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Simulation of pedestrian flow on square lattice based on cellular automata model

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  • Yue, Hao
  • Hao, Herui
  • Chen, Xiaoming
  • Shao, Chunfu

Abstract

Simulations of two-way and four-way pedestrian flow on the square lattice for small systems will be presented based on cellular automata (CA) in this paper. For the reason that the decision-making process of pedestrians in their movements is complex and intelligent, pedestrian movement is more flexible and adaptive to dynamic conditions than vehicular flow. First, a special technique will be introduced to simplify tactically the process into the interaction of four dynamic parameters, which can reflect the pedestrian judgment on the surrounding conditions and decide the pedestrian's choice of action such as moving ahead, stopping to wait, position exchange, lane switching, back stepping, etc. Second, the simulation method and the relationships of velocity–density and flow–density will be studied and analyzed. It is found that there are phase transitions at the critical density point and at different phases the relationships of velocity–density and flow–density are different from each other. Moreover, the different weight coefficients of four dynamic parameters affect the simulation results of these two models.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:2:p:567-588
    DOI: 10.1016/j.physa.2007.05.070
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    References listed on IDEAS

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    Cited by:

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    3. Chen, Yanyan & Chen, Ning & Wang, Yang & Wang, Zhenbao & Feng, Guochen, 2015. "Modeling pedestrian behaviors under attracting incidents using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 287-300.
    4. Sun, Yi, 2018. "Kinetic Monte Carlo simulations of two-dimensional pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 836-847.
    5. Sun, Yi, 2019. "Simulations of bi-direction pedestrian flow using kinetic Monte Carlo methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 519-531.
    6. Yue, Hao & Zhang, Junyao & Chen, Wenxin & Wu, Xinsen & Zhang, Xu & Shao, Chunfu, 2021. "Simulation of the influence of spatial obstacles on evacuation pedestrian flow in walking facilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    7. Perez, Gay Jane & Saloma, Caesar, 2009. "Allelomimesis as escape strategy of pedestrians in two-exit confinements," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(12), pages 2469-2475.
    8. 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.
    9. Leng, Biao & Wang, Jianyuan & Zhao, Wenyuan & Xiong, Zhang, 2014. "An extended floor field model based on regular hexagonal cells for pedestrian simulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 119-133.
    10. 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.
    11. 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.
    12. Gao, Jin & He, Jun & Gong, Jinghai, 2020. "A simplified method to provide evacuation guidance in a multi-exit building under emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    13. Zou, Baobao & Lu, Chunxia & Mao, Shirong & Li, Yi, 2020. "Effect of pedestrian judgement on evacuation efficiency considering hesitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    14. Baykal-Gürsoy, Melike & Duan, Zhe & Poor, H. Vincent & Garnaev, Andrey, 2014. "Infrastructure security games," European Journal of Operational Research, Elsevier, vol. 239(2), pages 469-478.
    15. Mei-Ling Xiao & Yao Zhang & Benyu Liu, 2017. "Simulation of primary school-aged children’s earthquake evacuation in rural town," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 87(3), pages 1783-1806, July.
    16. Leng, Biao & Wang, Jianyuan & Xiong, Zhang, 2015. "Pedestrian simulations in hexagonal cell local field model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 532-543.
    17. Yunqiang Xue & Meng Zhong & Luowei Xue & Bing Zhang & Haokai Tu & Caifeng Tan & Qifang Kong & Hongzhi Guan, 2022. "Simulation Analysis of Bus Passenger Boarding and Alighting Behavior Based on Cellular Automata," Sustainability, MDPI, vol. 14(4), pages 1-16, February.
    18. Gao, Jin & Zhang, Jingjing & He, Jun & Gong, Jinghai & Zhao, Jincheng, 2020. "Experiment and simulation of pedestrian’s behaviors during evacuation in an office," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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