IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v19y2021i2p180-203.html
   My bibliography  Save this article

Existence of optimal N -slinky-turn-spiral search paths for finding N -dimensional Brownian target

Author

Listed:
  • Mohamed Abd Allah El-Hadidy

Abstract

This paper presents more effective search technique for finding the N-dimensional Brownian target in N-dimensional space by using N-searchers. Each searcher moves along slinky-turn-spiral curve and starts its motion from the origin. An adaptive geometric features such as curvature and torsion of each searching path to meet the target is proposed. Rather than showing the existence of finite and optimal search paths, we find these optimal search paths which minimise the expected value of the first meeting time between one of the searchers and the target based on its geometric characteristics and features. A simulation study has been discussed to demonstrate the applicability of this technique.

Suggested Citation

  • Mohamed Abd Allah El-Hadidy, 2021. "Existence of optimal N -slinky-turn-spiral search paths for finding N -dimensional Brownian target," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 19(2), pages 180-203.
    • Handle: RePEc:ids:ijmore:v:19:y:2021:i:2:p:180-203
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=116313
    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:19:y:2021:i:2:p:180-203. 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.