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Discretization effect in a multi-grid egress model

Author

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  • Xu, X.
  • Song, W.G.
  • Zheng, H.Y.

Abstract

In the traditional egress model based on cellular automata, building spaces are divided into discrete grids, the size of which is usually as large as that of a pedestrian. In order to explore the influences of the grid size on the evacuation results, we studied the evacuation process using a multi-grid egress model. In the multi-grid model, a finer grid is used and each pedestrian occupies n×n basic grids. It is found that if the pedestrian always moves one grid at each time step, the evacuation time increases with the decrease of the grid size, and reaches a stable, grid-independent value when the grid size is small enough. Another factor which influences the evacuation results is the length of the time step. It is found that with the increasing length of the time step, the evacuation time has a tendency to increase but endures complex changes. The differences between the single-grid model and multi-grid model may be due to two main reasons. First, in the multi-grid model, the pedestrians are out of alignment so that there are patches of unusable empty spaces as they are smaller in size than a pedestrian. Second, in the multi-grid model, pedestrians tend to reach the exit at the same time, leading to more serious conflicts among pedestrians.

Suggested Citation

  • Xu, X. & Song, W.G. & Zheng, H.Y., 2008. "Discretization effect in a multi-grid egress model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5567-5574.
  • Handle: RePEc:eee:phsmap:v:387:y:2008:i:22:p:5567-5574
    DOI: 10.1016/j.physa.2008.05.058
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    Citations

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    Cited by:

    1. 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).
    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. Zhao, Ruifeng & Zhai, Yue & Qu, Lu & Wang, Ruhao & Huang, Yaoying & Dong, Qi, 2021. "A continuous floor field cellular automata model with interaction area for crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    4. 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.
    5. 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.
    6. 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.
    7. Liu, Xuan & Song, Weiguo & Zhang, Jun, 2009. "Extraction and quantitative analysis of microscopic evacuation characteristics based on digital image processing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2717-2726.
    8. 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.
    9. 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.
    10. Cao, Shuchao & Fu, Libi & Song, Weiguo, 2018. "Exit selection and pedestrian movement in a room with two exits under fire emergency," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 136-147.
    11. Fu, Zhijian & Xiong, Xingwen & Luo, Lin & Yang, Yunjia & Feng, Yujing & Chen, Hua, 2022. "Influence of rotation on pedestrian flow considering bipedal features: Modeling using a fine discrete floor field cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

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