On Simulations of the Stochastic, Homogeneous, Lanchester Linear-Law Attrition Process

Abstract

Results of computerized Monte Carlo simulations of a stochastic, homogeneous Lanchester-linear attrition process are presented. Properties investigated include expected numbers of survivors as functions of time, iterated calculations of expected numbers of survivors, probabilities of forcing the opposing side below a certain fraction of initial strength before being so reduced, and relations of the stochastic model to the deterministic Lanchester- linear model.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA015656

Entities

People

  • Alan F. Karr

Organizations

  • Institute for Defense Analyses

Tags

DTIC Thesaurus Topics

  • Attrition
  • Combat Simulations
  • Detection
  • Differential Equations
  • Equations
  • Markov Chains
  • Markov Processes
  • Mathematical Models
  • Models
  • Monte Carlo Method
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Random Variables
  • Simulations
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Psychological Intervention/Treatment for Stress, Anxiety, PTSD, and Related Emotional and Cognitive Health Symptoms.
  • Quantum Chemistry