Kinetic-controlled hydrodynamics for multilane traffic models

  title={Kinetic-controlled hydrodynamics for multilane traffic models},
  author={Raul Borsche and Axel Klar and Mattia Zanella},
  journal={Physica A: Statistical Mechanics and its Applications},
Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
Numerical insights show that the presence of driver-assist vehicles produces an aggregate homogenisation of the mean flow speed, which may also be steered towards a suitable desired speed in such a way that optimal flows and traffic stabilisation are reached.
Macroscopic limits of non-local kinetic descriptions of vehicular traffic
We study the derivation of non-local macroscopic traffic models out of optimal speed and follow-the-leader particle dynamics as hydrodynamic limits of non-local Povzner-type kinetic equations. As a


Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles
A hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors and the effectiveness of such a hierarchical approach at the various scales is developed.
Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles
The derivation of generic high order macroscopic traffic models from a follow-the-leader particle description via a kinetic approach is studied, which shows that such a control may be chosen so as to optimise global traffic trends, such as the vehicle flux or the road congestion, constrained by the GSOM dynamics.
A multiscale model for traffic regulation via autonomous vehicles
Model-based assessment of the impact of driver-assist vehicles using kinetic theory
A kinetic description of follow-the-leader traffic models is considered, which suggests that the kinetic approach may be a valid tool for an organic multiscale investigation and possibly design of driver-assist algorithms.
A two-dimensional data-driven model for traffic flow on highways
A novel two-dimensional first-order macroscopic traffic flow model based on experimental traffic data obtained from German and US highways to reproduce a detailed description of traffic dynamics for the real road geometry.
Mean-field limit of a hybrid system for multi-lane multi-class traffic
Coupled mean-field equation and ODEs with discrete events motivated by vehicular traffic flow and the microscopic lane changing maneuver of the human-driven vehicles generates a source term to a Vlasov-type PDE.
Uncertainty damping in kinetic traffic models by driver-assist controls
In this paper, we propose a kinetic model of traffic flow with uncertain binary interactions, which explains the scattering of the fundamental diagram in terms of the macroscopic variability of
A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling
A microscopic multilane model based on reaction thresholds is developed and an Enskog- like kinetic model is developed based on which a fluid dynamic model is derived.