IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v41y1993i4p743-758.html
   My bibliography  Save this article

Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network

Author

Listed:
  • Philippe B. Chevalier

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

  • Lawrence M. Wein

    (Massachusetts Institute of Technology, Cambridge, Massachusetts)

Abstract

We consider the problem of finding an optimal dynamic priority sequencing policy to maximize the mean throughput rate in a multistation, multiclass closed queueing network with general service time distributions and a general routing structure. Under balanced heavy loading conditions, this scheduling problem can be approximated by a control problem involving Brownian motion. Although a unique, closed-form solution to the Brownian control problem is not derived, an analysis of the problem leads to an effective static sequencing policy, and to an approximate means of comparing the relative performance of arbitrary static policies. Several examples are provided that illustrate the effectiveness of our procedure.

Suggested Citation

  • Philippe B. Chevalier & Lawrence M. Wein, 1993. "Scheduling Networks of Queues: Heavy Traffic Analysis of a Multistation Closed Network," Operations Research, INFORMS, vol. 41(4), pages 743-758, August.
    • Handle: RePEc:inm:oropre:v:41:y:1993:i:4:p:743-758
    DOI: 10.1287/opre.41.4.743
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.41.4.743
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.41.4.743?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
    ---><---

    Citations

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


    Cited by:

    1. Gregory Dobson & Tolga Tezcan & Vera Tilson, 2013. "Optimal Workflow Decisions for Investigators in Systems with Interruptions," Management Science, INFORMS, vol. 59(5), pages 1125-1141, May.
    2. Martin I. Reiman & Lawrence M. Wein, 1998. "Dynamic Scheduling of a Two-Class Queue with Setups," Operations Research, INFORMS, vol. 46(4), pages 532-547, August.
    3. Melanie Rubino & Barış Ata, 2009. "Dynamic Control of a Make-to-Order, Parallel-Server System with Cancellations," Operations Research, INFORMS, vol. 57(1), pages 94-108, February.
    4. Wendell G. Gilland, 2001. "Effective Sequencing Rules for Closed Manufacturing Networks," Operations Research, INFORMS, vol. 49(5), pages 759-770, October.
    5. Narahari, Y. & Khan, L. M., 1998. "Asymptotic loss of priority scheduling policies in closed re-entrant lines: A computational study," European Journal of Operational Research, Elsevier, vol. 110(3), pages 585-596, November.
    6. Barış Ata, 2006. "Dynamic Control of a Multiclass Queue with Thin Arrival Streams," Operations Research, INFORMS, vol. 54(5), pages 876-892, October.
    7. Li, Hui & Liu, Liming, 2006. "Production control in a two-stage system," European Journal of Operational Research, Elsevier, vol. 174(2), pages 887-904, October.

    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:inm:oropre:v:41:y:1993:i:4:p:743-758. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.