IDEAS home Printed from https://ideas.repec.org/a/inm/ortrsc/v14y1980i1p9-41.html
   My bibliography  Save this article

Modeling of Traffic Flow at Signalized Links

Author

Listed:
  • Panos G. Michalopoulos

    (University of Minnesota, Minneapolis, Minnesota)

  • Gregory Stephanopoulos

    (California Institute of Technology, Pasadena, California)

  • Vijay B. Pisharody

    (University of Minnesota, Minneapolis, Minnesota)

Abstract

A rigorous mathematical modeling and analysis of the traffic dynamics downstream of traffic signals and in links between signalized intersections is presented in this paper. The approach taken here is macroscopic in nature and traffic is treated as a continuum fluid. The existence and behavior of shock waves generated periodically downstream of a traffic signal is demonstrated and analytical expressions are derived for describing their propagation along the road. The formation and dissipation of traffic queues at the downstream signal in both time and space is studied and analytical expressions are presented for describing the evolution of the tail end of the queue in time. Due to the large number of possible queue length developments, a methodology for numerical solution to the problem is presented along with numerical examples.

Suggested Citation

  • Panos G. Michalopoulos & Gregory Stephanopoulos & Vijay B. Pisharody, 1980. "Modeling of Traffic Flow at Signalized Links," Transportation Science, INFORMS, vol. 14(1), pages 9-41, February.
    • Handle: RePEc:inm:ortrsc:v:14:y:1980:i:1:p:9-41
    DOI: 10.1287/trsc.14.1.9
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/trsc.14.1.9
    Download Restriction: no
    File URL: https://libkey.io/10.1287/trsc.14.1.9?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. Jiang, Yi & Li, Shuo & Shamo, Daniel E., 2006. "A platoon-based traffic signal timing algorithm for major-minor intersection types," Transportation Research Part B: Methodological, Elsevier, vol. 40(7), pages 543-562, August.
    2. Cho, Hsun-Jung & Tseng, Ming-Te & Hwang, Ming-Chorng, 2014. "Using detection of vehicular presence to estimate shockwave speed and upstream traffics for a signalized intersection," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1151-1165.
    3. Saha, Arpita & Chakraborty, Souvik & Chandra, Satish & Ghosh, Indrajit, 2018. "Kriging based saturation flow models for traffic conditions in Indian cities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 118(C), pages 38-51.
    4. Wong, S. C. & Wong, G. C. K., 2002. "An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed-density relationship," Transportation Research Part B: Methodological, Elsevier, vol. 36(8), pages 683-706, 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:ortrsc:v:14:y:1980:i:1:p:9-41. 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.