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An application of shock wave theory to traffic signal control

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  • Michalopoulos, Panos G.
  • Stephanopoulos, Gregory
  • Stephanopoulos, George

Abstract

A real time control policy minimizing total intersection delays subject to queue length constraints at an isolated signalized intersection is developed in this paper. The policy is derived from a new traffic model which describes the simultaneous evolution of queue lengths of two conflicting traffic streams, controlled by a traffic light, in both time and space. The model is based on the examination of shock waves generated upstream of the stop lines by the intermittent service of traffic at the signal. The proposed policy was tested against the existing pre-timed control policy at a high volume intersection and it was found superior, especially when demands increase well above the saturation level.

Suggested Citation

  • Michalopoulos, Panos G. & Stephanopoulos, Gregory & Stephanopoulos, George, 1981. "An application of shock wave theory to traffic signal control," Transportation Research Part B: Methodological, Elsevier, vol. 15(1), pages 35-51, February.
    • Handle: RePEc:eee:transb:v:15:y:1981:i:1:p:35-51
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    Citations

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    Cited by:

    1. I Talmor & D Mahalel, 2007. "Signal design for an isolated intersection during congestion," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(4), pages 454-466, April.
    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. Mohajerpoor, Reza & Saberi, Meead & Ramezani, Mohsen, 2019. "Analytical derivation of the optimal traffic signal timing: Minimizing delay variability and spillback probability for undersaturated intersections," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 45-68.
    4. Srivastava, Anupam & Jin, Wen-Long & Lebacque, Jean-Patrick, 2015. "A modified Cell Transmission Model with realistic queue discharge features at signalized intersections," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 302-315.
    5. Wang, Zhengli & Zhu, Liyun & Ran, Bin & Jiang, Hai, 2020. "Queue profile estimation at a signalized intersection by exploiting the spatiotemporal propagation of shockwaves," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 59-71.
    6. 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.
    7. Bae, Bumjoon & Liu, Yuandong & Han, Lee D. & Bozdogan, Hamparsum, 2019. "Spatio-temporal traffic queue detection for uninterrupted flows," Transportation Research Part B: Methodological, Elsevier, vol. 129(C), pages 20-34.
    8. Rouhani, Omid M., 2013. "Queue Dissipation Shockwave Speed– A Signalized Intersection Case Study," 54th Annual Transportation Research Forum, Annapolis, Maryland, March 21-23, 2013 206954, Transportation Research Forum.
    9. 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.
    10. Dion, Francois & Rakha, Hesham & Kang, Youn-Soo, 2004. "Comparison of delay estimates at under-saturated and over-saturated pre-timed signalized intersections," Transportation Research Part B: Methodological, Elsevier, vol. 38(2), pages 99-122, February.

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