论文标题
二维多级交通流量模型
A two-dimensional multi-class traffic flow model
论文作者
论文摘要
这项工作的目的是为多个车辆种群引入二维宏观交通模型。从论文[20]开始，提出了一类车辆的二维模型，我们将动力学扩展到一个多类模型，从而导致两个空间维度的保护法系统。除了研究里曼问题外，我们还提出了一种松懈的液化类型离散化方案，通过数值测试恢复了理论结果。我们使用实际数据校准多级模型，并将拟合模型与实际轨迹进行比较。最后，我们测试了模型模拟车辆超车的能力。
The aim of this work is to introduce a two-dimensional macroscopic traffic model for multiple populations of vehicles. Starting from the paper [20], where a two-dimensional model for a single class of vehicles is proposed, we extend the dynamics to a multi-class model leading to a coupled system of conservation laws in two space dimensions. Besides the study of the Riemann problems we also present a Lax-Friedrichs type discretization scheme recovering the theoretical results by means of numerical tests. We calibrate the multi-class model with real data and compare the fitted model to the real trajectories. Finally, we test the ability of the model to simulate the overtaking of vehicles.
