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arXiv physics/0507178physics.soc-ph
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人车交叉流振荡的解析研究

Analytical investigation of oscillations in intersecting flows of pedestrian and vehicle traffic

Dirk Helbing, Rui Jiang, Martin Treiber

摘要:

在两个相交的多粒子流中,经常可以发现振荡模式的出现。在这里,我们调查的相互作用的行人与车辆,当他们试图过马路。在以前的论文中,已经提出了这种耦合的车辆-车辆延迟问题的数值研究。在这里,我们专注于分析处理的问题,这需要使用一个简化的跟驰模型。我们的分析结果的相变振荡的行人和交通流量和平均等待时间得到了很好的支持数值评估,并给出了详细的图片时出现的集体动态行人试图过马路。数学表达式允许识别模型参数的依赖性,如车辆或行人到达率,以及行人间隙接受的安全系数。我们还计算了一个公式的车辆的时间间隔分布,这对应于离开时间分布的M/D/1队列。

英文摘要:

In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they try to cross a road. A numerical study of this coupled pedestrian-vehicle delay problem has been presented in a previous paper. Here, we focus on the analytical treatment of the problem, which requires to use a simplified car-following model. Our analytical results for the phase transition to oscillatory pedestrian and traffic flows and the average waiting times are well supported by numerical evaluations and give a detailed picture of the collective dynamics emerging when pedestrians try to cross a road. The mathematical expressions allow one to identify the dependence on model parameters such as the vehicle or pedestrian arrival rate, and the safety factor of pedestrian gap acceptance. We also calculate a formula for the vehicle time gap distribution, which corresponds to the departure time distribution of a M/D/1 queue.

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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