Operations Research

Paper Code: 
AAF 415
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

The objective of this course is to acquaint the students with the use of operational research techniques in deCourse Outcome (COs):

 

Course

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

AAF 415

Operations Research

Upon successful completion of this course, the student will be able to:

CO 136: Rank the mathematical tools that are needed to solve optimization problems.

CO 137: Solve Transportation Models and Assignment Models.

CO 138: Design new simple models, like CPM, PERT to improve decision–making and develop critical thinking and objective analysis of decision problems.

CO 139: Gain an understanding on Game and Queuing Theory.

CO 140: Evaluate the best strategy in decision-making. Understand the concept of Monte Karlo Simulation Model

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Team teaching

 

Learning activities for the students:

Self learning assignments, Effective questions, Seminar presentation, Giving tasks.

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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

12.00
Unit I: 
Operational Research
  • Basic Concepts and Definitions.
  • Linear  Programming:  Mathematical  formulation  of  Linear Programming problems and their solution using Graphic approach and Simplex method, Duality Sensitivity Analysis.
10.00
Unit II: 
Transportation
  • Solving the problem. Testing the optimality.
  • MODI method.  Cases  of  unbalanced  problems,  Degeneracy, Maximization objective, Multiple solutions and Prohibited Routes.
  • Assignment: Solving the problem. Cases of unbalanced problems, multiple  optimum  solutions,  maximization  objective  and unacceptable assignments
8.00
Unit III: 
PERT/CPM
  • Network with one estimate of time. Networks with three estimates of time. 
  • Time-cost trade-off. 
  • Probability consideration under Pert
8.00
Unit IV: 
Game Theory
  • Games  of  Pure  strategy,  Games  of  Mixed strategy, Law of Dominance, Sub Game
  • Queuing Theory: Elements of Queuing theory, Single Channel Queuing Problem.
7.00
Unit V: 
Decision Theory
  • Maximin, Minimax, and Maximax expected pay off and regret, Expected value of Perfect Information, decision Tree Analysis, Theory
  • Simulation-   Methodology   and   Application   of   Simulation technique.Solution of elementary inventory and queuing problems by using Monte Karlo Simulation Model

        

 

Essential Readings: 

• Operational Research-Mathur, KhandelwalGupta,Gupta (Ajmera Book Company)
• Operational Research-V.K Kapoor (Sultan Chand)
• Operational Research-Prof N.P.Agarwal ( Ramesh Book Depot)

• Qunatitative Techniques- C.R Kothari(Vikas Publishing House Pvt Ltd)

• Vohra N.D, Quantitative Techniques in Management, (Tata McGraw Hill New Delhi Taha, Hamady A, Operational Research- An Introduction, Prentice Hall of India

• Quantitative Methods- N.K Nag (Kalyani Publishers)

• Qunatitative Techniques for Managerial Decsionos – U.K Srivastava, G.R Shenoy, S.C Sharma(New Age International)
• Operation Research: Anand Sharma( Himalaya Publishing House)

Academic Year: 
2021-2022
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