IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v46y2023i1p65-72.html
   My bibliography  Save this article

On the time-dependent solution of fluid models driven by an M / M /1 queue using a probabilistic approach

Author

Listed:
  • S. Dharmaraja
  • Shruti Kapoor

Abstract

More study has been performed on the steady state analysis of fluid models. However, the transient analysis of fluid models has not been extensively carried due to complexity of the problem. This is because the system of conservation laws for which no closed form solution is available. The motivation behind this paper is to provide a new methodology to find transient distribution of buffer content for fluid models. In this paper, the time-dependent solution of a fluid model driven by an M/M/1 queue is derived using a simple probability approach. Finally, numerical results are illustration for the proposed approach.

Suggested Citation

  • S. Dharmaraja & Shruti Kapoor, 2023. "On the time-dependent solution of fluid models driven by an M / M /1 queue using a probabilistic approach," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 46(1), pages 65-72.
    • Handle: RePEc:ids:ijores:v:46:y:2023:i:1:p:65-72
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=128580
    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:46:y:2023:i:1:p:65-72. 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.