论文标题
车辆交通流的宏观多车道模型的推导和稳定性分析
Derivation and stability analysis of macroscopic multi-lane models for vehicular traffic flow
论文作者
论文摘要
考虑了宏观量表中多车道流量的数学建模和稳定性分析。我们提出了一个新的一阶模型，该模型从微观动力学中得出，车道变化，从而导致双曲线平衡定律的耦合系统。宏观极限是在不假定临时空间和时间尺度的情况下得出的。讨论了模型平衡的稳定性分析。提出的数值测试证实了宏观和微观建模之间的理论发现以及稳定性分析的结果。
The mathematical modeling and the stability analysis of multi-lane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynamics with lane changing, leading to a coupled system of hyperbolic balance laws. The macroscopic limit is derived without assuming ad hoc space and time scalings. The analysis of the stability of the equilibria of the model is discussed. The proposed numerical tests confirm the theoretical findings between the macroscopic and microscopic modeling, and the results of the stability analysis.
