Applications of Operations Research and Management Science for Military Decision Making (International Series in Operations Research & Management Science, 283)

Based on many years of applied research, modeling and educating future decision makers, the authors have selected the critical set of mathematical modeling skills for decision analysis to include in this book. The book focuses on the model formulation and modeling building skills, as well as the technology to support decision analysis. The authors cover many of the main techniques that have been incorporated into their three-course sequence in mathematical modeling for decision making in the Department of Defense Analysis at the Naval Postgraduate School. The primary objective of this book is illustrative in nature. It begins with an introduction to mathematical modeling and a process for formally thinking about difficult problems, illustrating many scenarios and illustrative examples. The book incorporates the necessary mathematical foundations for solving these problems with military applications and related military processes to reinforce the applied nature of the mathematical modeling process. Front Matter ....Pages i-xix Mathematical Modeling, Management Science, and Operations Research for Military Decision-Making (William P. Fox, Robert Burks)....Pages 1-15 Statistics and Probability in Military Decision-Making (William P. Fox, Robert Burks)....Pages 17-99 Modeling by Fitting Data (William P. Fox, Robert Burks)....Pages 101-135 Mathematical Programming: Linear, Integer, and Nonlinear Optimization in Military Decision-Making (William P. Fox, Robert Burks)....Pages 137-191 Introduction to Multi-attribute Military Decision-Making (William P. Fox, Robert Burks)....Pages 193-249 Game Theory (William P. Fox, Robert Burks)....Pages 251-329 Modeling Change with Dynamical Systems Models (William P. Fox, Robert Burks)....Pages 331-393 MONTE CARLO Simulation and AGENT-BASED Modeling (ABM) in Military Decision-Making (William P. Fox, Robert Burks)....Pages 395-453 Logistics Network Modeling (William P. Fox, Robert Burks)....Pages 455-483 Back Matter ....Pages 485-487