Models of Operations Research

Paper Code: 
ABF 401
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 operations research techniques in decision-making.

12.00
Unit I: 
Operations Research, Linear Programming

Operations Research: Basic Concepts and Definitions, merits and demerits, Techniques of operations research, role of operations research, application areas of operations research
Linear Programming: Mathematical formulation of Linear Programming problems and their solution using Graphic approach and Simplex method, Duality

10.00
Unit II: 
Transportation, Assignment

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

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, Queuing Theory

Game Theory: Games of Pure strategy, Games of Mixed strategy, Law of Dominance, Sub Game method
Queuing Theory: Meaning, features, elements of queuing theory, queuing system, Single Channel Queuing Problem.

7.00
Unit V: 
Decision Theory, Simulation

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: 

1. Quantitative Methods- N.K Nag (Kalyani Publishers)
2. Operational Research-Mathur, Khandelwal Gupta,Gupta (Ajmera Book Company)
3. Operational Research-V.K Kapoor (Sultan Chand)

References: 

1. Operational Research-Prof N.P.Agarwal (Ramesh Book Depot)
2. Quantitative Techniques- C.R Kothari (Vikas Publishing House Pvt Ltd)
3. Vohra N.D, Quantitative Techniques in Management, (Tata McGraw Hill New Delhi )
4. Taha, Hamady A, Operational Research- An Introduction, Prentice Hall of India

Academic Year: