Multiclass first-order simulation model to explain non-linear traffic phenomena
Multiclass first-order simulation model to explain non-linear traffic phenomena
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DOI：
10.1016/j.physa.2007.07.041
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发表时间：
2007-11
影响因子：
3.3
通讯作者：
D. Ngoduy;Ronghui Liu
中科院分区：
文献类型：
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作者：
D. Ngoduy;Ronghui Liu
利用 Lighthill、Whitham 和 Richard (LWR) 的一阶交通模型，可以解析地表示许多简单的交通问题，例如激波形成。然而，LWR模型也存在一些缺陷。例如，除其他外，当异构流量中存在所需速度的分布时，它无法复制有趣的非线性现象，例如滞后和容量下降以及流量排的分散。为此，在本文中，我们提出了一种基于黎曼求解器近似的新型多类一阶仿真模型。在开发的模型中，每种车辆类别仅以其在允许超车的自由流动交通状态下的期望速度为特征。然而，当交通拥堵时，所有类别的车辆必须以相同的拥堵速度行驶，并且不可能超车。数值结果表明，该模型不仅比现有模型更加准确和可靠，而且能够解释高速公路上的非线性交通现象。
With the first-order traffic model of Lighthill, Whitham and Richard (LWR), many simple traffic problems can be represented analytically such as a shock formation. However, the LWR model has some deficiencies. For example, among the other things, it fails to replicate interesting non-linear phenomena such as hysteresis and capacity drop as well as the dispersion of traffic platoon when there exists a distribution of desired speeds in heterogeneous traffic. To this end, in this paper, we propose a novel multiclass first-order simulation model based on an approximation of Riemann solver. In the developed model, each vehicle class is only characterized by their desired speeds in a free-flow traffic state where overtaking is allowed. However, when traffic is congested, all vehicle classes must travel at the same congested speed and overtaking is not possible. Numerical results show that the proposed model is not only more accurate and reliable than the existing models but also able to explain non-linear traffic phenomena on freeways.