IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v29y1983i10p1198-1208.html
   My bibliography  Save this article

A Fluid Flow Model of Networks of Queues

Author

Listed:
  • James S. Vandergraft

    (Automated Sciences Group, Inc., Silver Spring, Maryland)

Abstract

This paper describes a new technique for modeling flow through a network of queues. The advantages of this method over many discrete event simulations or queueing theory techniques include simplicity, low cost and portability. The paper describes the kinds of processes to which the technique can be applied, and the characteristics of the process that can be determined by the resulting model. An example of claims processing in a Social Security Administration's District Office is given. The basis for the technique is to model the information flow by a fluid flow, and then use standard engineering ideas to describe the fluid flow by a system of ordinary differential equations. The system of equations is solved by well-known numerical methods.

Suggested Citation

  • James S. Vandergraft, 1983. "A Fluid Flow Model of Networks of Queues," Management Science, INFORMS, vol. 29(10), pages 1198-1208, October.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:10:p:1198-1208
    DOI: 10.1287/mnsc.29.10.1198
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.29.10.1198
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.29.10.1198?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. Noa Zychlinski, 2023. "Applications of fluid models in service operations management," Queueing Systems: Theory and Applications, Springer, vol. 103(1), pages 161-185, February.
    2. Noa Zychlinski & Avishai Mandelbaum & Petar Momčilović, 2018. "Time-varying tandem queues with blocking: modeling, analysis, and operational insights via fluid models with reflection," Queueing Systems: Theory and Applications, Springer, vol. 89(1), pages 15-47, June.
    3. S. Göttlich & S. Kühn & J. A. Schwarz & R. Stolletz, 2016. "Approximations of time-dependent unreliable flow lines with finite buffers," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 83(3), pages 295-323, June.
    4. Gordon H. Lewis & Ashok Srinivasan & Eswaran Subrahmanian, 1998. "Staffing and Allocation of Workers in an Administrative Office," Management Science, INFORMS, vol. 44(4), pages 548-570, April.

    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:ormnsc:v:29:y:1983:i:10:p:1198-1208. 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.