论文标题
动力学交通网络模型及其宏观限制：合并车道
A kinetic traffic network model and its macroscopic limit: merging lanes
论文作者
论文摘要
在本文中，我们提出了针对网络上车辆交通的动力学两个速度模型的耦合条件。这些条件基于对各自道路上的自由空间的考虑。动力学放松系统的宏观极限是经典的标量保护定律。类似于动力学模型边界值问题的渐近极限，我们在这里考虑了完整网络问题的极限，包括节点处的耦合条件。对节点处的界面层的渐近分析以及使用半侵权人问题的匹配程序用于极限保护定律，用于从动力学的网络上为网络上的经典宏观交通模型得出耦合条件。
In this paper we propose coupling conditions for a kinetic two velocity model for vehicular traffic on networks. These conditions are based on the consideration of the free space on the respective roads. The macroscopic limit of the kinetic relaxation system is a classical scalar conservation law for traffic flow. Similar to the asymptotic limit of boundary value problems for kinetic models, we consider here the limit of the full network problem including the coupling conditions at the nodes. An asymptotic analysis of the interface layers at the nodes and a matching procedure using half-Riemann problems for the limit conservation law are used to derive coupling conditions for classical macroscopic traffic models on the network from the kinetic ones.
