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Development of a bidirectional pedestrian stream model with an oblique intersecting angle

机译:具有斜交角的双向行人流模型的开发

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摘要

This paper establishes a mathematical model that can represent the conflicting effects of two pedestrian streams that have an oblique intersecting angle in a large crowd. In a previous paper, a controlled experiment in which two streams of pedestrians were asked to walk in designated directions was used to model the bidirectional pedestrian stream of certain intersecting angles. In this paper, the writers revisit that problem and apply the Bayesian inference method to calibrate an improved model with the controlled experiment data. Pedestrian movement data are also collected from a busy crosswalk by using a video observation approach. The two sets of data are used separately to calibrate the proposed model.With the calibrated model, the relationship between speed, density, and flow is studied in both the reference and conflicting streams, and a prediction is made regarding how these factors affected the interactions of moving pedestrian streams. It is found that the speed of one stream not only decreases with its total density, but also decreases with the ratio of its flow relative to the total flow, i.e., the speed of the pedestrians decreases if their stream changes from themajor to minor stream. It is also observed that the maximum disruption that was induced by pedestrian flow from an intersecting angle occurs when the angle is approximately 135°.
机译:本文建立了一个数学模型,该模型可以表示在大人群中具有倾斜相交角的两个行人流的冲突影响。在以前的论文中,使用了一个受控实验,其中要求两个行人流在指定方向上行走,以对某些相交角的双向行人流进行建模。在本文中,作者重新审视了这个问题,并运用贝叶斯推理方法用受控的实验数据来校准改进的模型。通过使用视频观察方法,还可以从繁忙的人行横道收集行人运动数据。分别使用两组数据来校准所提出的模型。通过校准后的模型,研究了参考流和冲突流中速度,密度和流量之间的关系,并对这些因素如何影响相互作用进行了预测。行人流。已经发现,一条溪流的速度不仅随其总密度而降低,而且随其流量相对于总流量的比值而降低,即如果行人的流量从主要流变为次要流,行人的速度就会降低。还可以观察到,当相交角约为135°时,由相交角引起的行人流引起的最大破坏发生。

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