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A heterogeneous lattice gas model for simulating pedestrian evacuation

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  • Guo, Xiwei
  • Chen, Jianqiao
  • Zheng, Yaochen
  • Wei, Junhong

Abstract

Based on the cellular automata method (CA model) and the mobile lattice gas model (MLG model), we have developed a heterogeneous lattice gas model for simulating pedestrian evacuation processes in an emergency. A local population density concept is introduced first. The update rule in the new model depends on the local population density and the exit crowded degree factor. The drift D, which is one of the key parameters influencing the evacuation process, is allowed to change according to the local population density of the pedestrians. Interactions including attraction, repulsion, and friction between every two pedestrians and those between a pedestrian and the building wall are described by a nonlinear function of the corresponding distance, and the repulsion forces increase sharply as the distances get small. A critical force of injury is introduced into the model, and its effects on the evacuation process are investigated. The model proposed has heterogeneous features as compared to the MLG model or the basic CA model. Numerical examples show that the model proposed can capture the basic features of pedestrian evacuation, such as clogging and arching phenomena.

Suggested Citation

  • Guo, Xiwei & Chen, Jianqiao & Zheng, Yaochen & Wei, Junhong, 2012. "A heterogeneous lattice gas model for simulating pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 582-592.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:3:p:582-592
    DOI: 10.1016/j.physa.2011.07.055
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    2. Cao, Shuchao & Song, Weiguo & Lv, Wei & Fang, Zhiming, 2015. "A multi-grid model for pedestrian evacuation in a room without visibility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 45-61.
    3. Guo, Xiwei & Chen, Jianqiao & You, Suozhu & Wei, Junhong, 2013. "Modeling of pedestrian evacuation under fire emergency based on an extended heterogeneous lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 1994-2006.
    4. Yu Song & Jia Liu & Qian Liu, 2021. "Dynamic Decision-Making Process of Evacuees during Post-Earthquake Evacuation near an Automatic Flap Barrier Gate System: A Broken Windows Perspective," Sustainability, MDPI, vol. 13(16), pages 1-19, August.
    5. Jie Xu & Yao Ning & Heng Wei & Wei Xie & Jianyuan Guo & Limin Jia & Yong Qin, 2015. "Route Choice in Subway Station during Morning Peak Hours: A Case of Guangzhou Subway," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-8, March.
    6. Cirillo, Emilio N.M. & Muntean, Adrian, 2013. "Dynamics of pedestrians in regions with no visibility— A lattice model without exclusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3578-3588.
    7. Li, Jun & Fu, Siyao & He, Haibo & Jia, Hongfei & Li, Yanzhong & Guo, Yi, 2015. "Simulating large-scale pedestrian movement using CA and event driven model: Methodology and case study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 304-321.
    8. Hou, Lei & Liu, Jian-Guo & Pan, Xue & Wang, Bing-Hong, 2014. "A social force evacuation model with the leadership effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 93-99.
    9. Liu, Qian, 2018. "A social force model for the crowd evacuation in a terrorist attack," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 315-330.
    10. Zhang, Zhao & Fu, Daocheng, 2022. "Modeling pedestrian–vehicle mixed-flow in a complex evacuation scenario," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
    11. 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.
    12. Wu, Jie & Wang, Xiuling & Chen, Jinjin & Shu, Gang & Li, Ya, 2015. "The position of a door can significantly impact on pedestrians’ evacuation time in an emergency," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 29-35.

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