Stochastic Duels with Limited Ammunition Supply

C. J. Ancker
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C. J. Ancker: System Development Corp., Santa Monica, California

Operations Research, 1964, vol. 12, issue 1, 38-50

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.

Date: 1964
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