# Boltzmann-Type Description with Cutoff of Follow-the-Leader Traffic Models

@article{Tosin2020BoltzmannTypeDW, title={Boltzmann-Type Description with Cutoff of Follow-the-Leader Traffic Models}, author={Andrea Tosin and Mattia Zanella}, journal={arXiv: Physics and Society}, year={2020} }

In this paper we consider a Boltzmann-type kinetic description of Follow-the-Leader traffic dynamics and we study the resulting asymptotic distributions, namely the counterpart of the Maxwellian distribution of the classical kinetic theory. In the Boltzmann-type equation we include a non-constant collision kernel, in the form of a cutoff, in order to exclude from the statistical model possibly unphysical interactions. In spite of the increased analytical difficulty caused by this further non…

## 2 Citations

Multiscale Control of Generic Second Order Traffic Models by Driver-Assist Vehicles

- MathematicsMultiscale Model. Simul.
- 2021

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.

Model-based assessment of the impact of driver-assist vehicles using kinetic theory

- Computer Science
- 2019

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.

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