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The Fighter Problem: Optimal Allocation of a Discrete Commodity

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  • Jay Bartroff
  • Ester Samuel-Cahn
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    Abstract

    The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with n anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which follows a homogeneous Poisson process with known intensity. If j of the n missiles are spent at an encounter they destroy an enemy plane with probability a(j), where a(0)=0 and {a(j)} is a known, strictly increasing concave sequence, e.g., a(j)=1 - q j, 0

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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp558.pdf
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    Bibliographic Info

    Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp558.

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    Length: 11 pages
    Date of creation: Jul 2010
    Date of revision:
    Publication status: Published in Advances in Applied Probability, (2011), vol. 43, 121-130.
    Handle: RePEc:huj:dispap:dp558

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