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Clustering and maximal flow in vehicular traffic through a sequence of traffic lights

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  • Nagatani, Takashi

Abstract

We study the maximal current (maximum traffic capacity) of vehicular traffic through a sequence of traffic lights on a highway, where all signals turn on and off synchronously. The dynamical model of vehicular traffic controlled by signals is expressed in terms of a nonlinear map, where the excluded-volume effect is taken into account. The dynamical behaviors of vehicles are clarified by analyzing traffic patterns. The clustering of vehicles varies with the cycle time of signals. The maximum current is closely connected to vehicular clustering. Clustering of vehicles is controlled by varying both split and cycle time of signals. The dependence of the maximal current on both split and cycle time is derived.

Suggested Citation

  • Nagatani, Takashi, 2007. "Clustering and maximal flow in vehicular traffic through a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 651-660.
    • Handle: RePEc:eee:phsmap:v:377:y:2007:i:2:p:651-660
    DOI: 10.1016/j.physa.2006.11.028
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    Cited by:

    1. Li, Xiang & Sun, Jian-Qiao, 2019. "Intersection multi-objective optimization on signal setting and lane assignment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1233-1246.
    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. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    4. Pastén, D. & Muñoz, V. & Toledo, B. & Villalobos, J. & Zarama, R. & Rogan, J. & Valdivia, J.A., 2012. "Universal behavior in a model of city traffic with unequal green/red times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5230-5243.
    5. Tang, Tie-Qiao & Yi, Zhi-Yan & Lin, Qing-Feng, 2017. "Effects of signal light on the fuel consumption and emissions under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 200-205.
    6. 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.

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