论文标题
多车道多级流量的混合系统的平均场限制
Mean-field limit of a hybrid system for multi-lane multi-class traffic
论文作者
论文摘要
本文旨在研究耦合的平均场方程，并与由车辆交通流动的离散事件一起研究。确切地说，在存在人类驱动和自动驾驶汽车的情况下，多车道的交通流量可能受到外部政策制定者的影响。首先，基于连续的Bando-follow-the-Leader动力学以及由于车道变化的操作，开发了有限维混合系统。然后，对于人类驱动车辆的动力学，有限维混合系统的平均场限制是严格得出的。人类驱动车辆的微观巷道操纵者为平均场PDE产生源术语。这导致了无限二维杂种系统，该系统由耦合的vlasov型PDE，ODES和离散事件描述。
This article aims to study coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow. Precisely, multi-lane traffic flow in presence of human-driven and autonomous vehicles is considered, with the autonomous vehicles possibly influenced by external policy makers. First a finite-dimensional hybrid system is developed based on the continuous Bando-Follow-the-Leader dynamics coupled with discrete events due to lane-change maneuvers. Then the mean-field limit of the finite-dimensional hybrid system is rigorously derived for the dynamics of the human-driven vehicles. The microscopic lane-change maneuvers of the human-driven vehicles generates a source term to the mean-field PDE. This leads to an infinite-dimensional hybrid system, which is described by coupled Vlasov-type PDE, ODEs and discrete events.
