Stochastic Attrition Models of Lanchester Type

Abstract

The purpose of the research effort summarized in the paper is to give a careful, rigorous, and unified structure to a class of stochastic attrition models originated by F. W. Lanchester. For each of ten attrition processes are stated a concise but complete set of assumptions from which are rigorously derived the form of the resultant attrition process. These assumptions are 'micro' in viewpoint, concerning the behavior and interaction of individual combatants, but are as free from restrictive physical interpretation as possible. Each attrition process is a regular step Markov process and is characterized in terms of its jump function, transition kernel, and infinitesimal generator. Also included are several taxonomies of the processes presented.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1974
Accession Number
AD0780556

Entities

People

  • Alan F. Karr

Organizations

  • Institute for Defense Analyses

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Casualties
  • Computations
  • Detection
  • Differential Equations
  • Equations
  • Firing Rate
  • Hypotheses
  • Kill Probabilities
  • Markov Processes
  • Notation
  • Probability
  • Probability Distributions
  • Random Variables
  • Security
  • Standards
  • Stochastic Processes

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Military History / Militaries and War Studies
  • Theoretical Analysis.