Chapter 1 What Is Operations Research?
1.1 Introduction
1.2 Operations Research Models
1.3 Solvinq the OR Model
1.4 Queuing and Simulation Models
1.5 Art of Modeling
1.6 More than Just Mathematics
1.7 Phases of an OR Study
1.8 About this Book
Bibliography
Problems
Chapter 2 Modeling with Linear Programming
2.1 Two-Variable LP Model
2.2 Graphical LP Solution
2.3 Computer Solution with Solver and AMPL
2.4 Linear Programming Applications
Bibliography
Problems
Chapter 3 The Simplex Method and Sensitivity Analysis
3.1 LP Model in Equation Form
3.2 Transition from Graphical to Algebraic Solution
3.3 The Simplex Method
3.4 Artificial Startinq Solution
3.5 Special Cases in the Simplex Method
3.6 Sensitivity Analysis
3.7 Computational Issues in Linear Programming
Bibliography
Case Study: Optimization of Heart Valves Production
Problems
Chapter 4 Duality and Post-optima Analysis
4.1 Definition of the Dual Problem
4.2 Primal-Dual Relationshlps
4.3 Economic Interpretation of Duality
4.4 Additional Simplex Algorithms
4.5 Post-Optimal Analysis
Bibliography
Problems
Chapter 5 Transportation Model and Its Variants
5.1 Definition of the Transportation Model
5.2 Nontraditional Transportation Models
5.3 The Transportation Algorithm
5.4 The Assignment Model
Bibliography
Case Study:Scheduling Appointments at Australian
Tourist Commission Trade Events
Problems
Chapter 6 Network Model
6.1 Scope and Definition of Network Models
6.2 MinimaI Spanning Tree Algorithm
6.3 Shortest-Route Problem