IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v37y2020i2p245-258.html
   My bibliography  Save this article

On the existence of a finite linear search plan with random distances and velocities for a one-dimensional Brownian target

Author

Listed:
  • Mohamed Abd Allah El-Hadidy

Abstract

In this paper, we consider a linear search model that takes into consideration the velocities and the distances which the searcher do them are independent random variables with known probability density functions (PDFs). The searcher moves continuously along the line in both directions of the starting point (origin of line). We use the Fourier-Laplace representation to give an analytical expression for the density of the random distance in the model. Also, we get the conditions that make the expected value of the first meeting time between the searcher and the target is finite.

Suggested Citation

  • Mohamed Abd Allah El-Hadidy, 2020. "On the existence of a finite linear search plan with random distances and velocities for a one-dimensional Brownian target," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(2), pages 245-258.
    • Handle: RePEc:ids:ijores:v:37:y:2020:i:2:p:245-258
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=105369
    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:ijores:v:37:y:2020:i:2:p:245-258. 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=170 .

    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.