1) Introduction2) Overview of the Operations Research Modeling Approach3) Introduction to Linear Programming4) Solving Linear Programming Problems: The Simplex Method5) The Theory of the Simplex Method6) Duality Theory7) Linear Programming under Uncertainty8) Other Algorithms for Linear Programming9) The Transportation and Assignment Problems10) Network Optimization Models11) Dynamic Programming12) Integer Programming13) Nonlinear Programming14) Metaheuristics15) Game Theory16) Decision Analysis17) Queueing Theory18) Inventory Theory19) Markov Decision Processes20) SimulationAppendix 1 - Documentation for the OR CoursewareAppendix 2 - ConvexityAppendix 3 - Classical Optimization MethodsAppendix 4 - Matrices and Matrix OperationsAppendix 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. Hillier's 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.