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Pattern formation and jamming transition in pedestrian counter flow

Author

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  • Tajima, Yusuke
  • Takimoto, Kouhei
  • Nagatani, Takashi

Abstract

Pattern formation is investigated in the pedestrian counter flow within a channel where there are two types of walkers going to the right and to the left. The lattice gas model of biased random walkers is extended to take into account following the front persons with the same direction (model A). According as the walkers go ahead, the pedestrian segregate into the two kinds of segments: the one is the group of the right walkers and the other is the group of left walkers. Walkers form in line and the two types of walkers file alternately. With increasing density, the filing appears distinctly. When the density is higher than the critical value, all walkers are hard to go ahead and the jamming transition occurs. Model B is also presented to take into account avoiding the front persons with the opposite direction. The pattern formation and jamming transition are compared with those of model A.

Suggested Citation

  • Tajima, Yusuke & Takimoto, Kouhei & Nagatani, Takashi, 2002. "Pattern formation and jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 709-723.
    • Handle: RePEc:eee:phsmap:v:313:y:2002:i:3:p:709-723
    DOI: 10.1016/S0378-4371(02)00965-2
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    Citations

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    Cited by:

    1. Flötteröd, Gunnar & Lämmel, Gregor, 2015. "Bidirectional pedestrian fundamental diagram," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 194-212.
    2. Sun, Lishan & Yuan, Guang & Yao, Liya & Cui, Li & Kong, Dewen, 2021. "Study on strategies for alighting and boarding in subway stations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(C).
    3. Miyagawa, Daiki & Ichinose, Genki, 2020. "Cellular automaton model with turning behavior in crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    4. Ma, Jian & Song, Wei-guo & Zhang, Jun & Lo, Siu-ming & Liao, Guang-xuan, 2010. "k-Nearest-Neighbor interaction induced self-organized pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2101-2117.
    5. Guo, Wei & Wang, Xiaolu & Zheng, Xiaoping, 2015. "Lane formation in pedestrian counterflows driven by a potential field considering following and avoidance behaviours," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 87-101.
    6. Luo, Lin & Liu, Xiaobo & Fu, Zhijian & Ma, Jian & Liu, Fanxiao, 2020. "Modeling following behavior and right-side-preference in multidirectional pedestrian flows by modified FFCA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    7. Liu, Shaobo & Yang, Lizhong & Fang, Tingyong & Li, Jian, 2009. "Evacuation from a classroom considering the occupant density around exits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(9), pages 1921-1928.
    8. Hao, Qing-Yi & Qian, Jia-Li & Wu, Chao-Yun & Guo, Ning, 2021. "Phase behaviors of counterflowing stream of pedestrians with site-exchange in local vision and environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    9. Jin, Cheng-Jie & Jiang, Rui & Yin, Jun-Lin & Dong, Li-Yun & Li, Dawei, 2017. "Simulating bi-directional pedestrian flow in a cellular automaton model considering the body-turning behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 666-681.
    10. Yue, Hao & Guan, Hongzhi & Zhang, Juan & Shao, Chunfu, 2010. "Study on bi-direction pedestrian flow using cellular automata simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 527-539.
    11. Zhang, Jun & Song, Weiguo & Xu, Xuan, 2008. "Experiment and multi-grid modeling of evacuation from a classroom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5901-5909.
    12. Tao, Y.Z. & Dong, L.Y., 2017. "A Cellular Automaton model for pedestrian counterflow with swapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 475(C), pages 155-168.
    13. Fang, Jun & Qin, Zheng & Hu, Hao & Xu, Zhaohui & Li, Huan, 2012. "The fundamental diagram of pedestrian model with slow reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6112-6120.
    14. Yang, Xiaoxia & Yang, Xiaoli & Pan, Fuquan & Kang, Yuanlei & Zhang, Jihui, 2021. "The effect of passenger attributes on alighting and boarding efficiency based on social force model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    15. Lei, Wenjun & Li, Angui & Gao, Ran & Zhou, Ning & Mei, Sen & Tian, Zhenguo, 2012. "Experimental study and numerical simulation of evacuation from a dormitory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5189-5196.
    16. Moonsoo Ko & Taewan Kim & Keemin Sohn, 2013. "Calibrating a social-force-based pedestrian walking model based on maximum likelihood estimation," Transportation, Springer, vol. 40(1), pages 91-107, January.
    17. Jin, Cheng-Jie & Jiang, Rui & Wei, Wei & Li, Dawei & Guo, Ning, 2018. "Microscopic events under high-density condition in uni-directional pedestrian flow experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 237-247.
    18. Zhang, Qi, 2015. "Simulation model of bi-directional pedestrian considering potential effect ahead and behind," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 335-348.

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