论文标题
连接车辆的非本地交通流模型的稳定性
Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
论文作者
论文摘要
新兴的连接和自动化车辆技术使车辆能够在广泛的空间范围内感知和处理交通信息。建模连接车辆之间的非本地相互作用并分析其对交通流的影响成为对交通计划者的重要研究问题。本文考虑了在文献中研究的一种特定的非本地LWR模型。该模型假设车辆速度是由非局部空间邻域中的交通密度分布控制的。通过对模型进行稳定分析，我们可以获得在适当的假设下如何利用非局部信息的情况下，非局部交通流量在均匀平衡流周围稳定，所有交通波呈指数式消散。同时，在车辆速度选择中使用非本地信息的不当使用可能导致持续的交通波。这样的结果可以阐明未来的连接和自动化车辆驾驶算法的设计。
The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between connected vehicles and analyzing their impact on traffic flows become important research questions to traffic planners. This paper considers a particular nonlocal LWR model that has been studied in the literature. The model assumes that vehicle velocities are controlled by the traffic density distribution in a nonlocal spatial neighborhood. By conducting stability analysis of the model, we obtain that, under suitable assumptions on how the nonlocal information is utilized, the nonlocal traffic flow is stable around the uniform equilibrium flow and all traffic waves dissipate exponentially. Meanwhile, improper use of the nonlocal information in the vehicle velocity selection could result in persistent traffic waves. Such results can shed light to the future design of driving algorithms for connected and automated vehicles.
