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Applications of Operations Research and Management Science for Military Decision Making

  • Textbook
  • © 2019

Overview

Authors:
  1. William P. Fox

    1. Department of Mathematics, College of William and Mary, Williamsburg, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Robert Burks

    1. Department of Defense Analysis, Naval Postgraduate School, Monterey, USA

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  • Book is based on the authors’ experiences teaching the material covered at the Naval Postgraduate School
  • Each chapter includes case studies and end-of-chapter problems
  • Fox is one of the most prominent scholars in the field

Part of the book series: International Series in Operations Research & Management Science (ISOR, volume 283)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xix
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  2. Mathematical Modeling, Management Science, and Operations Research for Military Decision-Making

    • William P. Fox, Robert Burks
    Pages 1-15

  3. Statistics and Probability in Military Decision-Making

    • William P. Fox, Robert Burks
    Pages 17-99

  4. Modeling by Fitting Data

    • William P. Fox, Robert Burks
    Pages 101-135

  5. Mathematical Programming: Linear, Integer, and Nonlinear Optimization in Military Decision-Making

    • William P. Fox, Robert Burks
    Pages 137-191

  6. Introduction to Multi-attribute Military Decision-Making

    • William P. Fox, Robert Burks
    Pages 193-249

  7. Game Theory

    • William P. Fox, Robert Burks
    Pages 251-329

  8. Modeling Change with Dynamical Systems Models

    • William P. Fox, Robert Burks
    Pages 331-393

  9. MONTE CARLO Simulation and AGENT-BASED Modeling (ABM) in Military Decision-Making

    • William P. Fox, Robert Burks
    Pages 395-453

  10. Logistics Network Modeling

    • William P. Fox, Robert Burks
    Pages 455-483

  11. Back Matter

    Pages 485-487
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Keywords

About this book

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 themathematical modeling process.

Authors and Affiliations

  • Department of Mathematics, College of William and Mary, Williamsburg, USA

    William P. Fox

  • Department of Defense Analysis, Naval Postgraduate School, Monterey, USA

    Robert Burks

About the authors

William P. Fox is currently a professor in the department of mathematics at the College of William and Mary and is also Professor Emeritus in the Department of Defense Analysis at the Naval Postgraduate School in Monterey, CA. He earned his Ph.D. in Industrial Engineering/Operations Research at Clemson University, and his M.S. in Operations Research and Systems Analysis at the Naval Postgraduate School. He is responsible for coordination of a three-course sequence in Mathematical Modeling for Decision Making. His research interests include mathematical education; STEM education; quantitative decision theory; multi-attribute decision making and sensitivity analysis; and applications of game theory. He is the author of many textbooks and journal articles.

Robert Burks is an Associate Professor and Director, Wargaming Activity Hub in the Department of Defense Analysis, Naval Postgraduate School, Monterey, CA. He earned his Ph.D. in Operations Research at the Air Force Institute of Technology and his M.S. in Operations Research at the Florida Institute of Technology. He currently teaches courses in Modeling for Military Decision Making, Irregular Warfare Modeling, and Wargaming. His research interests include Agent-Based Modeling, Information Operations modeling, Wargaming, and Combat Modeling.

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