IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v43y1995i5p870-878.html
   My bibliography  Save this article

Parallel Service with Vacations

Author

Listed:
  • Sid Browne

    (Columbia University, New York, New York)

  • Offer Kella

    (Hebrew University, Jerusalem, Israel)

Abstract

We study a system with unlimited service potential where all service requests are served in parallel. The entire system itself becomes unavailable for a random period of time at the first instance that the system becomes idle. A queue builds up while the system is unavailable, and then all waiting customers enter the system simultaneously—each to its own processor—when the system becomes available again. All customers who arrive to find the system in operation proceed directly into service. The analysis of this system entails finding the distribution of the delayed busy period of an M/G/∞ queue. The steady-state distribution of the number of customers in the system is obtained for the special cases of exponential and deterministic service times. Among other applications, our results enable us to analyze and solve for the optimal N -policy for the systems with unlimited service potential. We also study a multiclass model of a polling system with exhaustive service.

Suggested Citation

  • Sid Browne & Offer Kella, 1995. "Parallel Service with Vacations," Operations Research, INFORMS, vol. 43(5), pages 870-878, October.
    • Handle: RePEc:inm:oropre:v:43:y:1995:i:5:p:870-878
    DOI: 10.1287/opre.43.5.870
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.43.5.870
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.43.5.870?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. Sem Borst & Onno Boxma, 2018. "Polling: past, present, and perspective," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(3), pages 335-369, October.

    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:43:y:1995:i:5:p:870-878. 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.