Influence of coarse toll on the dynamic properties of traffic flow in a single-entry traffic corridor

Influence of coarse toll on the dynamic properties of traffic flow in a single-entry traffic corridor
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粗收费对单入口交通走廊交通流动态特性的影响

DOI:
10.1016/j.physa.2019.122316
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发表时间:
2019-11
期刊:
Physica A
影响因子:
--
通讯作者:
孙琪佳
孙琪佳
中科院分区:
其他
文献类型:
--
作者:
李传耀;孙琪佳

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本文从解析和数值的角度研究了粗收费对早、晚到单通道交通走廊用户均衡状态的影响。与以往关于交通收费的研究不同,流量拥堵模型被用来考虑交通流量的动态传播。采用Lighthill-Whitham-Richards(Lighthill-Whitham-Richards)模型和格林希尔兹速度密度函数来描述交通流的动态特性。推导了UE中三种可能情况下不同电荷作用下的准解析解。分析和数值结果均表明,在粗收费条件下,走廊内会出现稀疏波和激波。交通流的三维演变图和时空图说明,收费路线的引入使交通流态更加复杂。这扩展了经典瓶颈模型所提供的知识。
In this paper, we investigate the effects of coarse toll on the user equilibrium (UE) state in a single-entry traffic corridor with early and late arrivals from analytical and numerical perspective. Unlike previous studies on traffic tolls, the flow congestion model is used to take into account the dynamic propagation of traffic flow. The LWR (Lighthill–Whitham–Richards) model and the Greenshields’ velocity–density function are used to describe the dynamic properties of traffic flow. The quasi-analytic solutions of the three possible cases in UE due to different charges are derived. Both analytical and numerical results indicate that rarefaction waves and shock waves appear in the corridor under the coarse toll. The three-dimensional evolution diagrams of traffic flow and space–time diagrams illustrate that the introduction of course toll lets flow patterns more complicated. This extends the knowledge given by the classical bottleneck model.
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