STOCHASTIC DUELS OF LIMITED TIME-DURATION,

Abstract

This paper continues the development of the theory of stochastic duels to include the case where there is a time limitation on the duration of the duel. An example of this situation is fighter-bomber combat in which the fighter has a very limited fuel supply. In this duel, two contestants (with unlimited ammunition supplies) fire at each other with constant kill probabilities. The time between rounds fired is either (1) a continuous random variable or (2) constant. The duel proceeds until one or both of the contestants are killed or until the time limit is exceeded. The time limit is either (1) a continuous random variable or (2) constant. General solutions are derived for these various situations and specific examples given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 30, 1964
Accession Number
AD0436529

Entities

People

  • C. J. Ancker Jr.

Organizations

  • System Development Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Ammunition
  • Fighter Bombers
  • Kill Probabilities
  • Mathematics
  • Probability
  • Probability Distributions
  • Random Variables
  • Stochastic Processes

Fields of Study

  • Mathematics

Readers

  • Aviation Science / Aeronautics.
  • Marksmanship and Weaponry.
  • Mathematical Modeling and Probability Theory.