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Chapter 1	Chapter 6	Chapter 11	Chapter 16	Chapter 21
Chapter 2	Chapter 7	Chapter 12	Chapter 17	Chapter 22
Chapter 3	Chapter 8	Chapter 13	Chapter 18	Chapter 23
Chapter 4	Chapter 9	Chapter 14	Chapter 19	Chapter 24
Chapter 5	Chapter 10	Chapter 15	Chapter 20	Chapter 25

TABLE OF CONTENTS

PREFACE

CHAPTER 1
Introduction
1.1 The Origins of Operations Research
1.2 The Nature of Operations Research
1.3 The Impact of Operations Research
1.4 Algorithms and OR Courseware
Problems

CHAPTER 2
Overview of the Operations Research Modeling Approach
2.1 Defining the Problem and Gathering Data
2.2 Formulating a Mathematical Model
2.3 Deriving Solutions from the Model
2.4 Testing the Model
2.5 Preparing to Apply the Model
2.6 Implementation
2.7 Conclusions
Selected References
Problems

CHAPTER 3
Introduction to Linear Programming
3.1 Prototype Example
3.2 The Linear Programming Model
3.3 Assumptions of Linear Programming
3.4 Additional Examples
3.5 Some Case Studies
3.6 Displaying and Solving Linear Programming Models on a Spreadsheet
3.7 Formulating Very Large Linear Programming Models
3.8 Conclusions
Appendix 3.1 The LINGO Modeling Language
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 3.1 Auto Assembly Case
3.2 Cutting Cafeteria Costs
3.3 Staffing a Call Center

CHAPTER 4
Solving Linear Programming Problems: The Simplex Method
4.1 The Essence of the Simplex Method
4.2 Setting Up the Simplex Method
4.3 The Algebra of the Simplex Method
4.4 The Simplex Method in Tabular Form
4.5 Tie Breaking in the Simplex Method
4.6 Adapting to Other Model Forms
4.7 Postoptimality Analysis
4.8 Computer Implementation
4.9 The Interior-Point Approach to Solving Linear Programming Problems
4.10 Conclusions
Appendix 4.1 An Introduction to Using LINDO
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 4.1 Fabrics and Fall Fashions
Case 4.2 New Frontiers
Case 4.3 Assigning Students to Schools

CHAPTER 5
The Theory of the Simplex Method
5.1 Foundations of the Simplex Method
5.2 The Revised Simplex Method
5.3 A Fundamental Insight
5.4 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems

CHAPTER 6
Duality Theory and Sensitivity Analysis
6.1 The Essence of Duality Theory
6.2 Economic Interpretation of Duality
6.3 Primal-Dual Relationships
6.4 Adapting to Other Primal Forms
6.5 The Role of Duality Theory in Sensitivity Analysis
6.6 The Essence of Sensitivity Analysis
6.7 Applying Sensitivity Analysis
6.8 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 6.1 Controlling Air Pollution
Case 6.2 Farm Management
Case 6.3 Assigning Students to Schools (Revisited)

CHAPTER7
Other Algorithms for Linear Programming
7.1 The Dual Simplex Method
7.2 Parametric Linear Programming
7.3 The Upper Bound Technique
7.4 An Interior-Point Algorithm
7.5 Linear Goal Programming and Its Solution Procedures
7.6 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 7.1 A Cure for Cuba

CHAPTER 8
The Transportation and Assignment Problems
8.1 The Transportation Problem
8.2 A Streamlined Simplex Method for the Transportation Problem
8.3 The Assignment Problem
8.4 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 8.1 Shipping Wood to Market
Case 8.2 Project Pickings

CHAPTER 9
Network Optimization Models
9.1 Prototype Example
9.2 The Terminology of Networks
9.3 The Shortest-Path Problem
9.4 The Minimum Spanning Tree Problem
9.5 The Maximum Flow Problem
9.6 The Minimum Cost Flow Problem
9.7 The Network Simplex Method
9.8 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 9.1 Aiding Allies
Case 9.2 Money in Motion

CHAPTER 10
Project Management with PERT/CPM
10.1 A Prototype Example--- The Reliable Construction Co. Project
10.2 Using a Network to Visually Display a Project
10.3 Scheduling a Project with PERT/CPM
10.4 Dealing with Uncertain Activity Durations
10.5 Considering Time-Cost Trade-Offs
10.6 Scheduling and Controlling Project Costs
10.7 An Evaluation of PERT/CPM
10.8 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 10.1 Steps to Success
Case 10.2 "School's out forever..."

CHAPTER 11
Dynamic Programming
11.1 A Prototype Example for Dynamic Programming
11.2 Characteristics of Dynamic Programming Problems
11.3 Deterministic Dynamic Programming
11.4 Probabilistic Dynamic Programming
11.5 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems

CHAPTER 12
Integar Programming
12.1 Prototype Example
12.2 Some BIP Applications
12.3 Innovative Uses of Binary Variables in Model Formulation
12.4 Some Formulation Examples
12.5 Some Perspectives on Solving Integer Programming Problems
12.6 The Branch-and-Bound Technique and Its Application to Binary Integer Programming
12.7 A Branch-and-Bound Algorithm for Mixed Integer Programming
12.8 Other Developments in Solving BIP Problems
12.9 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 12.1 Capacity Concerns
Case 12.2 Assigning Art
12.3 Stocking Sets
12.4 Assigning Students to Schools (Revisited Again)

CHAPTER 13
Nonlinear Programming
13.1 Sample Applications
13.2 Graphical Illustration of Nonlinear Programming Problems
13.3 Types of Nonlinear Programming Problems
13.4 One-Variable Unconstrained Optimization
13.5 Multivariable Unconstrained Optimization
13.6 The Karush-Kuhn-Tucker (KKT) Conditions for Constrained Optimization
13.7 Quadratic Programming
13.8 Separable Programming
13.9 Convex Programming
13.10 Nonconvex Programming
13.11 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 13.1 Savvy Stock Selection

CHAPTER 14
Game Theory
14.1 The Formulation of Two-Person, Zero-Sum Games
14.2 Solving Simple Games--A Prototype Example
14.3 Games with Mixed Stategies
14.4 Graphical Solution Procedure
14.5 Solving by Linear Programming
14.6 Extentions
14.7 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware Problems

CHAPTER 15
Decision Analysis
15.1 A Prototype Example
15.2 Decision Making without Experimentation
15.3 Decision Making with Experimentation
15.4 Decision Trees
15.5 Utility Theory
15.6 The Practical Application of Decision Analysis
15.7 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware Problems
Case 15.1 Brainy Business
Case 15.2 Smart Steering Support

CHAPTER 16
Markov Chains
16.1 Stochastic Processes
16.2 Markov Chains
16.3 Chapman-Kolmogorov Equations
16.4 Classification of States of a Markov Chain
16.5 Long-Run Properties of Markov Chains
16.6 First Passage Times
16.7 Absorbing States
16.8 Continuous Time Markov Chains
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems

CHAPTER 17
Queueing Theory
17.1 Prototype Example
17.2 Basic Structure of Queueing Models
17.3 Examples of Real Queueing Systems
17.4 The Role of the Exponential Distribution
17.5 The Birth-and-Death Process
17.6 Queueing Models Based on the Birth-and-Death Process
17.7 Queueing Models Involving Nonexponential Distributions
17.8 Priority-Discipline Queueing Models
17.9 Queueing Networks
17.10 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 17.1 Reducing In-Process Inventory

CHAPTER 18
The Application of Queueing Theory
18.1 Examples
18.2 Decision Making
18.3 Formulation of Waiting-Cost Functions
18.4 Decision Models
18.5 Some Award-Winning Applications of Queueing Theory
18.6 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 18.1 Queueing Quandary

CHAPTER 19
Inventory Theory
19.1 Examples
19.2 Components of Inventory Models
19.3 Deterministic Continuous-Review Models
19.4 A Deterministic Periodic-Review Model
19.5 A Stochastic Continuous-Review Model
19.6 A Stochastic Single-Period Model for Perishable Products
19.7 Stochastic Periodic-Review Models
19.8 Larger Inventory Systems in Practice
19.9 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 19.1 Brushing Up on Inventory Control
Case 19.2 TNT: Tackling Newsboy's Teachings
Case 19.3 Jettisoning Surplus Stock

CHAPTER 20
Forecasting
20.1 Some Applications of Forecasting
20.2 Judgmental Forecasting Methods
20.3 Time Series
20.4 Forecasting Methods for a Constant-Level Model
20.5 Incorporating Seasonal Effects into Forecasting Methods
20.6 An Exponential Smoothing Method for a Linear Trend Model
20.7 Forecasting Errors
20.8 Box-Jenkins Method
20.9 Casual Forecasting with Linear Regression
20.10 Forecasting in Practice
20.11 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 20.1 Finagling the Forecasts

CHAPTER 21
Markov Decision Processes
21.1 A Prototype Example
21.2 A Model for Markov Decision Processes
21.3 Linear Programming and Optimal Policies
21.4 Policy Improvement Algorithm for Finding Optimal Policies
21.5 Discounted Cost Criterion
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems

CHAPTER 22
Simulation
22.1 The Essence of Simulation
22.2 Some Common Types of Applications of Simulation
22.3 Generation of Random Numbers
22.4 Generation of Random Observations from a Probability Distribution
22.5 Outline of a Major Simulation Study
22.6 Performing Simulations on Spreadsheets
22.7 Variance-Reducing Techniques
22.8 Regenerative Method of Statistical Analysis
22.9 Conclusions
Selected References
Learning Aids for This Chapter in Your OR Courseware
Problems
Case 22.1 Planning Planers
Case 22.2 Pricing under Pressure

APPENDIXES
1. Documentation for the OR Courseware
2. Convexity
3. Classical Optimization Methods
4. Matrices and Matrix Operations
5. Tables

PARTIAL ANSWERS TO SELECTED PROBLEMS

INDEXES
Author Index
Subject Index

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