IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v37y1991i8p1015-1029.html
   My bibliography  Save this article

An Analytic Congestion Model for Closed Production Systems with IFR Processing Times

Author

Listed:
  • Mark L. Spearman

    (Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, Illinois 60208)

Abstract

We present an analytic model relating the mean cycle time or throughput as a function of the number of jobs in a closed production system composed of a tandem network of queues having exponential and/or IFR processing times. This model exhibits macroscopic behavior that is predicted by results from queueing theory and involves three meaningful parameters: the bottleneck rate and the "raw process" time that can be determined from first moment data; and a dimensionless congestion coefficient that is typically obtained from a single WIP/average cycle time observation (e.g., simulation). The derivation of the model is based on observations of the behavior of the relation between mean cycle time and WIP. This "engineering" approach is different from a purely "probabilistic" one in that we do not consider the distribution of processing times at individual station. We compare the accuracy of the model in predicting mean cycle times to other techniques such as mean value analysis and simulation.

Suggested Citation

  • Mark L. Spearman, 1991. "An Analytic Congestion Model for Closed Production Systems with IFR Processing Times," Management Science, INFORMS, vol. 37(8), pages 1015-1029, August.
    • Handle: RePEc:inm:ormnsc:v:37:y:1991:i:8:p:1015-1029
    DOI: 10.1287/mnsc.37.8.1015
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.37.8.1015
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.37.8.1015?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. Tardif, Valerie & Maaseidvaag, Lars, 2001. "An adaptive approach to controlling kanban systems," European Journal of Operational Research, Elsevier, vol. 132(2), pages 411-424, July.
    2. Subba Rao, S. & Gunasekaran, A. & Goyal, S. K. & Martikainen, T., 1998. "Waiting line model applications in manufacturing," International Journal of Production Economics, Elsevier, vol. 54(1), pages 1-28, January.
    3. Kefeli, Ali & Uzsoy, Reha & Fathi, Yahya & Kay, Michael, 2011. "Using a mathematical programming model to examine the marginal price of capacitated resources," International Journal of Production Economics, Elsevier, vol. 131(1), pages 383-391, May.
    4. Jakob Asmundsson & Ronald L. Rardin & Can Hulusi Turkseven & Reha Uzsoy, 2009. "Production planning with resources subject to congestion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 142-157, March.
    5. 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.
    6. Wallace J. Hopp & Mark L. Spearman, 2004. "To Pull or Not to Pull: What Is the Question?," Manufacturing & Service Operations Management, INFORMS, vol. 6(2), pages 133-148, August.

    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:37:y:1991:i:8:p:1015-1029. 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.