IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v63y2012i11p1578-1588.html
   My bibliography  Save this article

Stochastic analysis of ordered median problems

Author

Listed:
  • Z Drezner

    (California State University-Fullerton, Fullerton, California)

  • S Nickel

    (Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany)

  • H-P Ziegler

    (Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany)

Abstract

Many location problems can be expressed as ordered median objective. In this paper, we investigate the ordered median objective when the demand points are generated in a circle. We find the mean and variance of the kth distance from the centre of the circle and the correlation matrix between all pairs of ordered distances. By applying these values, we calculate the mean and variance of any ordered median objective and the correlation coefficient between two ordered median objectives. The usefulness of the results is demonstrated by calculating various probabilities such as: What is the probability that the mean distance is greater than the truncated mean distance? What is the probability that the maximum distance is greater than 0.9? What is the probability that the range of distances is greater than 0.8? An analysis of an illustrative example also demonstrates the usefulness of the analysis.

Suggested Citation

  • Z Drezner & S Nickel & H-P Ziegler, 2012. "Stochastic analysis of ordered median problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1578-1588, November.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:11:p:1578-1588
    as

    Download full text from publisher

    File URL: http://www.palgrave-journals.com/jors/journal/v63/n11/pdf/jors20122a.pdf
    File Function: Link to full text PDF
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: http://www.palgrave-journals.com/jors/journal/v63/n11/full/jors20122a.html
    File Function: Link to full text HTML
    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.

    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:pal:jorsoc:v:63:y:2012:i:11:p:1578-1588. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.