IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v16y1968i3p509-517.html
   My bibliography  Save this article

A Helicopter Versus Submarine Search Game

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.16.3.509
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.16.3.509?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. Ryusuke Hohzaki, 2007. "Discrete search allocation game with false contacts," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 46-58, February.
    5. 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.
    6. Hohzaki, Ryusuke, 2006. "Search allocation game," European Journal of Operational Research, Elsevier, vol. 172(1), pages 101-119, July.
    7. Ryusuke Hohzaki, 2009. "A cooperative game in search theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(3), pages 264-278, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:16:y:1968:i:3:p:509-517. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.