. Dealing d. Communicating

21. The investigator should plan the ___ for dealing with various situations of respondents. a. Methods b. Procedure c. Strategies d. Cases

22. Before starting the research interview, the interviewer should establish a ___ also called a friendly relationship with the respondent. a. Report b. Relationship c. Image d. Goodwill

23. ___ distinguishes five principal symptoms of inadequate response. a. Blummar b. Kahn and Cannel c. Taylor d. Doan John

24. ___ reduces the effective sample size and its representativeness. a. Inaccessibility b. Refusal c. Non-responses d. All of the above

25. A ___ is defined as a method of collecting primary data in which a number of individuals with a common interest interact with each other. a. Group interview b. Group discussion c. Both a and b d. None

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(2024) MCQs

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300+ top operations research mcqs and answers quiz, operations research multiple choice questions.

1. The main objective of OR is to provide a ___, ___ to the decision-makers. Answer: Scientific basis

2. OR employs a team of ___ from ___ ___. Answer: Scientists, different disciplines

3. Mention two applications of OR. Answer: Industry Planning

4. How can a hospital benefit from the application of OR methods? Answer: To solve waiting for problems

5. OR ___ inter-disciplinary approach. Answer: Imbibes

6. OR increases the effectiveness of ___ ability. Answer: Decision making

7. OR gives a qualitative solution Answer: True

8. One of the OR phases is the Action phase Answer: True

9. Diagram belongs to the physical model Answer: True

10. Allocation problems are represented by the iconic model Answer: False

Operations Research MCQs

11. OR methodology consists of definition, solution and validation only. Answer: False

12. The interaction between the OR team and Management reaches peak level in the implementation phase. Answer: False

13. OR imbibes ___ team approach. Answer: Inter-disciplinary

14. Linear programming is the tool of ___. Answer: OR

15. The three phases of OR are ___. Answer: Judgement phase, Research phase & Action phase

16. To solve any problem through the OR approach the first step is ___. Answer: Define the problem

17. ___ represents a real-life system. Answer: Model

18. ___ represents the controlled variables of the system Answer: Parameters

19. Both the objective function and constraints are expressed in ___ forms. Answer: Linear

20. LPP requires existence of ___, ___, ___ and ___. Answer: An alternate course of action

21. Solution of decision variables can also be ____. Answer: Fractious

22. One of the characteristics of canonical form in the objective function must be of maximisation. Answer: True

23. 2x – 3y ≤ 10 can be written as -2x + 3y ≥-10 Answer: True

24. The collection of all feasible solutions is known as the ___ region. Answer: Feasible

25. A linear inequality in two variables is known as a ___. Answer: Half-plan

26. The feasible region is a convex set Answer: True

27. The optimum value occurs the anywhere infeasible region Answer: False

28. We add a surplus variable for “≤” of constraint. Answer: False

29. The right-hand side element of each constraint is non-negative. Answer: True

30. A basic solution is said to be a feasible solution if it satisfies all constraints. Answer: True

31. If one or more values of the basic variable are zero then the solution is said to be degenerate. Answer: True

32. The right-hand side element of each constraint is non-negative. Answer: Yes

33. The key column is determined by Zj – Cj row. Answer: Yes

34. Pivotal element lies on the crossing of the key column and key row. Answer: No

35. The negative and infinite ratios are considered for determining key row. Answer: Yes

36. The value of artificial value is “M”. Answer: Yes

37. Artificial variables enter as basic variables. Answer: Yes

38. Dual LPP always reduces the amount of computation. Answer: No

39. It is possible to reverse the dual LPP to primal LPP Answer: Yes

40. The coefficients of decision variables in the objective function become quantities on the right-hand side of ___. Answer: Dual

41. “≤” constraints changes to ___ type in dual LP. Answer: ≥

42. For every LPP, there exists a unique ___ problem. Answer: Dual

43. Dual variables represent the worth or unit of a resource. Answer: True

44. Optimality is reached when the resources are not fully utilised. Answer: False

45. At the optimum level the relationship holds as a strict equation Answer: True

46. Sensitivity analysis is carried out on ___ simplex table. Answer: Final

47. It helps us to study the effect of changes in ___ ___ in the objective function. Answer: Resource, levels

48. The results of sensitive analysis establish ___ and ___ ___ for input parameters value. Answer: Upper, lower, bounce

49. Transportation problems are a special type of ___. Answer: LPP

50. The number of rows and columns need not always be ___. Answer: Equal

51. Transportation problem develops a schedule at ___ and ___. Answer: Minimum cost

52. In transportation problems, ∑ai = ∑bj is a sufficient and necessary condition for getting a feasible solution. Answer: Yes

53. Transportation problems can also be solved by the simplex method. Answer: Yes

54. Matrix-minima method gives the optimum solution. Answer: No

55. In matrix-minima method, you start allocating from the left-top cell of the table. Answer: False

56. In Vogel‟s approximation method, you first construct penalty and then start allocating. Answer: True

57. North-west corner rule gives the optimum solution. Answer: False

58. Vogel‟s approximation method gives a solution near to the optimum solution. Answer: True

59. All the values of ΔCij – ui – vj should be ___ or ___ for the solution to be optimum. Answer: zero

60. In unbalanced transportation problem ∑ai is ___ ___ to ∑bj. Answer: Not equal to

61. If the number of allocation is less than ___ then it is said to be a degenerate transportation problem. Answer: m + n – 1

62. In an AP, the constraints are of equality type. Answer: True

63. The number of facilities should be equal to the number of resources. Answer: True

64. The decision variables can take on any value. Answer: False

65. In the Hungarian method, you prepare the row-reduced matrix. Answer: True

66. The number of assignments should be equal to the number of rows for an optimum solution. Answer: True

67. There can be more than one allocation in a row. Answer: False

68. In unbalanced AP, the number of rows ___ to the number of columns. Answer: ≠

69. Hungarian method cannot be applied directly to ___ problem. Answer: Maximisation problem

70. If some jobs cannot be assigned to some machines, then it is called ___ assignment problem. Answer: Infeasible

71. In the travelling salesman problem, the objective is to visit each city ___ ___. Answer: Only once

72. Salesman has ___ different sequences if n is the number of cities to be visited. Salesman Answer: (n-1)

73. Integer programming is applied to problems that involve discrete variables. Answer: True

74. If some variables take on non-negative values, then it is known as pure IPP. Answer: False

75. An optimum solution to IPP is first obtained by using ___. Answer: Simplex method

Operations Research MCQs

1. Operations research is the application of ____________methods to arrive at the optimal Solutions to the problems.

  • a and b both

2.    In operations research, the ——————————are prepared for situations.

  • mathematical models
  • physical models diagrammatic
  • diagrammatic models

3.    Operations management can be defined as the application of ————-to a problem within a system to yield the optimal solution.

  • Suitable manpower
  • mathematical techniques, models, and tools
  • Financial operations

4.   Operations research is based upon collected information, knowledge and advanced study of various factors impacting a particular operation. This leads to more informed —-

  • Management processes
  • Decision making

5.    OR can evaluate only the effects of ————————————————–.

  • Personnel factors.
  • Financial factors
  • Numeric and quantifiable factors.

6 Which of the following is not the phase of OR methodology?

  • Formulating a problem
  • Constructing a model
  • Establishing controls
  • Controlling the environment

7 – The  objective  function  and  constraints  are  functions  of  two  types  of  variables,

_______________ variables and ____________ variables.

  • Positive and negative
  • Controllable and uncontrollable
  • Strong and weak
  • None of the above

8 – Operations research was known as an ability to win a war without really going in to ____

  • Battle field
  • The opponent
  • Both A and B

9 – Who defined OR as scientific method of providing executive departments with a quantitative basis for decisions regarding the operations under their control?

  • Morse and Kimball (1946)
  • P.M.S. Blackett (1948)
  • E.L. Arnoff and M.J. Netzorg

10 – OR has a characteristics that it is done by a team of

  • Mathematicians
  • All of the above

MCQ on Operations Research

11 – A solution can be extracted from a model either by

  • Conducting experiments on it
  • Mathematical analysis
  • Diversified Techniques

12 OR uses models to help the management to determine its _____________

13 What have been constructed from OR problems an methods for solving the models that are available in many cases?

  • Scientific Models
  • Mathematical Models

14 -Which technique is used in finding a solution for optimizing a given objective, such as profit maximization or cost reduction under certain constraints?

  • Quailing Theory
  • Waiting Line
  • Linear Programming

15 -What enables us to determine the earliest and latest times for each of the events and activities and thereby helps in the identification of the critical path?

  • Programme Evaluation
  • Review Technique (PERT)
  • Deployment of resources

16 – OR techniques help the directing authority in optimum allocation of various limited resources like_____

  • Man and machine
  • all of the above

17 -The Operations research technique which helps in minimizing total waiting and service costs is

  • ueuing Theory
  • Decision Theory

18 .What is the objective function in linear programming problems?

  • A constraint for available resource
  • An objective for research and development of a company
  • A linear function in an optimization problem
  • A set of non-negativity conditions

19 – .Which statement characterizes standard form of a linear programming problem?

  • Constraints are given by inequalities of any type
  • Constraints are given by a set of linear equations
  • Constraints are given only by inequalities of >= type
  • Constraints are given only by inequalities of <= type

20 – Feasible solution satisfies __________

  • Only constraints
  • only non-negative restriction
  • [a] and [b] both
  • [a],[b] and Optimum solution

21 – In Degenerate solution value of objective function _____________.

  • increases infinitely
  • basic variables are nonzero
  • decreases infinitely
  • One or more basic variables are zero

22 – Minimize Z = ______________

  • maximize(Z)
  • maximize(-Z)
  • none of the above

23 -In graphical method the restriction on number of constraint is _________

  • not more than 3

24 -In graphical representation the bounded region is known as _________ region.

  • basic solution
  • feasible solution

25 -Graphical optimal value for Z can be obtained from

  • Corner points of feasible region
  • Both a and c
  • corner points of the solution region

26 -In LPP the condition to be satisfied is

  • Constraints have to be linear
  • Objective function has to be linear
  • both a and b

27 – Identify the type of the feasible region given by the set of inequalities

x – y <= 1

x – y >= 2

where both x and y are positive.

  • A rectangle
  • An unbounded region
  • An empty region

28 -Consider the given vectors: a(2,0), b(0,2), c(1,1), and d(0,3). Which of the following vectors are linearly independent?

  • a)  b, and c are independent
  • a, b, and d are independent
  • a and c are independent
  • b and d are independent

Q29 – Consider the linear equation

x1 + 3 x2 – 4 x3 + 5 x4 = 10

How many basic and non-basic variables are defined by this equation?

  • One variable is basic, three variables are non-basic
  • Two variables are basic, two variables are non-basic
  • Three variables are basic, one variable is non-basic
  • All four variables are basic

30 – The objective function for a minimization problem is given by

z = 2 x1 – 5 x2 + 3 x3

The hyperplane for the objective function cuts a bounded feasible region in the space (x1,x2,x3). Find the direction vector d, where a finite optimal solution can be reached.

  • d(-2,-5,-3)

31 – In game theory, the outcome or consequence of a strategy is referred to as the

  • end-game strategy.

32-  Operations Research approach is?

  • multi-disciplinary
  •  collect essential data

33 – Operation research approach is typically based on the use of _____

  • physical model
  •  mathematical model
  •  iconic model
  •  descriptive model

34 – Mathematical model of linear programming problem is important because ________

  • it helps in converting the verbal description and numerical data into mathematical expression
  • decision makers prefer to work with formal models
  •  it captures the relevant relationship among decision factors
  •  it enables the use of algebraic technique

35 –  In Program Evaluation Review Technique for an activity, the optimistic time 2, the pessimistic time is 12 and most-likely time is 4. What is the expected time?

36 – Graphical method of linear programming is useful when the number of decision variable are __________.

37 – A feasible solution to a linear programming problem _______________.

  • must satisfy all the constraints of the problem simultaneously
  •  need not satisfy all of the constraints, only some of them
  •  must be a corner point of the feasible region.
  •  must optimize the value of the objective function

38 – Utilization factor is also known as ___________.

  • Traffic intensity
  • Kendals notation
  • Row minima method
  • Unbalanced assignment problem

39 –  While solving a linear programming problem in feasibility may be removed by _________.

  • adding another constraint
  •  adding another variable
  •  removing a constraint
  • removing a variable

40 –  In the optimal simplex table, Zj-Cj=0 value indicates _____________.

  • alternative solution
  •  bounded solution
  •  infeasible solution
  •  unbounded solution

41 –  If all aij values in the entering variable column of the simplex table are negative, then ___________.

  • there are multiple solutions
  •  there exist no solution
  •  solution is degenerate
  •  solution is unbounded

42 –  If an artificial variable is present in the basic variable column of optimal simplex table, then the solution is ___________.

  • alternative
  • no solution

43 – For any primal problem and its dual ______________.

  • optimal value of objective function is same
  • primal will have an optimal solution iff dual does too
  •  both primal and dual cannot be infeasible
  •  dual will have an optimal solution iff primal does too

44 – Principle of complementary slackness states that ____________.

  • primal slack*dual main=0
  •  primal main+dual slack=0
  • primal main+dual surplus=0
  •  dual slack*primal main not equal to zero

45 – If primal linear programming problem has a finite solution, then dual linear programming problem should have ____________.

  • finite solution
  •  infinite solution
  • bounded solution
  •  alternative solution

46 – The initial solution of a transportation problem can be obtained by applying any known method. How-ever, the only condition is that __________.

  • the solution be optimal
  •  the rim conditions are satisfied
  •  the solution not be degenerate
  • the few allocations become negative

47 -The dummy source or destination in a transportation problem is added to ______.

  • satisfy rim conditions
  • prevent solution from becoming degenerate
  • ensure that total cost does not exceed a limit

48 – Which of the following methods is used to verify the optimality of the current solution of the transportation problem ____________.

  • Modified Distribution Method
  • Least Cost Method
  •  Vogels Approximation Method
  •  North West Corner Rule

49 – An optimal assignment requires that the maximum number of lines which can be drawn through squares with zero opportunity cost be equal to the number of ________.

  • rows or coloumns
  • rows and coloumns
  • rows+columns- 1
  • rows-columns

50 –  Maximization assignment problem is transformed into a minimization problem by ________.

  • adding each entry in a column from the maximum value in that column
  •  subtracting each entry in a column from the maximum value in that column
  • subtracting each entry in the table from the maximum value in that table
  •  adding each entry in the table from the maximum value in that table

51 –  To proceed with the MODI algorithm for solving an assignment problem, the number of dummy allocations need to be added are ___________.

52 – An artificial variable leaves the basis means, there is no chance for the ________ variable to enter once again.

53 –  Simplex method was designed by ___________.

54 – Dual Simplex Method was introduced by ____________.

55 – The cell with allocation can be called ___________ .

  •  Empty cell
  •  Basic cell
  • Non-basic cell

56 – The cell without allocation is called __________.

  •  Non-basic cell
  • Basic solution

57 – Service mechanism in a queuing system is characterized by ___

  • customers behavior
  •  servers behavior
  •  customers in the system
  •  server in the system

58 – The problem of replacement is felt when job performing units fail ____

  • suddenly and gradually
  •  neither gradually nor suddenly

59 – Least Cost Method is also known as __________.

  • North West Corner Method
  •  Matrix Minima Method
  •  Row Minima method
  • Coloumn Minima method

60 – The objective of network analysis is to ___________.

  • minimize total project duration
  •  minimize total project cost
  •  minimize production delays, interruption and conflicts
  •  maximize total project duration

61 – A activity in a network diagram is said to be __________ if the delay in its start will further delay the project completion time.

  • forward pass
  • backward pass
  • non critical

62 – A strategy that is best regardless of what rival players do is called

  • first-mover advantage.
  • a Nash equilibrium strategy.
  • tit-for-tat.
  • a dominant strategy.

63 – A game that involves interrelated decisions that are made over time is a

  • sequential game .
  • repeated game.
  • zero-sum game.
  • nonzero-sum game.

64 – A game that involves multiple moves in a series of identical situations is called a

  • sequential game.
  • repeated game .

65 – Sequential games can be solved using

  • dominated strategies.
  • backward induction
  • risk averaging.

66 – A firm that is threatened by the potential entry of competitors into a market builds excess production capacity. This is an example of

  • a prisoners’ dilemma.
  • a credible threat.

67 – What is the fundamental purpose of game theory?

  • To analyse decision-making
  • To analyse strategic interactions
  • To predict decision outcome
  • To predict firm behaviour

68 – An assignment problem is considered as a particular case of a transportation problem because

  • The number of rows equals columns
  • All xij= 0 or 1
  • All rim conditions are 1

69 – An optimal assignment requires that the maximum number of lines that can be drawn through squares with zero opportunity cost be equal to the number of

  • Rows or columns
  • Rows & columns
  • Rows + columns –1 d.

70 – While solving an assignment problem, an activity is assigned to a resource through a square with zero opportunity cost because the objective is to

  • Minimize total cost of assignment
  • Reduce the cost of assignment to zero
  • Reduce the cost of that particular assignment to zero

71 – The method used for solving an assignment problem is called

  • Reduced matrix method
  • MODI method
  • Hungarian method

72 – The purpose of a dummy row or column in an assignment problem is to

  • Obtain balance between total activities &total resources
  • Prevent a solution from becoming degenerate
  • Provide a means of representing a dummy problem

73 – Maximization assignment problem is transformed into a minimization problem by

  • Adding each entry in a column from the maximization value in that column
  • Subtracting each entry in a column from the maximum value in that column
  • Subtracting each entry in the table from the maximum value in that table
  • Any one of the above

74 – If there were n workers & n jobs there would be

  • n! solutions
  • (n-1)! solutions
  • (n!)nsolutions
  • n solutions

75 -An assignment problem can be solved by

  • Simplex method
  • Transportation method
  • Both a & b
  • none of above

76 – The assignment problem

  • Requires that only one activity be assigned to each resource
  • Is a special case of transportation problem
  • Can be used to maximize resources

Q77 – An assignment problem is a special case of transportation problem, where

  • Number of rows equals number of columns
  • Values of each decision variable is either 0 or 1

78 – Every basic feasible solution of a general assignment problem, having a square pay-off matrix of order, n should have assignments equal t

79 – To proceed with the MODI algorithm for solving an assignment problem, the number of dummy allocations need to be added are

80 – The Hungarian method for solving an assignment problem can also be used to solve

  • A transportation problem
  • A travelling salesman problem
  • A LP problem

MCQ on Operations Research 

81  An optimal solution of an assignment problem can be obtained only if

  • Each row & column has only one zero element
  • Each row & column has at least one zero element
  • The data is arrangement in a square matrix

82 – Which method usually gives a very good solution to the assignment problem?

  • northwest corner rule
  • Vogel’s approximation method

d) stepping-stone method

83 – The northwest corner rule requires that we start allocating units to shipping routes in the: middle cell.

  • Lower right corner of the table.
  • Upper right corner of the table.
  • Highest costly cell of the table.
  • Upper left-hand corner of the table.

84 – The table represents a solution that is:

  • an initial solution
  • degenerate.

85 – Which of the following is used to come up with a solution to the assignment problem?

  • northwest corner method
  • stepping-stone method

86 – What is wrong with the following table?

  • The solution is infeasible.
  • The solution is degenerate.
  • The solution is unbounded.
  • The solution is inefficient in that it is possible to use fewer routes.

87 –  The solution presented in the following table is

  • infeasible.

88 – The solution shown was obtained by Vogel’s approximation. The difference between the objective function for this solution and that for the optimal is

89 – Optimal solution of an assignment problem can be obtained only if

90 – In assignment problem of maximization, the objective is to maximise

  • optimization

91 – What is the difference between minimal cost network flows and transportation problems?

  • The minimal cost network flows are special cases of transportation problems
  • The transportation problems are special cases of the minimal cost network flows
  • There is no difference
  • The transportation problems are formulated in terms of tableaus, while the minimal cost network flows are formulated in terms of graphs

92 – With the transportation technique, the initial solution can be generated in any fashion one chooses. The only restriction is that

  • the edge constraints for supply and demand are satisfied.
  • the solution is not degenerate.
  • the solution must be optimal.
  • one must use the northwest-corner method

93 – The purpose of the stepping-stone method is to

  • develop the initial solution to the transportation problem.
  • assist one in moving from an initial feasible solution to the optimal solution.
  • determine whether a given solution is feasible or not.
  • identify the relevant costs in a transportation problem.

94 – The purpose of a dummy source or dummy destination in a transportation problem is to

  • prevent the solution from becoming degenerate.
  • obtain a balance between total supply and total demand.
  • make certain that the total cost does not exceed some specified figure.
  • provide a means of representing a dummy problem.

94 – Which of the following is NOT needed to use the transportation model?

  • the cost of shipping one unit from each origin to each destination
  • the destination points and the demand per period at each
  • the origin points and the capacity or supply per period at each

95 – Which of the following is a method for improving an initial solution in a transportation problem?

  • northwest-corner
  • intuitive lowest-cost
  • southeast-corner rule
  • stepping-stone

96 – The transportation method assumes that

  • there are no economies of scale if large quantities are shipped from one source to one destination
  • the number of occupied squares in any solution must be equal to the number of rows in the table plus the number of columns in the table plus 1.
  • there is only one optimal solution for each problem.
  • the number of dummy sources equals the number of dummy destinations.

97 – An initial transportation solution appears in the table.

  • Yes, this solution can be improved by $50.
  • Yes, this solution can be improved by $100.
  • No, this solution is optimal.
  • Yes, the initial solution can be improved by $10.

98 – What is the cost of the transportation solution shown in the table?

99 – Which statement regarding this transportation table is best?

  • This solution can be improved by shipping from C to X.
  • This solution would be improved by shipping from B to W.
  • This solution was developed using the northwest corner rule.

100 – Which of these statements about the stepping-stone method is best?

  • A dummy source and destination must be added if the number of rows plus columns minus 1 is not equal to the number of filled squares.
  • Only squares containing assigned shipments can be used to trace a path back to an empty square.
  • An improvement index that is a net positive means that the initial solution can be improved.
  • Only empty squares can be used to trace a path back to a square containing an assigned shipment

101 – In  a  transportation  problem,  we  must  make  the  number  of  _______  and______ equal.

  • destinations; sources
  • units supplied; units demanded
  • columns; rows
  • positive cost coefficients; negative cost coefficients

102 – _________ or __________ are used to “balance” an assignment or transportation problem.

  • Destinations; sources
  • Units supplied; units demanded
  • Dummy rows; dummy columns
  • Large cost coefficients; small cost coefficients

103 – The net cost of shipping one unit on a route not used in the current transportation problem solution is called the __________.

  • change index
  • Improvement index

104 – The procedure used to solve assignment problems wherein one reduces the original assignment costs to a table of opportunity costs is called __________.

  • matrix reduction
  • northwest reduction

105 – The method of finding an initial solution based upon opportunity costs is called__________.

  • the northwest corner rule
  • Vogel’s approximation
  • Johanson’s theorem
  • Flood’s technique

106 – An assignment problem can be viewed as a special case of transportation problem in which the capacity from each source is _______ and the demand at each destination is________.

  • Infinity; infinity

107 – _______ occurs when the number of occupied squares is less than the number of rows plus

  • Infeasibility
  • Unboundedness

108 – Both transportation and assignment problems are members of a category of LP problems called ______.

  • shipping problems
  • logistics problems
  • generalized flow problems
  • network flow problem

109 – The equation Ri + Kj = Cij is used to calculate __________.

  • an improvement index for the stepping-stone method
  • the opportunity costs for using a particular route
  • the MODI cost values (Ri, Kj)
  • the degeneracy index

110 – In case of an unbalanced problem, shipping cost coefficients of ______ are assigned to each created dummy factory or warehouse.

  • very high positive costs
  • very high negative costs

111 – The initial solution of a transportation problem can be obtained by applying any known method. However, the only condition is that

  • The solution be optimal
  • The rim conditions are satisfied
  • The solution not be degenerate

112 – The dummy source or destination in a transportation problem is added to

  • Satisfy rim conditions
  • Prevent solution from becoming degenerate
  • Ensure that total cost does not exceed a limit

113 – The occurrence of degeneracy while solving a transportation problem means that

  • Total supply equals total demand
  • The solution so obtained is not feasible
  • The few allocations become negative

114 – An alternative optimal solution to a minimization transportation problem exists whenever opportunity cost corresponding to unused route of transportation is:

  • Positive & greater than zero
  • Positive with at least one equal to zero
  • Negative with at least one equal to zero

115 – One disadvantage of using North-West Corner rule to find initial solution to the transportation problem is that

  • It is complicated to use
  • It does not take into account cost of transportation
  • It leads to a degenerate initial solution

116 – The solution to a transportation problem with ‘m’ rows (supplies) & ‘n’ columns (destination) is feasible if number of positive allocations are

117 – If an opportunity cost value is used for an unused cell to test optimality, it should be

  • Equal to zero
  • Most negative number
  • Most positive number

118 – During an iteration while moving from one solution to the next, degeneracy may occur when

  • The closed path indicates a diagonal move
  • Two or more occupied cells are on the closed path but neither of them represents a corner of the path.
  • Two or more occupied cells on the closed path with minus sign are tied for lowest circled value
  • Either of the above

119 – The large negative opportunity cost value in an unused cell in a transportation table is chosen to improve the current solution because

  • It represents per unit cost reduction
  • It represents per unit cost improvement
  • It ensure no rim requirement violation

120 – The smallest quantity is chosen at the corners of the closed path with negative sign to be assigned at unused cell because

  • It improve the total cost
  • It does not disturb rim conditions
  • It ensure feasible solution

121 – When total supply is equal to total demand in a transportation problem, the problem is said to be

122 – Which of the following methods is used to verify the optimality of the current solution of the transportation problem

  • Least cost method
  • Modified distribution method

123 – The degeneracy in the transportation problem indicates that

  • Dummy allocation(s) needs to be added
  • The problem has no feasible solution
  • The multiple optimal solution exist
  • a & b but not c

124 – In a transportation problem, when the number of occupied routes is less than the number of rows plus the number of columns -1, we say that the solution is:

  • Unbalanced.
  • Infeasible.
  • Degenerate.

125 – The only restriction we place on the initial solution of a transportation problem is that: we must have nonzero quantities in a majority of the boxes.

  • all constraints must be satisfied.
  • demand must equal supply.
  • we must have a number (equal to the number of rows plus the number of columns minus one) of boxes which contain nonzero quantities.

126 – The initial solution of a transportation problem can be obtained by applying any known method. However, the only condition is that

  • the rim condition are satisfied
  • the solution not be degenerate

127 – The dummy source or destination in a transportation problem is added to

  • satisfy rim condition

128 – The occurrence of degeneracy while solving a transportation problem means that

  • total supply equals total demand
  • the solution so obtained is not feasible

129 – An alternative optimal solution to a minimization transportation problem exists whenever opportunity cost corresponding to unused routes of transportation is:

  • positive and greater than zero
  • positive with at least one equal to zero
  • negative with at least one equal to zero

130 – One disadvantage of using North-West Corner Rule to find initial solution to the transportation problem is that

  • it is complicated to use
  • it does not take into account cost of transportation
  • it leads to degenerate initial solution

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