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


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


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

    1. Perez, Gay Jane & Tapang, Giovanni & Lim, May & Saloma, Caesar, 2002. "Streaming, disruptive interference and power-law behavior in the exit dynamics of confined pedestrians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 609-618.
    2. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    3. Yang, Jianguo & Deng, Wen & Wang, Jinmei & Li, Qingfeng & Wang, Zhaoan, 2006. "Modeling pedestrians' road crossing behavior in traffic system micro-simulation in China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(3), pages 280-290, March.
    4. Hideaki Aoyama & Yuichi Nagahara & Mitsuhiro P. Okazaki & Wataru Souma & Hideki Takayasu & Misako Takayasu, 2000. "Pareto's Law for Income of Individuals and Debt of Bankrupt Companies," Papers cond-mat/0006038,
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    Cited by:

    1. repec:eee:phsmap:v:490:y:2018:i:c:p:1046-1060 is not listed on IDEAS
    2. 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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