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Survival distributions in crossing fields containing clusters of mines with possible detection and uncertain activation or kill

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  • S. Zacks

Abstract

The present paper presents an algorithm for the exact determination of survival distributions in crossing mine fields. The model under consideration considers clusters of mines, scattered at random in the field around specified aim points. The scatter distributions of the various clusters are assumed to be known The encounter process allows for a possible detection and destruction of the mines, for inactivation of the mines and for the possibility that an activated mine will not destroy the object. Recursive formulae for the determination of the survival probabilities of each object (tank) in a column of n crossing at the same path are given. The distribution of the number of survivors out of n objects in a column is also determined. Numerical examples are given.

Suggested Citation

  • S. Zacks, 1979. "Survival distributions in crossing fields containing clusters of mines with possible detection and uncertain activation or kill," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 26(3), pages 423-435, September.
    • Handle: RePEc:wly:navlog:v:26:y:1979:i:3:p:423-435
    DOI: 10.1002/nav.3800260306
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