基于静态场的小学生群体疏散策略仿真研究
The Simulation of Evacuation Strategies for Elementary School Students’Group Based on Static Field
DOI: 10.12677/MOS.2018.73020, PDF,    国家自然科学基金支持
作者: 白洋, 耿中飞, 白雪岑, 李兴莉:太原科技大学,应用科学学院,山西 太原
关键词: 行人流小学生群体静态场元胞自动机疏散策略Pedestrian Flow Elementary School Students’ Group Static Field Cellular Automata Evacuation Strategies
摘要: 本文以单出口含障碍物的报告厅为背景,建立了包含不同静态场和疏散策略的小学生群体紧急疏散元胞自动机模型。数值模拟探讨了在不同疏散策略下剩余学生数量、移动学生所占比例及出口流量与时间的关系,并对典型时空动力学特性进行了讨论。结果表明:最大限度地利用桌椅之间的过道,尽可能避免行人在选择最短路径时产生拥挤,将显著提高疏散效率。
Abstract: As for a lecture hall with single exit, a cellular automata model for the elementary school students’ group with consideration of different evacuation strategies and static field is set up. The numerical simulation is performed to study the relationship between the number of remaining students, the percentage of moving students, and the outflow at the exit with time step. The results show that to maximize the use of the aisle near the chairs and to avoid the jamming when pedestrians select the shortest route will have a significant influence on improving evacuation efficiency.
文章引用:白洋, 耿中飞, 白雪岑, 李兴莉. 基于静态场的小学生群体疏散策略仿真研究[J]. 建模与仿真, 2018, 7(3): 164-172. https://doi.org/10.12677/MOS.2018.73020

参考文献

[1] Helbing, D. (2000) Traffic and Related Self-Driven Many-Particle Systems. Physics, 73, 1067-1141.
[2] Henderson, L.F. (1971) The Statistics of Crowd Fluids. Nature, 229, 381-383. [Google Scholar] [CrossRef] [PubMed]
[3] Hoogendoorn, S.P. (2015) Continuum Theory for Pedestrian Traffic Flow: Local Mute Choice Modelling and Its Implications. Transpoitaion Research Pact C, 59, 183-197. [Google Scholar] [CrossRef
[4] Helbing, D. and Molnár, P. (1995) Social Force Model for Pedestrian Dynamics. Physical Review E Statistical Physics Plasmas Fluids & Related Interdisciplinary Topics, 51, 4282. [Google Scholar] [CrossRef
[5] Helbing, D., Farkas, I. and Vicsek, T. (2000) Simulating Dynamical Features of Escape Panic. Nature, 407, 487-490. [Google Scholar] [CrossRef] [PubMed]
[6] Chraibi, M., Seyfried, A. and Schadschneider, A. (2010) Generalized Centrifugal-Force Model for Pedestrian Dynamics. Physical Review E Statistical Nonlinear & Soft Matter Physics, 82, Article ID: 046111. [Google Scholar] [CrossRef
[7] Burstedde, C., Klauck, K., Schadschneider, A., et al. (2001) Simulation of Pedestrian Dynamics Using a Two-Dimensional Cellular Automaton. Physica A Statistical Mechanics & Its Applications, 295, 507-525. [Google Scholar] [CrossRef
[8] Kirchner, A. and Schadschneider, A. (2002) Simulation of Evacuation Processes Using a Bionics-Inspired Cellular Automaton Model for pedestrian Dynamics. Physica A Statistical Mechanics & Its Ap-plications, 312, 260-276. [Google Scholar] [CrossRef
[9] Zhang, P., Jian, X.X., Wong, S.C., et al. (2012) Potential Field Cellular Automata Model for Pedestrian Flow. Physical Review E Statistical Nonlinear & Soft Matter Physics, 85, Article ID: 021119. [Google Scholar] [CrossRef
[10] Jian, X.X., Wong, S.C., Zhang, P., et al. (2014) Perceived Cost Potential Field Cellular Automata Model with an Aggregated Force Field for Pedestrian Dynamics. Transportation Research Part C Emerging Technologies, 42, 200-210. [Google Scholar] [CrossRef
[11] Tajima, Y. and Nagatani, T. (2001) Scaling Behavior of Crowd Flow Outside a Hall. Physica A Statistical Mechanics & Its Applications, 292, 545-554. [Google Scholar] [CrossRef
[12] Helbing, D., Isobe, M., Nagatani, T., et al. (2003) Lattice Gas Simulation of Experimentally Studied Evacuation Dynamics. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 67, Article ID: 067101. [Google Scholar] [CrossRef
[13] Kuang, H., Li, X., Song, T., et al. (2008) Analysis of Pedestrian Dynamics in Counter Flow via an Extended Lattice Gas Model. Physical Review E Statistical Nonlinear & Soft Matter Physics, 78, Article ID: 066117. [Google Scholar] [CrossRef
[14] 周金旺, 邝华, 刘慕仁, 孔令江. 成对行为对行人疏散动力学的影响研究[J]. 物理学报, 2009, 58(5): 3001-3007.
[15] 田西柱. 基于从众心理的元胞自动机模型[J]. 物联网技术, 2014, 4(4): 83+87.
[16] 岳昊. 基于元胞自动机的行人流仿真模型研究[D]: [博士学位论文]. 北京: 北京交通大学, 2009.
[17] 尹雪清. 考虑出口区域属性的行人疏散模拟研究[D]: [硕士学位论文]. 呼和浩特: 内蒙古大学, 2014.
[18] 李圣男. 基于区块划分元胞自动机模型的行人疏散建模与仿真[D]: [硕士学位论文]. 北京: 北京交通大学, 2015.
[19] 菅肖霞. 基于数学和物理机理分析的行人流费用势场元胞自动机模型[D]: [博士学位论文]. 上海: 上海大学, 2013.