Calculus of Variations and Geometric Measure Theory

M. T. Chiri - X. Gong - B. Piccoli

Mean-Field Limit of a Hybrid System for Multi-Lane Car-Truck Traffic

created by chiri on 10 Feb 2022
modified on 04 Jan 2024

[BibTeX]

Published Paper

Inserted: 10 feb 2022
Last Updated: 4 jan 2024

Journal: Netw. Heterog. Media
Year: 2023

Abstract:

In the present work we model multi-lane traffic flow in presence of two population of vehicles: cars and trucks. We first develop a finite-dimensional hybrid system which rely 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.


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