Acta Physica Sinica, Volume. 68, Issue 24, 240505-1(2019)

Pedestrian-vehicle interference at a signalized crossing based on detailed microscopic traffic flow models

Yi-Zhou Tao1, Yan-Fang Wei2, Qing-Fei Gao3,4, and Li-Yun Dong3,4、*
Author Affiliations
  • 1College of Science, Shanghai Institute of Technology, Shanghai 201418, China
  • 2College of Physical Science and Technology, Yulin Normal University, Yulin 537000, China
  • 3Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China
  • 4Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai 200072, China
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    Figures & Tables(11)
    Schematic diagram for vehicle-pedestrian interaction at a signalized crossing信号交叉口人-车相互作用示意图
    Fundamental diagrams for vehicles under different splits: (a) Flux-density relation (μ = 0.5); (b) speed-density relation (μ = 0.5); (c) flux-density relation (μ = 0.9); (d) speed-density relation (μ = 0.9).不同绿信比下车辆运动基本图 (a)流量-密度曲线(μ = 0.5); (b)速度-密度曲线(μ = 0.5); (c)流量-密度曲线(μ = 0.9); (d)速度-密度曲线(μ = 0.9)
    Temporal-spatial patterns of vehicles in motion (): (a) k = 0.08, μ = 0.5; (b) k = 0.40, μ = 0.5; (c) k = 0.70, μ = 0.5; (d) k = 0.15, μ = 0.9.车辆运动时空演化斑图() (a) k = 0.08, μ = 0.5; (b) k = 0.40, μ = 0.5; (c) k = 0.70, μ = 0.5; (d) k = 0.15, μ = 0.9
    Waiting time of pedestrian varies with vehicle density under different splits: (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9.不同绿信比下行人等待时间随车辆密度的变化 (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9
    Waiting time of pedestrians varies with the arrival rate of pedestrian under different splits: (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9.不同绿信比下行人等待时间随行人到达率的变化 (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9
    Pedestrian delay time caused by vehicles under different splits: (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9.不同绿信比时车辆所导致的行人延误 (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9
    Vehicle delay time caused by pedestrians under different splits: (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9.不同绿信比时行人造成车辆的延误 (a) μ = 0.5; (b) μ = 0.8; (c) μ = 0.9
    Flux as a function of vehicle density and pedestrian arrival rate: (a) μ = 0.5; (b) μ = 0.9车流量随车辆密度和行人到达率的变化 (a) μ = 0.5; (b) μ = 0.9
    Waiting time of pedestrian as a function of vehicle density and pedestrian arrival rate: (a) μ = 0.5; (b) μ = 0.9.行人等待时间随车辆密度和行人到达率的变化 (a) μ = 0.5; (b) μ = 0.9
    Phase diagram in (λ, k) space: (a) μ = 0.5, (b) μ = 0.9.(λ, k)空间中的相图 (a) μ = 0.5; (b) μ = 0.9
    • Table 1.

      Probabilities for a pedestrian to move towards his/her neighboring cells

      各种情况下行人向邻近元胞的行走概率

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      Table 1.

      Probabilities for a pedestrian to move towards his/her neighboring cells

      各种情况下行人向邻近元胞的行走概率

      ${S_i}$
      (0, 0, 0)(1, 0, 0)(0, 0, 1)(0, 1, 0)(1, 0, 1)(0, 1, 1)(1, 1, 0)(1, 1, 1)
      ${p_{\rm{L}}}$$\dfrac{{1 - p}}{3}$0$\dfrac{{1 - p}}{2}$1/20100
      ${p_{\rm{F}}}$$p + \dfrac{{1 - p}}{3}$$p + \dfrac{{1 - p}}{2}$$p + \dfrac{{1 - p}}{2}$01000
      ${p_{\rm{R}}}$$\dfrac{{1 - p}}{3}$$\dfrac{{1 - p}}{2}$01/20010
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    Yi-Zhou Tao, Yan-Fang Wei, Qing-Fei Gao, Li-Yun Dong. Pedestrian-vehicle interference at a signalized crossing based on detailed microscopic traffic flow models[J]. Acta Physica Sinica, 2019, 68(24): 240505-1

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    Paper Information

    Received: Aug. 29, 2019

    Accepted: --

    Published Online: Sep. 17, 2020

    The Author Email:

    DOI:10.7498/aps.68.20191306

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