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Influences of overtaking on two-lane traffic with signals

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  • Chen, Chen
  • Chen, Jianqiao
  • Guo, Xiwei

Abstract

Based on the cellular automata method (CA method), two-lane traffic flow with the consideration of overtaking is investigated. Discrete equations are proposed to describe the traffic dynamics by using the rules of CA model. Influences of signal cycle time (ts) and vehicular density (ρ) on the mean velocity 〈v〉 and mean overtaking times 〈c〉 of the traffic flow are discussed. The effects of slow vehicles and road barricades on the traffic flow are also studied. Simulation results shows that the vehicular density and the signal cycle time have significant influences on the traffic flow. The mean velocity of the traffic flow could keep a comparatively large value when ρ≤0.45. For a certain value of ρ, 〈v〉 displays a serrated fluctuation with ts. Therefore, there may exist a certain combination of ρ and ts which optimizes the traffic flow efficiency. As compared with the results in Nagatani (2009) [7], the model proposed here and the simulation results which took into account the effects of signal cycle time, slow vehicles, and road barricades on the traffic flow with overtaking allowed, can reflect the situation of traffic flow in a more realistic way.

Suggested Citation

  • Chen, Chen & Chen, Jianqiao & Guo, Xiwei, 2010. "Influences of overtaking on two-lane traffic with signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 141-148.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:1:p:141-148
    DOI: 10.1016/j.physa.2009.09.007
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    References listed on IDEAS

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    1. Komada, Kazuhito & Masukura, Shuichi & Nagatani, Takashi, 2009. "Effect of gravitational force upon traffic flow with gradients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2880-2894.
    2. Li, Xin-Gang & Jia, Bin & Gao, Zi-You & Jiang, Rui, 2006. "A realistic two-lane cellular automata traffic model considering aggressive lane-changing behavior of fast vehicle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 479-486.
    3. Li, Xin-Gang & Gao, Zi-You & Jia, Bin & Jiang, Rui, 2009. "Deceleration in advance in the Nagel–Schreckenberg traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2051-2060.
    4. Wei, Ziqiang & Hong, Yiguang & Wang, Dahui, 2009. "The phase diagram and the pathway of phase transitions for traffic flow in a circular one-lane roadway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1665-1672.
    5. Zhu, H.B. & Lei, L. & Dai, S.Q., 2009. "Two-lane traffic simulations with a blockage induced by an accident car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2903-2910.
    6. Ngoduy, D. & Hoogendoorn, S.P. & Liu, R., 2009. "Continuum modeling of cooperative traffic flow dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2705-2716.
    7. Tang, T.Q. & Huang, H.J. & Mei, C.Q. & Zhao, S.G., 2008. "A dynamic model for traffic network flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2603-2610.
    8. Nagatani, Takashi, 2009. "Traffic states and fundamental diagram in cellular automaton model of vehicular traffic controlled by signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1673-1681.
    9. McKee, Alan & McCartney, Mark, 2009. "Stability and instability in a class of car following model on a closed loop," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2476-2482.
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    Cited by:

    1. Yang, Qiaoli & Shi, Zhongke, 2018. "The evolution process of queues at signalized intersections under batch arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 413-425.
    2. Nagatani, Takashi, 2020. "Traffic flow on percolation-backbone fractal," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    3. Nagatani, Takashi, 2021. "Traffic flow on star graph: Nonlinear diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    4. Li, Xin & Li, Xingang & Xiao, Yao & Jia, Bin, 2016. "Modeling mechanical restriction differences between car and heavy truck in two-lane cellular automata traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 49-62.
    5. Yang, Qiaoli & Shi, Zhongke, 2018. "Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 181-195.

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