Research on the long tail distribution of pedestrian flow at signalized intersections

L. Cheng, Zirong Ren, Chenhao Zhang, Peng Zhang, Maocan Song
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Abstract

Pedestrian crossing at signal-controlled intersections is a hot and challenging problem in slow traffic research. On the one hand, the signal-controlled intersection is a typical mixed traffic environment where pedestrians crossing the street as well as vehicles, will constantly conflict and threaten road traffic safety. On the other hand, compared with other parts, the tail of pedestrian flow occupies a large amount of intersections’ space and time resources, which greatly hinders the passage of right-turning vehicles. Therefore, it is significant to study the characteristics of pedestrian crossing, especially the characteristics of the tail of pedestrian flow crossing at the intersections. It can not only enrich relevant research and provide reference for optimizing the timing of intersection signals, but also improve the pedestrian crossing environment and alleviating traffic congestion. In this paper, the video data of the intersection of Yanta North Road and Jianxi Street, the intersection of Xiaozhai West Road and Hanguang Road, as well as the intersection of Keji Second Road and Taibai South Road were collected by UAV. The track data of pedestrians and vehicles were extracted by OpenCV, YoloV3 and DeepSort. The pedestrian quantity-time curve was plotted for single one way and multiple two-way street crossings. It is found that there is a good fitting effect between the curve and one-dimensional Gaussian function. Based on this, the actual speed and average waiting time of right-turning vehicles passing the crosswalk are compared respectively under the long tail distribution of different significance degrees. The result shows the long tail distribution of pedestrian crossing can obviously reduce the speed of right-turning vehicles and prolong the average waiting time.
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信号交叉口行人流长尾分布研究
信号控制交叉口行人过路是慢速交通研究中的热点和难点问题。一方面,信号控制交叉口是典型的混合交通环境,行人和车辆在过马路时会不断发生冲突,威胁道路交通安全。另一方面,与其他部分相比,行人流尾部占用了大量的交叉口空间和时间资源,极大地阻碍了右转车辆的通行。因此,研究人行横道的特性,特别是十字路口人行横道尾部的特性具有重要意义。不仅可以丰富相关研究,为优化交叉口信号配时提供参考,还可以改善行人过街环境,缓解交通拥堵。本文采用无人机采集了雁塔北路与建西街交叉口、小寨西路与汉光路交叉口、科技二路与太白南路交叉口的视频数据。行人和车辆的轨迹数据通过OpenCV、YoloV3和DeepSort进行提取。绘制了单行道和多个双行道交叉口的行人数量-时间曲线。结果表明,该曲线与一维高斯函数具有良好的拟合效果。在此基础上,分别比较了不同显著度长尾分布下右转车辆通过人行横道的实际速度和平均等待时间。结果表明,人行横道的长尾分布可以明显降低右转车辆的速度,延长平均等待时间。
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