Introduction to Operations Research

Professor emeritus of operations research at Stanford University. Dr. Hillier is especially known for his classic, award-winning text, Introduction to Operations Research, co-authored with the late Gerald J. Lieberman, which has been translated into well over a dozen languages and is currently in its 8th edition. The 6th edition won honorable mention for the 1995 Lanchester Prize (best English-language publication of any kind in the field) and Dr. Hillier also was awarded the 2004 INFORMS Expository Writing Award for the 8th edition. His other books include The Evaluation of Risky Interrelated Investments, Queueing Tables and Graphs, Introduction to Stochastic Models in Operations Research, and Introduction to Mathematical Programming. He received his BS in industrial engineering and doctorate specializing in operations research and management science from Stanford University. The winner of many awards in high school and college for writing, mathematics, debate, and music, he ranked first in his undergraduate engineering class and was awarded three national fellowships (National Science Foundation, Tau Beta Pi, and Danforth) for graduate study. Dr. Hilliers research has extended into a variety of areas, including integer programming, queueing theory and its application, statistical quality control, and production and operations management. He also has won a major prize for research in capital budgeting. 1995 No primary address

1 Introduction 2 Overview of the Operations Research Modeling Approach

3 Introduction to Linear Programming

4 Solving Linear Programming Problems: The Simplex Method

5 The Theory of the Simplex Method

6 Duality Theory and Sensitivity Analysis

7 Other Algorithms for Linear Programming

8 The Transportation and Assignment Problems

9 Network Optimization Models

10 Dynamic Programming

11 Integer Programming

12 Nonlinear Programming

13 Metaheuristics

14 Game Theory

15 Decision Analysis

16 Markov Chains

17 Queueing Theory

18 Inventory Theory

19 Markov Decision Processes

20 Simulation

Appendix 1 Documentation for the OR Courseware

Appendix 2 Convexity

Appendix 3 Classical Optimization Methods

Appendix 4 Matrices and Matrix Operations

Appendix 5 Table for a Normal Distribution

Supplements on the CD-ROM and the Online Learning Center

Additional Cases

Supplement to Appendix 3.1 More about LINGO

Supplement to Chapter 7 Linear Goal Programming and Its Solution Procedures

Supplement to Chapter 8 A Case Study with Many Transportation Problems

Supplement 1 to Chapter 18 Derivation of the Optimal Policy for the Stochastic Single-Period Model for Perishable Products

Supplement 2 to Chapter 18 Stochastic Periodic-Review Models

Supplement 1 to Chapter 20 Variance-Reducing Techniques

Supplement 2 to Chapter 20 Regenerative Method of Statistical Analysis

21 The Art of Modeling with Spreadsheets

22 Project Management with PERT/CPM

23 Additional Special Types of Linear Programming Problems

24 Probability Theory

25 Reliability

26 The Application of Queueing Theory

27 Forecasting

28 Examples of Performing Simulations on Spreadsheets with Crystal Ball

Appendix 6 Simultaneous Linear Equations