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Stochastic duels involving reliability

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  • David E. Thompson

Abstract

The reliability of weapons in combat has been treated by Bhashyam in the context of a stochastic duel characterized by fixed ammunition supplies. negative exponentially distributed firing times and weapon lifetimes, and a fixed number of spare weapons for each duelist. The present paper takes a different approach by starting with the fundamental duel of Ancker and Williams, characterized by unlimited ammunition and by ordinary renewal firing times, and adding to it weapon lifetimes which can be functions of time or of round position in the firing sequence. Probabilities of winning and tieing are derived and it is shown that under certain conditions the weapon lifetimes are equivalent to random time and ammunition limits.

Suggested Citation

  • David E. Thompson, 1972. "Stochastic duels involving reliability," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 19(1), pages 145-148, March.
    • Handle: RePEc:wly:navlog:v:19:y:1972:i:1:p:145-148
    DOI: 10.1002/nav.3800190112
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