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

Xiuying Xin, Ning Jia, Liang Zheng and Shoufeng Ma

Physica A: Statistical Mechanics and its Applications, 2014, vol. 406, issue C, 287-297

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.

Keywords: CA model; Pedestrian–vehicle interference; Heterogeneity; Power law distribution (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:406:y:2014:i:c:p:287-297

DOI: 10.1016/j.physa.2014.03.068

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