Operations Research is a textbook designed for B.A. and B.Sc. Third Year Semester VI students according to the National Education Policy (NEP-2020) syllabus of Deen Dayal Upadhyay Gorakhpur University (DDU).
This book is written by Dr. A.K. Ray, Dr. A.K. Srivastav, Dr. Jitendra Kumar Kushwaha, and Dr. Vidyasagar Chaubey and published by Vandana Prakashan, Gorakhpur.
The book explains the fundamental concepts of operations research, linear programming, transportation problems, assignment problems, and game theory in a clear and exam-oriented manner. It includes theory, solved examples, exercises, and important definitions useful for university examinations.
Contents of the Book
1. Operations Research – A Brief Introduction
Development and objectives of operations research
Mathematical models and scientific method
Applications of operations research
Decision making and programming concepts
2. Linear Programming Problem (LPP)
Mathematical formulation of LPP
Graphical method and corner point method
Analytical method and canonical form
Applications and solved problems
3. Convex Sets and Their Properties
Convex combinations and convex hull
Supporting and separating hyperplanes
Convex and concave functions
4. Simplex Method and Duality in LPP
Slack and surplus variables
Big-M method and degeneracy
Duality theorem and primal-dual problems
5. Transportation Problem
Mathematical formulation
Initial feasible solutions
MODI method and optimization tests
6. Assignment Problem
Hungarian method
Reduced matrix method
Travelling salesman problem
7. Game Theory
Strategies and competitive games
Pay-off matrix and optimal strategy
Saddle point and graphical solutions
Each chapter includes important definitions, solved numerical problems, and exercises to help students prepare effectively for university examinations.
This book is very useful for BA / BSc Mathematics students preparing for Semester VI exams.
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