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Simulation of bi-direction pedestrian movement using a cellular automata model

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  • Weifeng, Fang
  • Lizhong, Yang
  • Weicheng, Fan

Abstract

A cellular automata model is presented to simulate the bi-direction pedestrian movement. The pedestrian movement is more complex than vehicular flow for the reason that people are more flexible than cars. Some special technique is introduced considering simple human judgment to make the rules more reasonable. Also the custom in the countries where the pedestrian prefer to walk on the right-hand side of the road are highlighted. By using the model to simulate the bi-direction pedestrian movement, the phase transition phenomena in pedestrian counter flow is presented. Furthermore, the introduction of back stepping breaks the deadlock at the relatively low pedestrian density. By studying the critical density of changing from freely moving state to jammed state with different system sizes and different probabilities of back stepping, we find the critical density increases as the probability of back stepping increases at the same system size. And with the increasing system size, the critical density decreases at the same probability of back stepping according to the scope of system size studied in this paper.

Suggested Citation

  • Weifeng, Fang & Lizhong, Yang & Weicheng, Fan, 2003. "Simulation of bi-direction pedestrian movement using a cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 321(3), pages 633-640.
    • Handle: RePEc:eee:phsmap:v:321:y:2003:i:3:p:633-640
    DOI: 10.1016/S0378-4371(02)01732-6
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    Citations

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    Cited by:

    1. Yuan, Weifeng & Tan, Kang Hai, 2011. "A model for simulation of crowd behaviour in the evacuation from a smoke-filled compartment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4210-4218.
    2. Varas, A. & Cornejo, M.D. & Mainemer, D. & Toledo, B. & Rogan, J. & Muñoz, V. & Valdivia, J.A., 2007. "Cellular automaton model for evacuation process with obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 631-642.
    3. Feliciani, Claudio & Nishinari, Katsuhiro, 2016. "An improved Cellular Automata model to simulate the behavior of high density crowd and validation by experimental data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 135-148.
    4. Nagatani, Takashi, 2005. "Fluctuation and transition of vehicular traffic through a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 577-587.
    5. 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.
    6. Nagatani, Takashi, 2005. "Bunching and transition of vehicles controlled by a sequence of traffic lights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 563-576.
    7. Yang, Jianguo & Deng, Wen & Wang, Jinmei & Li, Qingfeng & Wang, Zhaoan, 2006. "Modeling pedestrians' road crossing behavior in traffic system micro-simulation in China," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(3), pages 280-290, March.
    8. Li, Jialin & Sun, Zijie & Zhang, Yaping, 2024. "Study on departure passenger movement during security check process at airport terminal based on an improved cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    9. Goldsztein, Guillermo H., 2017. "Crowd of individuals walking in opposite directions. A toy model to study the segregation of the group into lanes of individuals moving in the same direction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 162-173.
    10. Li, Zhenning & Xu, Chengzhong & Bian, Zilin, 2022. "A force-driven model for passenger evacuation in bus fires," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    11. Yue, Hao & Hao, Herui & Chen, Xiaoming & Shao, Chunfu, 2007. "Simulation of pedestrian flow on square lattice based on cellular automata model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 567-588.
    12. Nagai, Ryoichi & Nagatani, Takashi & Taniguchi, Naoki, 2005. "Traffic states and jamming transitions induced by a bus in two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 548-562.
    13. Abdelghany, Ahmed & Abdelghany, Khaled & Mahmassani, Hani, 2016. "A hybrid simulation-assignment modeling framework for crowd dynamics in large-scale pedestrian facilities," Transportation Research Part A: Policy and Practice, Elsevier, vol. 86(C), pages 159-176.
    14. 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.
    15. Zhang, Dawei & Zhu, Haitao & Hostikka, Simo & Qiu, Shi, 2019. "Pedestrian dynamics in a heterogeneous bidirectional flow: Overtaking behaviour and lane formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 72-84.
    16. Lili Lu & Gang Ren & Wei Wang & Chen Yu & Chenzi Ding, 2013. "Exploring the Effects of Different Walking Strategies on Bi-Directional Pedestrian Flow," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-9, November.
    17. Yuan Tang & Yu Xue & Muyang Huang & Qiyun Wen & Bingling Cen & Dong Chen, 2023. "A Lattice Hydrodynamic Model for Four-Way Pedestrian Traffic with Turning Capacity," Sustainability, MDPI, vol. 15(3), pages 1-17, January.
    18. Zhou, Xuemei & Hu, Jingjie & Ji, Xiangfeng & Xiao, Xiongziyan, 2019. "Cellular automaton simulation of pedestrian flow considering vision and multi-velocity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 982-992.
    19. Ding, Ning & Zhu, Yu & Liu, Xinyan & Dong, Dapeng & Wang, Yang, 2024. "A modified social force model for crowd evacuation considering collision predicting behaviors," Applied Mathematics and Computation, Elsevier, vol. 466(C).

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