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

Author

Listed:
  • Dong-Fan Xie

    (School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China;
    MOE Key Laboratory for Urban Transportation Complex Systems, Theory and Technology, Beijing Jiaotong University, Beijing 100044, P. R. China)

  • Xiao-Mei Zhao

    (School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China;
    MOE Key Laboratory for Urban Transportation Complex Systems, Theory and Technology, Beijing Jiaotong University, Beijing 100044, P. R. China)

  • Xin-Gang Li

    (School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, P. R. China;
    MOE Key Laboratory for Urban Transportation Complex Systems, Theory and Technology, Beijing Jiaotong University, Beijing 100044, P. R. China)

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.

Suggested Citation

  • Dong-Fan Xie & Xiao-Mei Zhao & Xin-Gang Li, 2015. "Cellular automaton modeling of traffic flow at a crosswalk with push button," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(02), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:02:n:s0129183115500199
    DOI: 10.1142/S0129183115500199
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    Cited by:

    1. Keyan Bai & Enjian Yao & Long Pan & Linze Li & Wei Chen, 2020. "Dynamic Crosswalk Signal Timing Optimization Model Considering Vehicle and Pedestrian Delays and Fuel Consumption Cost," Sustainability, MDPI, vol. 12(2), pages 1-9, January.

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