IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v10y1980i2p209-219.html
   My bibliography  Save this article

Interconnections of Markov chains and quasi-reversible queuing networks

Author

Listed:
  • Walrand, Jean
  • Varaiya, Pravin

Abstract

A quasi-reversible queue can be associated with certain type of transactions of a Markov chain. It is shown that if Markov chains are coupled in a certain way, then to the resulting chain be associated a queuing network which is itself quasi-reversible and the stationary distribution of the chain takes the product form. The product form for mixed networks is derived from the result for open networks.

Suggested Citation

  • Walrand, Jean & Varaiya, Pravin, 1980. "Interconnections of Markov chains and quasi-reversible queuing networks," Stochastic Processes and their Applications, Elsevier, vol. 10(2), pages 209-219, September.
    • Handle: RePEc:eee:spapps:v:10:y:1980:i:2:p:209-219
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(80)90022-8
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Papadopoulos, H. T. & Heavey, C., 1996. "Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines," European Journal of Operational Research, Elsevier, vol. 92(1), pages 1-27, July.
    2. Boucherie, R.J. & Dijk, N.M. van, 1991. "A generalization of Norton's theorem," Serie Research Memoranda 0061, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    3. Boucherie, R.J., 1990. "Aggregation of stochastic processes," Serie Research Memoranda 0077, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    4. Xiuli Chao & Masakiyo Miyazawa, 1998. "On Quasi-Reversibility and Local Balance: An Alternative Derivation of the Product-Form Results," Operations Research, INFORMS, vol. 46(6), pages 927-933, December.

    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:eee:spapps:v:10:y:1980:i:2:p:209-219. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.