In the present work, we model the multi-lane traffic flow in presence of two populations of vehicles: cars and trucks. We first develop a finite-dimensional hybrid system which relies on continuous Bando-Follow-the-Leader dynamics coupled with discrete events motivated by the lane-change maneuvers. Then we rigorously prove that the mean-field limit is given by a system of Vlasov-type PDE with source terms generated by the lane-change maneuvers of the human-driven vehicles.
Mean-field limit of a hybrid system for multi-lane car-truck traffic
Xiaoqian Gong, Arizona State UniversityAuthors: Maria Teresa Chiri; Xiaoqian Gong ; Benedetto Piccoli
2022 AWM Research Symposium
New Trends in Mathematical Models for Traffic Flow