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Markovian models of three‐on‐one combat involving a hidden defender

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  • Ken R. McNaught

Abstract

In this paper, Markovian models of three‐on‐one stochastic firefights between ground‐based weapon systems are developed. These models address a common scenario of interest to the military, but one which has been much neglected in analytic combat models, that of combat between a hidden defender and an exposed attacking force. Each combatant must detect an opponent before commencing their firing cycle, a task which is considerably more difficult for the attacker. In the models developed here, the defender detects the exposed attacking group after an exponentially distributed time interval, while each attacker has a fixed probability of detecting the defender via the flash signature produced after each shot fired by him. The utility of the approach is demonstrated by investigating what impact the introduction of a coordinated gun‐laying system for the attacking force might have, a system made possible by battlefield digitization. The method used here allows models to be developed incrementally. This and other advantages of the Markovian approach are discussed. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 627–646, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10041

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  • 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.
    • Handle: RePEc:wly:navres:v:49:y:2002:i:7:p:627-646
    DOI: 10.1002/nav.10041
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