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Suboptimal decision rule for attacking targets of opportunity

Takasi Kisi

Naval Research Logistics Quarterly, 1976, vol. 23, issue 3, 525-533

Abstract: A player having only a definite number of weapons is hunting targets. His total hunting time is also limited. Targets of opportunity with various values arrive at random, and as soon as a target arrives the player observes the target value and decides whether or not to shoot it down. The issue is what the decision rule is which guarantees him a maximum expected gain during the hunting time. Poisson arrival of the targets, uniform distribution of the target value, and the shoot‐look‐shoot scheme qre assumed. A decision rule is derived which is not optimal but has a very simple form and gives almost as good value as the optimal decision rule does.

Date: 1976
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https://doi.org/10.1002/nav.3800230313

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