IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v28y1980i3-part-iip687-693.html
   My bibliography  Save this article

A Stochastic Allocation Problem

Author

Listed:
  • Haim Mendelson

    (Tel Aviv University, Tel Aviv, Israel)

  • Joseph S. Pliskin

    (Tel Aviv University, Tel Aviv, Israel)

  • Uri Yechiali

    (Tel Aviv University, Tel Aviv, Israel)

Abstract

A given quantity of a resource is to be allocated to several activities. The amount of the resource allocated to each activity is used to supply stochastic demands occurring randomly. The system operates as long as all the demands can be met. Whenever the demand of any one activity exceeds its allotment the system fails. The problem is to find the allocation which maximizes the expected time until failure. It is shown that when the available quantity of the resource is large, the optimal allocation is proportionate to the expected demand rate of each activity. An application to a multi-installation inventory problem is presented.

Suggested Citation

  • Haim Mendelson & Joseph S. Pliskin & Uri Yechiali, 1980. "A Stochastic Allocation Problem," Operations Research, INFORMS, vol. 28(3-part-ii), pages 687-693, June.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:3-part-ii:p:687-693
    DOI: 10.1287/opre.28.3.687
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.28.3.687
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.28.3.687?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. Hanan Luss, 1999. "On Equitable Resource Allocation Problems: A Lexicographic Minimax Approach," Operations Research, INFORMS, vol. 47(3), pages 361-378, June.

    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:28:y:1980:i:3-part-ii:p:687-693. 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.