标题： 一个具有两条入口线的交叉口交通流模型的微观推导 显示英文标题

标题： A microscopic derivation of a traffic flow model on a junction with two entry lines

摘要： 我们从离散交通流模型中推导出一个由两个输入分支和一个输出分支组成的网络上的守恒定律。 连续模型是通过让车辆数量趋于无穷大并进行缩放后从离散模型中得到的。 在离散模型中，车辆在每个分支上求解跟随领头车辆的模型。 交汇处的优先规则由一个周期性交通灯给出（由于技术原因，其周期随着缩放趋于无穷大）。 在极限情况下的守恒定律是L1压缩的，并且根据一个与通量以及交通灯在一个分支上“绿灯”的平均时间有关的胚来描述。 显示英文摘要

摘要： We derive a conservation law on a network made of two incoming branches and a single outgoing one from a discrete traffic flow model. The continuous model is obtained from the discrete one by letting the number of vehicles tend to infinity and after scaling. In the discrete model, the vehicles solve a follow-the-leader model on each branch. The priority rule at the junction is given by a timeperiodic traffic light (with a period tending to infinity with the scaling for technical reasons). The conservation law at the limit is L 1 contractive and described in terms of a germ depending on the flux and on the average amount of time the traffic light is ''green'' on a branch.