IDEAS home Printed from https://ideas.repec.org/a/hin/jnijsa/607506.html
   My bibliography  Save this article

Transient analysis of a fluid queue driven by a birth and death process suggested by a chain sequence

Author

Listed:
  • P. R. Parthasarathy
  • B. Sericola
  • K. V. Vijayashree

Abstract

We analyse the transient behaviour of a fluid queue driven by a birth and death process (BDP) whose birth and death rates are suggested by a chain sequence. For the BDP suggested by a chain sequence, the stationary probabilities do not exist and hence the stationary buffer content distribution for fluid queues driven by such BDP does not exist. However, their transient distribution is obtained in a simple closed form by two different approaches: the first is the continued fraction approach and the second is an approach in terms of recurrence relation by an analysis similar to that of Sericola (1998). The probability for the buffer content to be empty at an arbitrary time is also studied. The variations in this performance measure are revealed in the form of graphs. Numerical illustrations are included.

Suggested Citation

  • P. R. Parthasarathy & B. Sericola & K. V. Vijayashree, 2005. "Transient analysis of a fluid queue driven by a birth and death process suggested by a chain sequence," International Journal of Stochastic Analysis, Hindawi, vol. 2005, pages 1-16, January.
    • Handle: RePEc:hin:jnijsa:607506
    DOI: 10.1155/JAMSA.2005.143
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJSA/2005/607506.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJSA/2005/607506.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/JAMSA.2005.143?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
    ---><---

    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:hin:jnijsa:607506. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.