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Spatio-temporal distribution of escape time in evacuation process

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  • Takimoto, Kouhei
  • Nagatani, Takashi

Abstract

We study the escape-time distribution of crowd in the evacuation process through an exit from a hall. The evacuation process is simulated by the use of the lattice-gas model of pedestrian. The spatio-temporal distribution of escape time is derived. The escape time of a person depends highly on the position where the person exists initially within the hall. The dependences of the mean value and variance of escape time on the position are calculated. It is shown that the mean escape time exhibits a highest value at the front edges. The variance of escape time has a highest value at both positions just next door to the exit. The dependence of escape time on the exit width is also shown. It is found that the escape time exhibits a wide distribution depending on the initial position of people and the exit width.

Suggested Citation

  • Takimoto, Kouhei & Nagatani, Takashi, 2003. "Spatio-temporal distribution of escape time in evacuation process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 611-621.
    • Handle: RePEc:eee:phsmap:v:320:y:2003:i:c:p:611-621
    DOI: 10.1016/S0378-4371(02)01540-6
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    Citations

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    Cited by:

    1. Sun, Yi, 2020. "Kinetic Monte Carlo simulations of bi-direction pedestrian flow with different walk speeds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    2. Tianran Han & Jianming Zhao & Wenquan Li, 2020. "Smart-Guided Pedestrian Emergency Evacuation in Slender-Shape Infrastructure with Digital Twin Simulations," Sustainability, MDPI, vol. 12(22), pages 1-18, November.
    3. Miyagawa, Daiki & Ichinose, Genki, 2020. "Cellular automaton model with turning behavior in crowd evacuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    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. Srinivasan, Aravinda Ramakrishnan & Karan, Farshad Salimi Naneh & Chakraborty, Subhadeep, 2017. "Pedestrian dynamics with explicit sharing of exit choice during egress through a long corridor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 770-782.
    6. 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.
    7. Mohd Ibrahim, Azhar & Venkat, Ibrahim & Wilde, Philippe De, 2017. "Uncertainty in a spatial evacuation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 485-497.
    8. 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.

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