IDEAS home Printed from https://ideas.repec.org/p/cor/louvco/1997064.html
   My bibliography  Save this paper

A linear programming approach to stability, optimization and performance analysis for Markovian multiclass queueing networks

Author

Listed:
  • GLAZEBROOK, Kevin

    (School of Mathematics and Statistics, Newcastle University, United Kingdom)

  • NINO MORA, José

    (Center for Operations Research and Econometrics (CORE), Université catholique de Louvain (UCL), Louvain la Neuve, Belgium)

Abstract

Our object of study is a multiclass queueing network (MQNET) which consists of a collection of (connected) single server stations. Exogenous arrivals into the system form independent Poisson streams, service times are exponential and we have Markovian routing of customers between stations. Recent results concerning linear programming (LP) based approaches enable us to establish a simple and intuitive stability condition. This is of interest in its own right, but also enables us to progress with a study of optimal scheduling and performance analysis. Our methodology here is also based on LP. A primal-dual approach exploits the fact that the system satisfies (approximate) conservation laws to yield performance guarantees for a natural index-based scheduling heuristic. We are also able to analyse the performance of an arbitrary priority policy.

Suggested Citation

  • GLAZEBROOK, Kevin & NINO MORA, José, 1997. "A linear programming approach to stability, optimization and performance analysis for Markovian multiclass queueing networks," LIDAM Discussion Papers CORE 1997064, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1997064
    as

    Download full text from publisher

    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1997.html
    Download Restriction: no
    ---><---

    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:cor:louvco:1997064. 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.html .

    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.