IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v9y2016i3p279-301.html
   My bibliography  Save this article

Searching for a d-dimensional Brownian target with multiple sensors

Author

Listed:
  • Mohamed Abd Allah El-Hadidy

Abstract

We consider a search problem for a d-dimensional Brownian target that moves randomly on d-space. We have n-searchers moving with a linear paths in d-dimension to search for the target. Each of the searchers moves continuously along its line in both directions of the starting point (origin of its line). The purpose of this paper is to formulate a search model and find the condition under which the expected value of the first meeting time between one of the searchers and the target finite. Also, we show the existence of the optimal search plan that minimises the expected value of the first meeting time.

Suggested Citation

  • Mohamed Abd Allah El-Hadidy, 2016. "Searching for a d-dimensional Brownian target with multiple sensors," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 9(3), pages 279-301.
    • Handle: RePEc:ids:ijmore:v:9:y:2016:i:3:p:279-301
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=78822
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:ids:ijmore:v:9:y:2016:i:3:p:279-301. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=320 .

    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.