Halftitle Page
Title Page
Copyright Page
Dedication
Table of Contents
Preface
Acronyms / Abbreviations
Chapter 1 Introduction to Operations Research
Definition
Origin and History
Pre-World War II Period (Before 1939)
During World War II (1939-1945)
Post-World War II Period (After 1945)
Indian Scenario
Characteristic Features
Need
Scope
Steps
Techniques
Application
Limitations
Review Questions
Chapter 2 Formulating Linear Programming Problem (LPP)
Linearity
Linear Programming (LP)
Linear Programming Problem (LPP)
Requirements
Assumptions
Applications
Advantages
Limitations
Formulating LP Model – Steps
Review Questions
Self-Practice Problems
Chapter 3 LPP-Optimal Solution by Graphical Method
Steps for Optimal Solution (Two Variable Case)
Review Questions
Self-Practice Problems
Chapter 4 Simplex Method - Simple Problems (For ≤ Type of LPP & for Slack Variable Case)
Steps for Maximization Function
Steps for Minimization Function
Review Questions
Self-Practice Problems
Chapter 5 Transportation Problem - Initial Basic Feasible Solution
Transportation Model
Purpose
Constraints
Assumptions
Initial Basic Feasible Solution
Degenerate Solution
Finding IBFS (Initial Basic Feasible Solution) – Steps
Review Questions
Self-Practice Problems
Chapter 6 Transportation Problem - Optimal Solution MODI - Modified Distribution Method
Steps in MODI Method
Transhipment Problem
Formulating Transhipment Problem – Steps
Review Questions
Self-Practice Problems
Chapter 7 Assignment Problem
Features
Assignment Problem vs. Transportation Problem
Hungarian Method & Optimal Solution
Steps for Obtaining Optimal Solution
Random Method
Restrictions
Travelling Salesman Assignment Problem (TSAP)
Under Random Method
Under Tree Route Method
Steps for Tree Route Analysis (TRA)
Review Questions
Self-Practice Problems
Chapter 8 Game Theory
Game
Game Theory
Types of Games
Basic Assumptions
Finding Value of Game for Pure Strategy – Steps
Finding Value of Game for Mixed Strategy – Steps
Dominance Property Method
Graphical Method
Review Questions
Self-Practice Problems
Glossary
Index