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Vehicular motion in counter traffic flow through a series of signals controlled by a phase shift

Author

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  • Nagatani, Takashi
  • Tobita, Kazuhiro

Abstract

We study the dynamical behavior of counter traffic flow through a sequence of signals (traffic lights) controlled by a phase shift. There are two lanes for the counter traffic flow: the first lane is for east-bound vehicles and the second lane is for west-bound vehicles. The green-wave strategy is studied in the counter traffic flow where the phase shift of signals in the second lane has opposite sign to that in the first lane. A nonlinear dynamic model of the vehicular motion is presented by nonlinear maps at a low density. There is a distinct difference between the traffic flow in the first lane and that in the second lane. The counter traffic flow exhibits very complex behavior on varying the cycle time, the phase difference, and the split. Also, the fundamental diagram is derived by the use of the cellular automaton (CA) model. The dependence of east-bound and west-bound vehicles on cycle time, phase difference, and density is clarified.

Suggested Citation

  • Nagatani, Takashi & Tobita, Kazuhiro, 2012. "Vehicular motion in counter traffic flow through a series of signals controlled by a phase shift," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4976-4985.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:20:p:4976-4985
    DOI: 10.1016/j.physa.2012.05.044
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    Citations

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    Cited by:

    1. He, Jia & Yang, Hai & Huang, Hai-Jun & Tang, Tie-Qiao, 2018. "Impacts of wireless charging lanes on travel time and energy consumption in a two-lane road system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 1-10.
    2. Ou, Hui & Tang, Tie-Qiao & Zhang, Jian & Zhou, Jie-Ming, 2018. "A car-following model accounting for probability distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 105-113.
    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. Malenje, Jairus Odawa & Zhao, Jing & Li, Peng & Han, Yin, 2018. "An extended car-following model with the consideration of the illegal pedestrian crossing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 650-661.
    5. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of moving bottlenecks on traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 131-138.
    6. Zhao, Jing & Li, Peng, 2016. "An extended car-following model with consideration of speed guidance at intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 1-8.
    7. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of carpooling on trip costs under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 136-143.
    8. He, Jia & Huang, Hai-Jun & Yang, Hai & Tang, Tie-Qiao, 2017. "An electric vehicle driving behavior model in the traffic system with a wireless charging lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 119-126.
    9. Zhao, Jing & Li, Peng, 2017. "An extended car-following model with consideration of vehicle to vehicle communication of two conflicting streams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 178-187.
    10. Tang, Tie-Qiao & Shi, Wei-Fang & Huang, Hai-Jun & Wu, Wen-Xiang & Song, Ziqi, 2019. "A route-based traffic flow model accounting for interruption factors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 767-785.
    11. Ou, Hui & Tang, Tie-Qiao, 2018. "An extended two-lane car-following model accounting for inter-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 260-268.

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