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Attrition Rates for Weapons with Markov-Dependent Fire

Author

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  • Stephen R. Kimbleton

    (The University of Michigan, Ann Arbor, Michigan)

Abstract

A weapon is said to have a Markov-dependent firing policy if the result of the current round is conditioned on the outcome of the preceding round. For such a weapon we obtain the distribution of the number of rounds required to defeat a target. From this result we derive the distribution of the time required to destroy a target and the expected value of the Lanchester attrition-rate coefficient.

Suggested Citation

  • Stephen R. Kimbleton, 1971. "Attrition Rates for Weapons with Markov-Dependent Fire," Operations Research, INFORMS, vol. 19(3), pages 698-706, June.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:3:p:698-706
    DOI: 10.1287/opre.19.3.698
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    Cited by:

    1. Kendall D. Moll & Gregory M. Luebbert, 1980. "Arms Race and Military Expenditure Models," Journal of Conflict Resolution, Peace Science Society (International), vol. 24(1), pages 153-185, March.

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