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Transition and saturation of traffic flow controlled by traffic lights

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  • Sasaki, Masashi
  • Nagatani, Takashi

Abstract

We study the traffic flow controlled by traffic lights on a single-lane roadway by using the optimal velocity model. The characteristic of traffic flow is clarified for the three different strategies of traffic light control: the simple synchronized, green wave, and random switching strategies. The current–density diagrams are calculated for the three different strategies. It is found that the saturation of current occurs at the critical density. The critical density of the dynamical transition depends on the cycle time of the traffic light and strategy. The value of the saturated current does not depend on the cycle time and the strategies. The density wave propagating backward appears when the current saturates. It is shown that the density wave is consistent with the spontaneous jam. A theoretical analysis is also presented for the dynamical transition.

Suggested Citation

  • Sasaki, Masashi & Nagatani, Takashi, 2003. "Transition and saturation of traffic flow controlled by traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(3), pages 531-546.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:3:p:531-546
    DOI: 10.1016/S0378-4371(03)00148-1
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    Citations

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    Cited by:

    1. Zhao, Jing & Knoop, Victor L. & Wang, Meng, 2020. "Two-dimensional vehicular movement modelling at intersections based on optimal control," Transportation Research Part B: Methodological, Elsevier, vol. 138(C), pages 1-22.
    2. Tang, Tie-Qiao & Yi, Zhi-Yan & Zhang, Jian & Wang, Tao & Leng, Jun-Qiang, 2018. "A speed guidance strategy for multiple signalized intersections based on car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 399-409.
    3. Wastavino, L.A. & Toledo, B.A. & Rogan, J. & Zarama, R. & Muñoz, V. & Valdivia, J.A., 2007. "Modeling traffic on crossroads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 411-419.
    4. Elisabeth Bloder & Georg Jäger, 2021. "Is the Green Wave Really Green? The Risks of Rebound Effects When Implementing “Green” Policies," Sustainability, MDPI, vol. 13(10), pages 1-11, May.
    5. Guan, Xueyi & Cheng, Rongjun & Ge, Hongxia, 2021. "Bifurcation control of optimal velocity model through anticipated effect and response time-delay feedback methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).

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