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Small-grid analysis of discrete model for evacuation from a hall

Author

Listed:
  • Weng, W.G.
  • Pan, L.L.
  • Shen, S.F.
  • Yuan, H.Y.

Abstract

In this paper, small-grid analysis of discrete model is described, and simulation that some walkers leave a hall is carried out to check the effects of different desired walk velocities with the same walk time at a time step, and different numbers of small grid at a time step with the same desired walk velocity, on the evacuation time. The simulation results show that small-grid analysis have reproduced some typical phenomena of evacuation, including jam, block and faster-is-slower, etc. as good as the continuum model, i.e., the social force model, but with high simulation efficiency. In addition, the power-law distribution of evacuation flow duration and block duration with the different desired walk velocities is found. The block duration with different numbers of small grid at a time step also takes on power-law characteristics, only their intercepts in log–log coordinates are different.

Suggested Citation

  • Weng, W.G. & Pan, L.L. & Shen, S.F. & Yuan, H.Y., 2007. "Small-grid analysis of discrete model for evacuation from a hall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 821-826.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:821-826
    DOI: 10.1016/j.physa.2006.08.003
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    Citations

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    Cited by:

    1. Guo, Ren-Yong & Huang, Hai-Jun & Wong, S.C., 2012. "Route choice in pedestrian evacuation under conditions of good and zero visibility: Experimental and simulation results," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 669-686.
    2. Guo, Ning & Hu, Mao-Bin & Jiang, Rui, 2017. "Impact of variable body size on pedestrian dynamics by heuristics-based model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 109-114.
    3. Huang, Rong & Zhao, Xuan & Zhou, Chenyu & Kong, Lingchen & Liu, Chengqing & Yu, Qiang, 2022. "Static floor field construction and fine discrete cellular automaton model: Algorithms, simulations and insights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    4. Fang, Zhiming & Song, Weiguo & Zhang, Jun & Wu, Hao, 2010. "Experiment and modeling of exit-selecting behaviors during a building evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(4), pages 815-824.
    5. 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.
    6. 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.
    7. Fang, Shuyi & Jin, Cheng-Jie & Jiang, Rui & Li, Dawei, 2024. "Simulating the bi-directional pedestrian flow under high densities by a floor field cellular automaton model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    8. Guo, Ren-Yong, 2014. "New insights into discretization effects in cellular automata models for pedestrian evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 1-11.
    9. 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.
    10. 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.
    11. Kaji, Masaru & Inohara, Takehiro, 2017. "Cellular automaton simulation of unidirectional pedestrians flow in a corridor to reproduce the unique velocity profile of Hagen–Poiseuille flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 85-95.
    12. Wang, Qiao & Song, Weiguo & Zhang, Jun & Wang, Shujie & Wu, Chunlin & Lo, Siuming, 2019. "Understanding single-file movement with ant experiments and a multi-grid CA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 1-13.
    13. 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.
    14. Fang, Zhi-Ming & Song, Wei-Guo & Liu, Xuan & Lv, Wei & Ma, Jian & Xiao, Xia, 2012. "A continuous distance model (CDM) for the single-file pedestrian movement considering step frequency and length," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 307-316.
    15. Tang, Ming & Jia, Hongfei & Ran, Bin & Li, Jun, 2016. "Analysis of the pedestrian arching at bottleneck based on a bypassing behavior model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 242-258.
    16. 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.

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