Discretization effects and the influence of walking speed in cellular automata models for pedestrian dynamics -: art. no. P10011

被引:148
作者
Kirchner, A
Klüpfel, H
Nishinari, K
Schadschneider, A [1 ]
Schreckenberg, M
机构
[1] Univ Cologne, Inst Theoret Phys, D-50923 Cologne, Germany
[2] Univ Duisburg Essen, D-47048 Duisburg, Germany
[3] TraffGo GmbH, D-47058 Duisburg, Germany
[4] Ryukoku Univ, Dept Appl Math & Informat, Shiga, Japan
关键词
cellular automata; driven diffusive systems (theory); stochastic processes; traffic and crowd dynamics;
D O I
10.1088/1742-5468/2004/10/P10011
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study discretization effects in cellular automata models for pedestrian dynamics by reducing the cell size. Then a particle occupies more than one cell which leads to subtle effects in the dynamics, e. g. non-local conflict situations. Results from computer simulations of the floor field model are compared with empirical findings. Furthermore, the influence of increasing the maximal walking speed v(max) is investigated by increasing the interaction range beyond nearest neighbour interactions. The extension of the model to v(max) > 1 turns out to be a severe challenge which can be solved in different ways. Four major variants are discussed that take into account different dynamical aspects. The variation of v(max) has a strong influence on the shape of the flow-density relation. We show that walking speeds v(max) > 1 lead to results which are in very good agreement with empirical data.
引用
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页数:21
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