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Experiment and multi-grid modeling of evacuation from a classroom

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  • Zhang, Jun
  • Song, Weiguo
  • Xu, Xuan

Abstract

The evacuation process of students from a classroom is investigated by both experiment and modeling. We investigate the video record of the pedestrian movement in the classroom, and find some typical characteristics of the evacuation, including variable velocity, dislocable queuing, monopolizing exit and so on. Based on the experimental observation, we improve the multi-grid model by considering the pre-movement time of each pedestrian, adopting variable velocity and using a new update procedure. With the improved multi-grid model, we simulate the evacuation process and compare the simulation results with the experimental results, and find that they agree with each other closely. In order to analyze the uncertainty of evacuation, we investigate the influences of the pre-movement time and its distribution on the evacuation. It is found that the evacuation times exhibit a (truncated) normal distribution and vary within a region of about 30% of the mean value. An interesting phenomenon is that the evacuation time of the egress experiment is close to the minimum value calculated with the model, due to the coordination among pedestrians during the experiment. The study may be useful in developing applicable egress models and understanding the basic egress behaviors.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:387:y:2008:i:23:p:5901-5909
    DOI: 10.1016/j.physa.2008.06.030
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    References listed on IDEAS

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    1. Tajima, Yusuke & Nagatani, Takashi, 2001. "Scaling behavior of crowd flow outside a hall," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 545-554.
    2. Nagai, Ryoichi & Fukamachi, Masahiro & Nagatani, Takashi, 2005. "Experiment and simulation for counterflow of people going on all fours," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 358(2), pages 516-528.
    3. Tajima, Yusuke & Takimoto, Kouhei & Nagatani, Takashi, 2001. "Scaling of pedestrian channel flow with a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 294(1), pages 257-268.
    4. Dirk Helbing & Illés Farkas & Tamás Vicsek, 2000. "Simulating dynamical features of escape panic," Nature, Nature, vol. 407(6803), pages 487-490, September.
    5. Nagai, Ryoichi & Fukamachi, Masahiro & Nagatani, Takashi, 2006. "Evacuation of crawlers and walkers from corridor through an exit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 449-460.
    6. Nagatani, Takashi, 2001. "Dynamical transition and scaling in a mean-field model of pedestrian flow at a bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 558-566.
    7. Tajima, Yusuke & Takimoto, Kouhei & Nagatani, Takashi, 2002. "Pattern formation and jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 709-723.
    8. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition in two-dimensional pedestrian traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 275(1), pages 281-291.
    9. Song, Weiguo & Xu, Xuan & Wang, Bing-Hong & Ni, Shunjiang, 2006. "Simulation of evacuation processes using a multi-grid model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 492-500.
    10. Muramatsu, Masakuni & Nagatani, Takashi, 2000. "Jamming transition of pedestrian traffic at a crossing with open boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 286(1), pages 377-390.
    11. Isobe, Motoshige & Adachi, Taku & Nagatani, Takashi, 2004. "Experiment and simulation of pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 638-650.
    12. Itoh, Taira & Nagatani, Takashi, 2002. "Optimal admission time for shifting the audience," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 695-708.
    13. Muramatsu, Masakuni & Irie, Tunemasa & Nagatani, Takashi, 1999. "Jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 267(3), pages 487-498.
    14. Kirchner, Ansgar & Schadschneider, Andreas, 2002. "Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(1), pages 260-276.
    15. Takimoto, Kouhei & Tajima, Yusuke & Nagatani, Takashi, 2002. "Effect of partition line on jamming transition in pedestrian counter flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 460-470.
    16. 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.
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