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

被引:56
作者
Weng, W. G. [1 ]
Pan, L. L. [1 ]
Shen, S. F. [1 ]
Yuan, H. Y. [1 ]
机构
[1] Tsinghua Univ, Dept Engn Phys, Ctr Publ Safety Res, Beijing 100084, Peoples R China
关键词
small grid; discrete model; evacuation;
D O I
10.1016/j.physa.2006.08.003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:821 / 826
页数:6
相关论文
共 16 条
[1]   Simulation of pedestrian dynamics using a two-dimensional cellular automaton [J].
Burstedde, C ;
Klauck, K ;
Schadschneider, A ;
Zittartz, J .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 295 (3-4) :507-525
[2]   Simulating dynamical features of escape panic [J].
Helbing, D ;
Farkas, I ;
Vicsek, T .
NATURE, 2000, 407 (6803) :487-490
[3]   Traffic and related self-driven many-particle systems [J].
Helbing, D .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :1067-1141
[4]   Discretization effects and the influence of walking speed in cellular automata models for pedestrian dynamics -: art. no. P10011 [J].
Kirchner, A ;
Klüpfel, H ;
Nishinari, K ;
Schadschneider, A ;
Schreckenberg, M .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,
[5]   Simulation of evacuation processes using a bionics-inspired cellular automaton model for pedestrian dynamics [J].
Kirchner, A ;
Schadschneider, A .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 312 (1-2) :260-276
[6]   Effects of back step and update rule on congestion of mobile objects [J].
Maniccam, S .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 346 (3-4) :631-650
[7]   Jamming transition in two-dimensional pedestrian traffic [J].
Muramatsu, H ;
Nagatani, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 275 (1-2) :281-291
[8]   Jamming transition in pedestrian counter flow [J].
Muramatsu, M ;
Irie, T ;
Nagatani, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1999, 267 (3-4) :487-498
[9]   Jamming transition of pedestrian traffic at a crossing with open boundaries [J].
Muramatsu, M ;
Nagatani, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 286 (1-2) :377-390
[10]   The physics of traffic jams [J].
Nagatani, T .
REPORTS ON PROGRESS IN PHYSICS, 2002, 65 (09) :1331-1386