The Two-On-One Stochastic Duel

Abstract

The one-on-one stochastic duel is extended to the general two-on-one duel for the first time. The state equations, win probabilities, means value, and variance functions are derived. The case where one side has Erlang (2) firing times and the other is negative exponential is compared to the corresponding Stochastic Lanchester and Lanchester models to demonstrate their non-equivalence.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA143679

Entities

People

  • A. V. Gafarian
  • C. J. Ancker Jr.

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • California
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of State
  • Industrial Engineering
  • Lanchester Equations
  • Mathematics
  • Probability
  • Probability Density Functions
  • Random Variables
  • Systems Analysis
  • Systems Engineering

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Missile Defense Systems.
  • Statistical inference.