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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
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.

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