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Expected Target Damage for Pattern Firing

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  • Charles N. Bressel

    (Weizmann Institute of Science, Rehovot, Israel)

Abstract

This paper evaluates analytically the damage function for a rectangular target from a firing pattern of n rounds by extending to a pattern distribution the method of Grubbs [ Opns. Res. 16, 1021–1026 (1968)] for a salvo of rounds. The delivery function for the pattern center and the dispersion of each round are taken to be noncircular normal, and the damage function law for each round is defined to be a noncircular exponential square falloff. The results are computationally somewhat more complex than for a salvo, since one must keep track of the coordinates of each round in computing the average chance that a round of the pattern (i.e., a pattern element) will damage a given target element. A series expansion for the fractional target damage by a pattern is obtained.

Suggested Citation

  • Charles N. Bressel, 1971. "Expected Target Damage for Pattern Firing," Operations Research, INFORMS, vol. 19(3), pages 655-667, June.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:3:p:655-667
    DOI: 10.1287/opre.19.3.655
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    Cited by:

    1. Israel David & Amir Alalouf, 1999. "On optimal aiming to hit a linear target," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(3), pages 323-333, April.

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