A Decision Theoretic Approach to Lanchester Processes. I. The One Period Problem.

Abstract

This paper develops a decision theoretic framework for one period or 'fight-to-the-finish,' stochastic Lanchester models. Costs are assigned to the employment and destruction of friendly forces and rewards granted for 'victory.' Solutions for certain one period problems are obtained approximately by using the standard central limit theorem or by making use of certain martingale central limit theorems. Some examples are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA061055

Entities

People

  • Peter P. Perla

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Attrition
  • Casualties
  • Decision Theory
  • Distribution Functions
  • Markov Chains
  • Normal Distribution
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Random Walk
  • Standards
  • Statistical Decision Theory
  • Stochastic Processes
  • Theorems
  • United States
  • Warfare

Fields of Study

  • Mathematics

Readers

  • Irregular Warfare and Special Operations Cyberspace Operations against Adversarial Threats.
  • Mathematical Modeling and Probability Theory.