考虑摩擦和排斥的元胞自动机疏散模型

Weiguo Song, Yanfei Yu, W. Fan, Heping Zhang
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引用次数: 56

摘要

在疏散过程中,行人与行人之间、行人与环境之间存在着相互作用。这些相互作用包括吸引、排斥和摩擦,它们在人类的疏散行为、速度和效率中起着关键作用。以往的疏散模型大多集中在引力上,而排斥和摩擦力没有得到很好的模拟。近年来引入的社会力模型作为一种多粒子自驱动模型,能够表示这三种力,但由于其是一个规则复杂的连续模型,仿真效率较低。元胞自动机模型和晶格气体模型等离散模型规则简单,仿真效率高,但不太适合相互作用的仿真。本文在传统元胞自动机模型的基础上,提出了一种新的元胞自动机模型,将斥力和摩擦力定量建模。结果表明,该模型可以像多粒子自驱动模型那样模拟疏散过程中的一些基本行为,如拱和“越快越慢”现象,但与普通元胞自动机模型和晶格气体模型相比,具有较高的效率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A cellular automata evacuation model considering friction and repulsion
There exist interactions among pedestrians and between pedestrian and environment in evacuation. These interactions include attraction, repulsion and friction that play key roles in human evacuation behaviors, speed and efficiency. Most former evacuation models focus on the attraction force, while repulsion and friction are not well modeled. As a kind of multi-particle self-driven model, the social force model introduced in recent years can represent those three forces but with low simulation efficiency because it is a continuous model with complex rules. Discrete models such as the cellular automata model and the lattice gas model have simple rules and high simulation efficiency, but are not quite suitable for interactions’ simulation. In this paper, a new cellular automata model based on traditional models is introduced in which repulsion and friction are modeled quantitatively. It is indicated that the model can simulate some basic behaviors, e.g. arching and the “faster-is-slower” phenomenon, in evacuation as multi-particle self-driven models, but with high efficiency as the normal cellular automata model and the lattice gas model.
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