中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20505-020505.doi: 10.1088/1674-1056/ad09d1

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Pedestrian lane formation with following-overtaking model and measurement of system order

Bi-Lu Li(李碧璐)1,2, Zheng Li(李政)1,2, Rui Zhou(周睿)1,2,†, and Shi-Fei Shen(申世飞)1,2   

  1. 1 Department of Engineering Physics, Tsinghua University, Beijing 100084, China;
    2 School of Safety Science, Tsinghua University, Beijing 100084, China
  • 收稿日期:2023-09-15 修回日期:2023-10-19 接受日期:2023-11-06 出版日期:2024-01-16 发布日期:2024-01-16
  • 通讯作者: Rui Zhou E-mail:zhour@tsinghua.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 71603146).

Pedestrian lane formation with following-overtaking model and measurement of system order

Bi-Lu Li(李碧璐)1,2, Zheng Li(李政)1,2, Rui Zhou(周睿)1,2,†, and Shi-Fei Shen(申世飞)1,2   

  1. 1 Department of Engineering Physics, Tsinghua University, Beijing 100084, China;
    2 School of Safety Science, Tsinghua University, Beijing 100084, China
  • Received:2023-09-15 Revised:2023-10-19 Accepted:2023-11-06 Online:2024-01-16 Published:2024-01-16
  • Contact: Rui Zhou E-mail:zhour@tsinghua.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 71603146).

摘要: Pedestrian self-organizing movement plays a significant role in evacuation studies and architectural design. Lane formation, a typical self-organizing phenomenon, helps pedestrian system to become more orderly, the majority of following behavior model and overtaking behavior model are imprecise and unrealistic compared with pedestrian movement in the real world. In this study, a pedestrian dynamic model considering detailed modelling of the following behavior and overtaking behavior is constructed, and a method of measuring the lane formation and pedestrian system order based on information entropy is proposed. Simulation and analysis demonstrate that the following and avoidance behaviors are important factors of lane formation. A high tendency of following results in good lane formation. Both non-selective following behavior and aggressive overtaking behavior cause the system order to decrease. The most orderly following strategy for a pedestrian is to overtake the former pedestrian whose speed is lower than approximately 70% of his own. The influence of the obstacle layout on pedestrian lane and egress efficiency is also studied with this model. The presence of a small obstacle does not obstruct the walking of pedestrians; in contrast, it may help to improve the egress efficiency by guiding the pedestrian flow and mitigating the reduction of pedestrian system orderliness.

关键词: pedestrian movement, lane formation, information entropy, order degree

Abstract: Pedestrian self-organizing movement plays a significant role in evacuation studies and architectural design. Lane formation, a typical self-organizing phenomenon, helps pedestrian system to become more orderly, the majority of following behavior model and overtaking behavior model are imprecise and unrealistic compared with pedestrian movement in the real world. In this study, a pedestrian dynamic model considering detailed modelling of the following behavior and overtaking behavior is constructed, and a method of measuring the lane formation and pedestrian system order based on information entropy is proposed. Simulation and analysis demonstrate that the following and avoidance behaviors are important factors of lane formation. A high tendency of following results in good lane formation. Both non-selective following behavior and aggressive overtaking behavior cause the system order to decrease. The most orderly following strategy for a pedestrian is to overtake the former pedestrian whose speed is lower than approximately 70% of his own. The influence of the obstacle layout on pedestrian lane and egress efficiency is also studied with this model. The presence of a small obstacle does not obstruct the walking of pedestrians; in contrast, it may help to improve the egress efficiency by guiding the pedestrian flow and mitigating the reduction of pedestrian system orderliness.

Key words: pedestrian movement, lane formation, information entropy, order degree

中图分类号:  (Numerical simulations of chaotic systems)

  • 05.45.Pq
89.40.-a (Transportation) 89.70.Cf (Entropy and other measures of information) 05.65.+b (Self-organized systems)