William P. Fox

William P. FoxDr. William P. Fox is a professor in the Department of Defense Analysis at the Naval Postgraduate School and currently teaches a three course sequence in mathematical modeling for decision making. He received his BS degree from the United States Military Academy at West Point, New York, his MS in operations research at the Naval Postgraduate School, and his Ph.D. at Clemson University. He has taught at the United States Military Academy and at Francis Marion University where he was the chair of mathematics for eight years. He has many publications and scholarly activities including sixteen books, twenty-one chapters of books & technical reports, one hundred and fifty journal articles, and about one hundred and fifty conference presentations, and workshops. He has directed several international mathematical modeling contests through COMAP: the HiMCM and the MCM. His interests include applied mathematics, optimization (linear and nonlinear), mathematical modeling, statistical models, model for decision making in business, industry, medical and government, and computer simulations. He is president-emeritus of the NPS faculty council. He is currently the current Past- President of the Military Application Society of INFORMS.

Publications

Constrained Nonlinear Optimization in Information Science
Constrained Nonlinear Optimization in Information Science
William P. Fox. © 2019. 17 pages.
This chapter provides an overview of constrained optimization methods. Background, theory, and examples are provided. Coverage includes Lagrange multipliers for equality...
Constrained Nonlinear Optimization in Information Science
Constrained Nonlinear Optimization in Information Science
William P. Fox. © 2018. 13 pages.
This chapter provides an overview of constrained optimization methods. Background, theory, and examples are provided. Coverage includes Lagrange multipliers for equality...
Perfect Partners of Mathematical Modeling with Technology in Risk Assessment
Perfect Partners of Mathematical Modeling with Technology in Risk Assessment
William P. Fox. © 2016. 30 pages.
This chapter discusses the use of mathematical modeling with technology in risk assessment in the broad area of operations research. The authors provide modeling as a process and...
Multi-Attribute Decision Making in Risk Analysis
Multi-Attribute Decision Making in Risk Analysis
William P. Fox. © 2016. 45 pages.
Multi-Attribute Decision Making (MADM) is commonly used when we are comparing more than two courses of actions or alternatives based upon many selected criteria. This chapter...
International Journal of Business Analytics (IJBAN)
International Journal of Business Analytics (IJBAN)
John Wang. Est. 2014.
The International Journal of Business Analytics (IJBAN) is an indispensable resource for practitioners and academics that work in Business Analytics and related fields. Business...
Applied Game Theory in Business Analytics
Applied Game Theory in Business Analytics
William P. Fox. © 2014. 12 pages.
In this chapter we introduce the concept of game theory and its use as a decision making tool in a competitive situation among players. We define and describe some different...
Constrained Nonlinear Optimization in Business
Constrained Nonlinear Optimization in Business
William P. Fox. © 2014. 13 pages.
We present both classical analytical, numerical, and heuristic techniques to solve constrained optimization problems relating to business, industry, and government. We briefly...
TOPSIS in Business Analytics
TOPSIS in Business Analytics
William P. Fox. © 2014. 11 pages.
Unconstrained Optimization in Business Analytics
Unconstrained Optimization in Business Analytics
William P. Fox. © 2014. 13 pages.
Modeling and Methodology for Incorporating Existing Technologies to Produce Higher Probabilities of Detecting Suicide Bombers
Modeling and Methodology for Incorporating Existing Technologies to Produce Higher Probabilities of Detecting Suicide Bombers
William P. Fox, John Binstock, Mike Minutas. © 2013. 18 pages.
Among the many weapons currently used by terrorist organizations against public welfare and coalition forces, human-born Improvised Explosive Devices (IEDs) present a significant...
Discrete Combat Models: Investigating the Solutions to Discrete Forms of Lanchester’s Combat Models
Discrete Combat Models: Investigating the Solutions to Discrete Forms of Lanchester’s Combat Models
William P. Fox. © 2012. 17 pages.
Lanchester’s equations and their solutions, as continuous differential equations, have been studied for years. This article introduces a new approach with the use of the discrete...
International Journal of Operations Research and Information Systems (IJORIS)
International Journal of Operations Research and Information Systems (IJORIS)
John Wang. Est. 2010.
The International Journal of Operations Research and Information Systems (IJORIS) examines current, state-of-the art advances in the interactions, linkages, applications, and...
Discrete Combat Models: Investigating the Solutions to Discrete Forms of Lanchester's Combat Models
Discrete Combat Models: Investigating the Solutions to Discrete Forms of Lanchester's Combat Models
William P. Fox. © 2010. 19 pages.
Lanchester’s equations and their solutions, as continuous differential equations, have been studied for years. This article introduces a new approach with the use of the discrete...