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 decision-making

Course Outcomes (COs):

Course

Learning outcome (at course level)

Learning and teaching strategies

Assessment Strategies

Paper Code

Paper Title

AAF 415

Operations Research

CO 144: Understand the characteristics of different types of decision-making environments and the appropriate decision making approaches and tools to be used in each type.

 

CO 145: Understand the mathematical tools that are needed to solve optimization problems.

 

 

CO 146: Build and solve Transportation Models and Assignment Models.

CO 147: Understand the best strategy in decision making using uncertainty and game theory.

 

CO 148: Design new simple models, like: CPM, PERT to improve decision –making and develop critical thinking and objective analysis of decision problems.

 

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
 
References: 
  • 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)
  • Operational Research-Mathur, KhandelwalGupta,Gupta (Ajmera Book Company) 
  • Operational Research-V.K Kapoor (Sultan Chand) 

 

Academic Year: 
2020-2021
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