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Stochastic Duels with Limited Ammunition Supply

Author

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  • C. J. Ancker

    (System Development Corp., Santa Monica, California)

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 separately.

Suggested Citation

  • C. J. Ancker, 1964. "Stochastic Duels with Limited Ammunition Supply," Operations Research, INFORMS, vol. 12(1), pages 38-50, February.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:1:p:38-50
    DOI: 10.1287/opre.12.1.38
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