Introduction to Operations Research

1) Introduction

2) Overview of How Operations Research and Analytics Professionals Analyze Problems

3) Introduction to Linear Programming

4) Solving Linear Programming Problems: The Simplex Method

5) The Theory of the Simplex Method

6) Duality Theory

7) Linear Programming under Uncertainty

8) Other Algorithms for Linear Programming

9) The Transportation and Assignment Problems

10) Network Optimization Models

11) Dynamic Programming

12) Integer Programming

13) Nonlinear Programming

14) Metaheuristics

15) Game Theory

16) Decision Analysis

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

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.