This paper presents a novel approach to quantitatively analyzing pedestrian congestion in evacuation management based on the Hughes and social force models. An accurate analysis of crowds plays an important role in illustrating their dynamics. However, the majority of the existing approaches to analyzing pedestrian congestion are qualitative. Few methods focus on the quantification of the interactions between crowds and individual pedestrians. According to the proposed approach, analytic tools derived from theoretical mechanics are applied to provide a multiscale representation of such interactions. In particular, we introduce movement constraints that illustrate the macroscopic and microscopic states of crowds. Furthermore, we consider pressure propagation and changes in the position of pedestrians during the evacuation process to improve the accuracy of the analysis. The generalized force caused by the varied density of pedestrians is applied to calculate the final congestion. Numerical simulations demonstrate the validity of the proposed approach.

中文翻译：

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人群动态模型中的拥塞分析方法

本文提出了一种基于 Hughes 和社会力量模型定量分析疏散管理中的行人拥堵的新方法。对人群的准确分析在说明他们的动态方面起着重要作用。然而，大多数现有的分析行人拥堵的方法都是定性的。很少有方法专注于量化人群和个体行人之间的相互作用。根据所提出的方法，应用源自理论力学的分析工具来提供这种相互作用的多尺度表示。特别是，我们引入了运动约束来说明人群的宏观和微观状态。此外，我们考虑了疏散过程中的压力传播和行人位置的变化，以提高分析的准确性。应用由不同密度的行人引起的广义力来计算最终的拥堵。数值模拟证明了所提出方法的有效性。