IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v51y2024i3p406-422.html
   My bibliography  Save this article

On the number of occupied resources in a system with resource sharing between service-oriented customers

Author

Listed:
  • T.B. Ravaliminoarimalalason
  • M. Rakotomalala
  • F. Randimbindrainibe

Abstract

We present analytical and generalised expressions of the numbers of occupied resources in a system providing several services to its customers. This system can be assimilated to a multi-service queue. We considered that the required numbers of resources for each service are deterministic, and then random variables number of resources is studied in second part. Analysis carried out on the resource occupations have made possible the dimensioning of the total number of necessary resources that must be deployed on the queue server. They are to serve the customers up to a certain quality of service in terms of the probability of congestion. Reported to a single-service case, we found from the analytical expressions established in this work the probability of congestion in the Fry-Molina traffic model. The results are illustrated with numerical case studies.

Suggested Citation

  • T.B. Ravaliminoarimalalason & M. Rakotomalala & F. Randimbindrainibe, 2024. "On the number of occupied resources in a system with resource sharing between service-oriented customers," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 51(3), pages 406-422.
  • Handle: RePEc:ids:ijores:v:51:y:2024:i:3:p:406-422
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=142377
    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:51:y:2024:i:3:p:406-422. 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.