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Explicit modeling of detection within a stochastic duel

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  • K. Wand
  • S. Humble
  • R. J. T. Wilson

Abstract

Many mathematical models have been formulated to describe combat between two weapon systems. However, until recently duel models did not explicitly represent target detection within a duel, leading to the necessity for the development of new model for each tactical situation. An earlier article by two of the authors described a duel between weapons with constant firing times and explicit modeling of detection. This article enhances the study of this form of duel between weapons by introducing a variable parameter for firing times. This enhancement removes the discontinuities evident during parametric analysis of the earlier model and hence provides a more coherent model of this combat situation. © 1993 John Wiley & Sons, Inc.

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  • K. Wand & S. Humble & R. J. T. Wilson, 1993. "Explicit modeling of detection within a stochastic duel," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 431-450, June.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:4:p:431-450
    DOI: 10.1002/1520-6750(199306)40:43.0.CO;2-S
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    References listed on IDEAS

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    1. C. J. Ancker & Trevor Williams, 1965. "Some Discrete Processes in the Theory of Stochastic Duels," Operations Research, INFORMS, vol. 13(2), pages 202-216, April.
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    Cited by:

    1. Chang S. Sung & Young H. Sohn, 1998. "Combat modeling of remotely targeted vehicles and a battery against a moving target," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(7), pages 645-667, October.
    2. Ken R. McNaught, 2002. "Markovian models of three‐on‐one combat involving a hidden defender," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(7), pages 627-646, October.

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