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A Helicopter Versus Submarine Search Game

Author

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  • John M. Danskin

    (University of Wisconsin, Madison, Wisconsin)

Abstract

How should helicopters use their dipping sonar so as to search for a submarine now submerged and attempting to escape, which had been sighted a short time before? By some approximations to reality and a shift in the point of view the problem is brought to a simple two-person zero-sum game in which one side juggles areas and the other probability distributions. The solutions are exhibited and proved to be solutions by direct application of the definition of optimal strategies for a game. The solution may be understood with very little mathematical knowledge. It turns out that the helicopters should, generally speaking, spiral inward in the relative speed circle.

Suggested Citation

  • John M. Danskin, 1968. "A Helicopter Versus Submarine Search Game," Operations Research, INFORMS, vol. 16(3), pages 509-517, June.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:3:p:509-517
    DOI: 10.1287/opre.16.3.509
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    Cited by:

    1. Ryusuke Hohzaki, 2007. "Discrete search allocation game with false contacts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 46-58, February.
    2. J F J Vermeulen & M van den Brink, 2005. "The search for an alerted moving target," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(5), pages 514-525, May.
    3. Hohzaki, Ryusuke, 2006. "Search allocation game," European Journal of Operational Research, Elsevier, vol. 172(1), pages 101-119, July.
    4. Ryusuke Hohzaki, 2009. "A cooperative game in search theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 264-278, April.
    5. Ryusuke Hohzaki, 2008. "A search game taking account of attributes of searching resources," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(1), pages 76-90, February.
    6. Köji Iida, 1989. "Optimal search plan minimizing the expected risk of the search for a target with conditionally deterministic motion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(5), pages 597-613, October.
    7. Hohzaki, Ryusuke & Iida, Koji, 2000. "A search game when a search path is given," European Journal of Operational Research, Elsevier, vol. 124(1), pages 114-124, July.

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