STOCHASTIC DUELS WITH LIMITED AMMUNITION SUPPLY

Abstract

In a previous paper the ground work was laid for a new theoretical model of combat called the stochastic duel. The principal elements of the model were fixed kill probabilities on each round fired, a random time between rounds fired and unlimited ammunition supply. This paper extends the solution to those more realistic cases of limited ammunition supply. The general solution (as a quadrature) is obtained and it is applied to several specific examples. The special case of finite, fixed ammunition supply is treated in some detail.

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Document Details

Document Type
Technical Report
Publication Date
Apr 23, 1963
Accession Number
AD0404104

Entities

People

  • C. J. Ancker Jr.

Organizations

  • System Development Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Ammunition
  • California
  • Corporations
  • Data Science
  • Delta Functions
  • Distribution Functions
  • Equations
  • Government Procurement
  • Integrals
  • Kill Probabilities
  • Mathematics
  • Operations Research
  • Probability
  • Probability Density Functions
  • Probability Distributions
  • Random Variables
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Marksmanship and Weaponry.
  • Operations Research
  • Systems Analysis and Design