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

作　　者：Ze-Hao Chen Zhi-Xi Wu Jian-Yue Guan 陈泽昊;吴枝喜;关剑月(College of Physical Science and Technology,Guangxi Normal University,Guilin 541004,China;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)

机构地区：[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

出　　处：《Chinese Physics B》2024年第9期259-266,共8页中国物理B（英文版）

基　　金：the National Natural Science Founda-tion of China(Grant Nos.11975111 and 12247101);the 111 Project(Grant No.B20063);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).

摘　　要：We adopt a floor field cellular automata model to study the statistical properties of bidirectional pedestrian flow movingin a straight corridor. We introduce a game-theoretic framework to deal with the conflict of multiple pedestrians tryingto move to the same target location. By means of computer simulations, we show that the complementary cumulative distributionof the time interval between two consecutive pedestrians leaving the corridor can be fitted by a stretched exponentialdistribution, and surprisingly, the statistical properties of the two types of pedestrian flows are affected differently by theflow ratio, i.e., the ratio of the pedestrians walking toward different directions. We also find that the jam probability exhibitsa non-monotonic behavior with the flow ratio, where the worst performance arises at an intermediate flow ratio of around0.2. Our simulation results are consistent with some empirical observations, which suggest that the peculiar characteristicsof the pedestrians may attributed to the anticipation mechanism of collision avoidance.

关 键 词：traffic and crowd dynamics evolutionary game theory 

分 类 号：U491.226[交通运输工程—交通运输规划与管理]