arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1908.10304physics.soc-ph
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行人动力学的广义无碰撞速度模型

Generalized collision-free velocity model for pedestrian dynamics

Qiancheng Xu, Mohcine Chraibi, Antoine Tordeux, Jun Zhang

摘要:

无碰撞速度模型是一个微观的行人模型,尽管它的简单,相当好地再现了行人动力学中的几个自组织现象。该模型由两个部分组成:一个方向子模型,结合个人所需的移动方向和邻居的影响,以模仿在二维空间中的导航过程,和一个本质上无碰撞的速度子模型,控制相对于他们的邻居的距离代理的速度。在本文中,我们推广了无碰撞速度模型,通过引入墙壁的影响和扩展的距离计算速度为基础的椭圆。此外,我们引入了方向子模块的增强功能,使模拟中行人的方向变化变得平滑;由于圆形形状的对称性,这一缺点在原始模型中不可见。此外,引入的改进减轻了向后移动,导致行人分布更真实,特别是在瓶颈场景中。通过仿真研究了行人形状对窄、宽走廊基本图形的影响。此外,我们通过研究不同出口宽度的瓶颈来验证我们的广义方法。

英文摘要:

The collision-free velocity model is a microscopic pedestrian model, which despite its simplicity, reproduces fairly well several self-organization phenomena in pedestrian dynamics. The model consists of two components: a direction sub-model that combines individual desired moving direction and neighbor's influence to imitate the process of navigating in a two-dimensional space, and an intrinsically collision-free speed sub-model which controls the speed of the agents with respect to the distance to their neighbors. In this paper we generalize the collision-free velocity model by introducing the influence of walls and extending the distance calculations to velocity-based ellipses. Besides, we introduce enhancements to the direction sub-module that smooth the direction changes of pedestrians in the simulation; a shortcoming that was not visible in the original model due to the symmetry of the circular shapes. Moreover, the introduced improvements mitigate backward movements, leading to a more realistic distribution of pedestrians especially in bottleneck scenarios. We study by simulation the effects of the pedestrian's shape by comparing the fundamental diagram in narrow and wide corridors. Furthermore, we validate our generalized approach by investigating the flow through bottlenecks with varying exit's widths.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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