Cellular automaton modeling of traffic flow at a crosswalk with push button

Dong-Fan Xie (), Xiao-Mei Zhao and Xin-Gang Li
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Dong-Fan Xie: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China;
Xiao-Mei Zhao: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China;
Xin-Gang Li: School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China;

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 02, 1-10

Abstract: In this work, a cellular automaton model is presented to depict the traffic flow at such a crosswalk with push button. The characteristics of vehicle flow with various arriving rate of pedestrians are investigated. Flux curves and spatiotemporal diagrams are plotted to show different traffic states and the phase transition features. A parameter, named as button reaction time, is introduced to represent the green time for vehicle flow after the button is pushed by a pedestrian. The effect of button reaction time on saturated flux is investigated. The results show that there is a critical value of button reaction time. The saturated flux increases rapidly when button reaction time is smaller than the critical value, while it increases slowly otherwise. Furthermore, theoretical analysis is performed and the results coincide with the simulation ones.

Keywords: Traffic flow; cellular automaton; crosswalk; push button; 89.40.-a; 05.40.-a; 64.60.Cn; 05.70.Fh (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183115500199

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