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Power-law in pedestrian crossing flow under the interference of vehicles at an un-signalized midblock crosswalk

Author

Listed:
  • Xin, Xiuying
  • Jia, Ning
  • Zheng, Liang
  • Ma, Shoufeng

Abstract

Mixed traffic without signal control is complicated. This paper proposes a pedestrian–vehicle cellular automata (CA) model to study the characteristics of the mixed traffic. The model includes two sub models. One is the pedestrian model, in which the heterogeneity is taken into consideration. The other is the vehicle model, in which a safely running mode and a normally running mode are introduced. Simulation results show that (1) the traffic flow experiences four phases, that is, free flow, pedestrians-free flow, vehicles-free flow and jams, (2) pedestrians cross the crosswalk in groups and the sizes of the groups obey power law distribution, and (3) the heterogeneity of pedestrians acts an important role in the system. If the pedestrians are simultaneously homogeneous, the mixed traffic flow shows a “polarization” and these power-laws disappear under high arrival rates of vehicles and pedestrians.

Suggested Citation

  • Xin, Xiuying & Jia, Ning & Zheng, Liang & Ma, Shoufeng, 2014. "Power-law in pedestrian crossing flow under the interference of vehicles at an un-signalized midblock crosswalk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 287-297.
    • Handle: RePEc:eee:phsmap:v:406:y:2014:i:c:p:287-297
    DOI: 10.1016/j.physa.2014.03.068
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    References listed on IDEAS

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    1. Lee, Jodie Y.S. & Lam, William H.K., 2008. "Simulating pedestrian movements at signalized crosswalks in Hong Kong," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(10), pages 1314-1325, December.
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    Cited by:

    1. Layegh, Maziyar & Mirbaha, Babak & Rassafi, Amir Abbas, 2020. "Modeling the pedestrian behavior at conflicts with vehicles in multi-lane roundabouts (a cellular automata approach)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    2. Huang, Yue & Li, Dewei & Cheng, Jianhui, 2021. "Simulation of pedestrian–vehicle interference in railway station drop-off area based on cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 579(C).
    3. Shunqiang Ye & Lu Wang & Kang Hao Cheong & Nenggang Xie, 2017. "Pedestrian Group-Crossing Behavior Modeling and Simulation Based on Multidimensional Dirty Faces Game," Complexity, Hindawi, vol. 2017, pages 1-12, December.
    4. Chen, Liang & Sun, Jingjie & Li, Kun & Li, Qiaoru, 2022. "Research on the effectiveness of monitoring mechanism for “yield to pedestrian” based on system dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    5. Wang, Yongjie & Shen, Binchang & Wu, Hao & Wang, Chao & Su, Qian & Chen, Wenqiang, 2021. "Modeling illegal pedestrian crossing behaviors at unmarked mid-block roadway based on extended decision field theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    6. Wang, Yan & Peng, Zhongyi & Chen, Qun, 2018. "Simulated interactions of pedestrian crossings and motorized vehicles in residential areas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1046-1060.
    7. Chen, Qun & Wang, Yan, 2015. "Cellular automata (CA) simulation of the interaction of vehicle flows and pedestrian crossings on urban low-grade uncontrolled roads," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 43-57.

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