IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v37y2020i4p562-578.html
   My bibliography  Save this article

Steady state analysis of fluid queues driven by birth death processes with rational rates

Author

Listed:
  • Shruti Kapoor
  • Selvamuthu Dharmaraja

Abstract

Birth death processes with rational birth death rates have been studied by Maki (1976). This paper analyses the steady state behaviour of a fluid queue driven by a finite birth death process with rational birth and death rates. Two specific models are considered and closed form solutions are obtained for the equilibrium distribution of the buffer occupancy by finding the explicit eigenvalues of the underlying tridiagonal matrix. Numerical illustration is presented for different values of the size of the state space of the background process and for different values of the parameter involved.

Suggested Citation

  • Shruti Kapoor & Selvamuthu Dharmaraja, 2020. "Steady state analysis of fluid queues driven by birth death processes with rational rates," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(4), pages 562-578.
    • Handle: RePEc:ids:ijores:v:37:y:2020:i:4:p:562-578
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=105768
    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:37:y:2020:i:4:p:562-578. 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.