Continuum modelling of pedestrian flows: From microscopic principles to self-organised macroscopic phenomena
Continuum modelling of pedestrian flows: From microscopic principles to self-organised macroscopic phenomena
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DOI：
10.1016/j.physa.2014.07.050
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发表时间：
2014-12
影响因子：
3.3
通讯作者：
S. Hoogendoorn;F. Wageningen-Kessels;W. Daamen;D. Duives
中科院分区：
文献类型：
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作者：
S. Hoogendoorn;F. Wageningen-Kessels;W. Daamen;D. Duives
行人流的动态可以在连续体建模框架中捕获。然而，与车流相比，这是一项更具挑战性的任务。特别是流传播和路径选择的集成已知是有问题的。此外，行人流具有不同的自组织现象的特点，例如动态车道和对角线条纹的形成，这些现象尚未在连续体建模框架中捕获。该贡献提出了一种新颖的多类连续体模型，该模型捕获了行人流的一些关键特征。它考虑战略（旅行前）和战术（途中）层面的路径选择行为。为了实现这一目标，我们提出了一种从微观步行者模型（在本例中为社会力量模型）导出连续体模型的方法。在此过程中，我们表明社会力量模型中存在的相互作用项在平衡速度中引入了局部路径选择分量。推导模型后，我们通过数学分析和模拟研究来分析其属性。这揭示了模型的一般行为，以及模型再现自组织结构和相变的能力。据我们所知，这是第一个能够重现这些自组织结构的连续模型。
The dynamics of pedestrian flows can be captured in a continuum modelling framework. However, compared to vehicular flow, this is a much more challenging task. In particular the integration of flow propagation and path choice are known to be problematic. Furthermore, pedestrian flow is characterised by different self-organised phenomena, such as the formation of dynamic lanes and diagonal stripes, which have not yet been captured in a continuum modelling framework.This contribution puts forward a novel multi-class continuum model that captures some of the key features of pedestrian flows. It considers path choice behaviour on both the strategic (pre-trip) and tactical (en-route) level. To achieve this, we present a methodology to derive a continuum model from a microscopic walker model, in this case the social forces model. In doing so, we show that the interaction term present in the social forces model introduces a local path choice component in the equilibrium velocity.Having derived the model, we analyse its properties both by means of mathematical analyses and simulation studies. This reveals the general behaviour of the model, as well as the ability of the model to reproduce self-organised structures, and phase transitions. To the best of our knowledge, this is the first continuum model that is able to reproduce these self-organised structures.