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Networks and Heterogeneous Media

2023, Volume 18, Issue 2: 723-752. doi: 10.3934/nhm.2023031
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Mean-field limit of a hybrid system for multi-lane car-truck traffic

  • 1.
    Department of Mathematics and Statistics, Queen's University, Kingston, ON K7L 3N6, Canada
  • 2.
    School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, USA
  • 3.
    Department of Mathematical Sciences and Center for Computational and Integrative Biology, Rutgers University, Camden, NJ, USA
  • Received: 01 September 2021 Revised: 30 May 2022 Accepted: 11 January 2023 Published: 24 February 2023

  • 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.

    Citation: Maria Teresa Chiri, Xiaoqian Gong, Benedetto Piccoli. Mean-field limit of a hybrid system for multi-lane car-truck traffic[J]. Networks and Heterogeneous Media, 2023, 18(2): 723-752. doi: 10.3934/nhm.2023031

    Related Papers:

  • 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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