IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v24y1976i3p400-419.html
   My bibliography  Save this article

Dynamic Modeling and Control of Congestion-Prone Systems

Author

Listed:
  • Carson E. Agnew

    (Mathematica, Inc., Princeton, New Jersey)

Abstract

This paper constructs a dynamic model of a general congestion-prone system using a nonlinear differential equation to represent the relation between throughput and the system load. Although the model is not stochastic, it can give a good approximation of the dynamics of oversaturated or undersaturated system operation. The model is used to study the stability and transient behavior of a congestion-prone system and to analyze policies for the control of congestion in a simple optimal control model.

Suggested Citation

  • Carson E. Agnew, 1976. "Dynamic Modeling and Control of Congestion-Prone Systems," Operations Research, INFORMS, vol. 24(3), pages 400-419, June.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:3:p:400-419
    DOI: 10.1287/opre.24.3.400
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.24.3.400
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.24.3.400?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. Fosgerau, Mogens, 2015. "Congestion in the bathtub," Economics of Transportation, Elsevier, vol. 4(4), pages 241-255.
    2. Rong Yuan & Stephen C. Graves, 2016. "Setting optimal production lot sizes and planned lead times in a job shop," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6105-6120, October.
    3. Arnott, Richard, 2013. "A bathtub model of downtown traffic congestion," Journal of Urban Economics, Elsevier, vol. 76(C), pages 110-121.
    4. Richard Arnott & Anatolii Kokoza & Mehdi Naji, 2016. "A Model of Rush-Hour Traffic Dynamics in an Isotropic Downtown Area," Working Papers 201612, University of California at Riverside, Department of Economics.
    5. van Ackere, Ann & Haxholdt, Christian & Larsen, Erik R., 2013. "Dynamic capacity adjustments with reactive customers," Omega, Elsevier, vol. 41(4), pages 689-705.
    6. 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.
    7. Hu, Lu & Zhao, Bin & Zhu, Juanxiu & Jiang, Yangsheng, 2019. "Two time-varying and state-dependent fluid queuing models for traffic circulation systems," European Journal of Operational Research, Elsevier, vol. 275(3), pages 997-1019.
    8. Arnott, Richard & Kokoza, Anatolii & Naji, Mehdi, 2016. "Equilibrium traffic dynamics in a bathtub model: A special case," Economics of Transportation, Elsevier, vol. 7, pages 38-52.
    9. 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.
    10. Richard J. Arnott & Anatolii Kokoza & Mehdi Naji, 2015. "A Model of Rush-Hour Traffic in an Isotropic Downtown Area," CESifo Working Paper Series 5465, CESifo.
    11. Jin, Wen-Long, 2020. "Generalized bathtub model of network trip flows," Transportation Research Part B: Methodological, Elsevier, vol. 136(C), pages 138-157.
    12. Julia Pahl & Stefan Voß & David Woodruff, 2007. "Production planning with load dependent lead times: an update of research," Annals of Operations Research, Springer, vol. 153(1), pages 297-345, September.

    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:inm:oropre:v:24:y:1976:i:3:p:400-419. 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.