OPERTATION RESEARCH

Paper Code: 
DFSG 511 B
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

Course Outcomes (COs)

Course Outcome

Learning and teaching strategies

Assessment Strategies

On completion of this course, the students will be able to

CO141 Analyze decision-making situations in business and tools of decision science

CO142 Solve problems of Linear Programming (LP) for optimum allocation of resources using different approaches.

CO143 Evaluate the real business problems by applying the knowledge of game theory and Predict the problems of service industry and analyse the concepts related to queuing theory.

 CO144 Solve the transportation and interpret the cost-effective decision.

CO145 analyze the uncertainty and risk situation of business and propose their solution with assignment the decision theory analysis.

Interactive Lectures,

Group

Discussion,

Tutorials, Reading

assignments,

Workshops

and question preparation

 

Class test, Semester end examinations, Quiz, Solving problems in tutorials, Assignments, Individual projects

 

12.00
Unit I: 
Introduction

An Introduction to Operations Research, Definition, Scope of operation research, characteristics, advantages and limitations. Quantitative approach to decision-making, models and modelling in operation research.

12.00
Unit II: 
Linear Programming

Structure of Linear Programme model, Assumptions, Advantages and Limitations. General mathematical formulation model .Graphical and Simplex Solutions of LPP. Primal and Duality in LPP.

12.00
Unit III: 
Game Theory and Queuing Theory

Game Theory -Meaning, Theory of game- formulation of game model. Two person zero sum game & their solution, 2 X N and M X 2 games, pure with saddle point, Mix strategies (Graphical and algebraic methods), Limitations of Game theory.
Queuing Theory – meaning, concepts and operating characteristics of Queuing theory, Mathematical Analysis of Queuing Process.

12.00
Unit IV: 
Transportation

Transportation: General Structure of Transportation problem, methods of finding, methods of finding initial basic feasible solution (NWCM, LCM & VAM), Testing the optimality MODI method.
Cases of unbalanced problems, Degeneracy, Maximization objective, Multiple solutions and Prohibited Routes

12.00

Assignment: Assignment problems, Introduction, General structure, problems on minimization & maximization.
Decision Theory: Decision theory- decision under uncertainty- Maxmin & Minmax, decision under Risk- Expected Value, decision tree problems.

Essential Readings: 

SUGGESTED TEXT BOOKS:

  • Mathur, Khandelwal, Gupta, Gupta, Operational Research, Ajmera Book Company, Jaipur
  •    Nag, N. K., Quantitative Methods, Kalyani Publishers, Jaipur
  •    Agarwal, N.P., and Agarwal, Sonia, Quantitative Techniques For Management, Ramesh Book Depot, Jaipur .
  • M.Sreenivasa Reddy – Operations Research – CENGAGE , New Delhi S.Gurusamy–Elements of Operations Research–Vijay Nicole Imprints private Limited, Chennai

 

SUGGESTED REFERENCE BOOKS:

  • Kapoor, V. K., Operational Research, Sultan Chand & Sons, New Delhi
  •  Vohra, N. D., Quantitative Techniques in Management, Tata McGraw Hill, New Delhi
  • Taha, Hamady A. , Operational Research: An Introduction, Prentice Hall of India, New Delhi
  •  Agarwal NP and Sonia Agarwal, Operations Research and Quantitative Techniques, RBSA Publishers, New Delhi ,2009
  • Anand Sharma, Operations Research, Himalayan Publishing House, 2014 ,Mumbai
  • Gupta Pk And Gupta SP Quantitative Techniques and Operations Research, Sultan
  • Chand and Sons, 2014, New Delhi
  • Kanti Swarup,P.K. Gupta Man Mohan ,Operation research, Jain book agency, 2014, New Delhi
  • Sarangi, SK, Applied Operations Research And Quantitative Methods, Himalayan publishing house 2014, Mumbai.

E-RESOURCES:

REFERENCE JOURNALS:

  • European Journal of Operational Research
  • Operations Research Letters
  • Journal of the Operational Research Society
  • Asia-Pacific Journal of Operational Research
  • Mathematics of Operations Research

 

 

Academic Year: 
2023-2024
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