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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 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 |
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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.
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Received: 05 March 2024
Revised: 27 May 2024
Accepted manuscript online:
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PACS:
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02.50.Le
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(Decision theory and game theory)
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45.70.Vn
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(Granular models of complex systems; traffic flow)
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| Fund: 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). |
Corresponding Authors:
Ze-Hao Chen, Zhi-Xi Wu, Jian-Yue Guan
E-mail: chenzh19@lzu.edu.cn;wuzhx@lzu.edu.cn;guanjy@lzu.edu.cn
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Cite this article:
Ze-Hao Chen(陈泽昊), Zhi-Xi Wu(吴枝喜), and Jian-Yue Guan(关剑月) Non-monotonic behavior of jam probability and stretched exponential distribution in pedestrian counterflow 2024 Chin. Phys. B 33 090206
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