中国物理B ›› 2024, Vol. 33 ›› Issue (9): 90206-090206.doi: 10.1088/1674-1056/ad57ab

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Non-monotonic behavior of jam probability and stretched exponential distribution in pedestrian counterflow

Ze-Hao Chen(陈泽昊)1,2,†, Zhi-Xi Wu(吴枝喜)2,‡, and Jian-Yue Guan(关剑月)2,§   

  1. 1 College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
    2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory for Quantum Theory and Applications of the Ministry of Education, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2024-03-05 修回日期:2024-05-27 接受日期:2024-06-13 出版日期:2024-09-15 发布日期:2024-08-22
  • 通讯作者: Ze-Hao Chen, Zhi-Xi Wu, Jian-Yue Guan E-mail:chenzh19@lzu.edu.cn;wuzhx@lzu.edu.cn;guanjy@lzu.edu.cn
  • 基金资助:
    Project support by the National Natural Science Foundation of China (Grant Nos. 11975111 and 12247101), the 111 Project (Grant No. B20063), and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant Nos. lzujbky-2019-85, lzujbky-2023-ey02, and lzujbky-2024-11).

Non-monotonic behavior of jam probability and stretched exponential distribution in pedestrian counterflow

Ze-Hao Chen(陈泽昊)1,2,†, Zhi-Xi Wu(吴枝喜)2,‡, and Jian-Yue Guan(关剑月)2,§   

  1. 1 College of Physical Science and Technology, Guangxi Normal University, Guilin 541004, China;
    2 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory for Quantum Theory and Applications of the Ministry of Education, Lanzhou University, Lanzhou 730000, China
  • Received:2024-03-05 Revised:2024-05-27 Accepted:2024-06-13 Online:2024-09-15 Published:2024-08-22
  • Contact: Ze-Hao Chen, Zhi-Xi Wu, Jian-Yue Guan E-mail:chenzh19@lzu.edu.cn;wuzhx@lzu.edu.cn;guanjy@lzu.edu.cn
  • Supported by:
    Project support by the National Natural Science Foundation of China (Grant Nos. 11975111 and 12247101), the 111 Project (Grant No. B20063), and the Fundamental Research Funds for the Central Universities of Ministry of Education of China (Grant Nos. lzujbky-2019-85, lzujbky-2023-ey02, and lzujbky-2024-11).

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摘要： We adopt a floor field cellular automata model to study the statistical properties of bidirectional pedestrian flow moving in a straight corridor. We introduce a game-theoretic framework to deal with the conflict of multiple pedestrians trying to move to the same target location. By means of computer simulations, we show that the complementary cumulative distribution of the time interval between two consecutive pedestrians leaving the corridor can be fitted by a stretched exponential distribution, and surprisingly, the statistical properties of the two types of pedestrian flows are affected differently by the flow ratio, i.e., the ratio of the pedestrians walking toward different directions. We also find that the jam probability exhibits a non-monotonic behavior with the flow ratio, where the worst performance arises at an intermediate flow ratio of around 0.2. Our simulation results are consistent with some empirical observations, which suggest that the peculiar characteristics of the pedestrians may attributed to the anticipation mechanism of collision avoidance.

关键词: traffic and crowd dynamics, evolutionary game theory

Abstract: We adopt a floor field cellular automata model to study the statistical properties of bidirectional pedestrian flow moving in a straight corridor. We introduce a game-theoretic framework to deal with the conflict of multiple pedestrians trying to move to the same target location. By means of computer simulations, we show that the complementary cumulative distribution of the time interval between two consecutive pedestrians leaving the corridor can be fitted by a stretched exponential distribution, and surprisingly, the statistical properties of the two types of pedestrian flows are affected differently by the flow ratio, i.e., the ratio of the pedestrians walking toward different directions. We also find that the jam probability exhibits a non-monotonic behavior with the flow ratio, where the worst performance arises at an intermediate flow ratio of around 0.2. Our simulation results are consistent with some empirical observations, which suggest that the peculiar characteristics of the pedestrians may attributed to the anticipation mechanism of collision avoidance.

Key words: traffic and crowd dynamics, evolutionary game theory

中图分类号:  (Decision theory and game theory)

  • 02.50.Le
45.70.Vn (Granular models of complex systems; traffic flow)