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

@article{Piccoli2019ModelbasedAO, title={Model-based assessment of the impact of driver-assist vehicles using kinetic theory}, author={Benedetto Piccoli and Andrea Tosin and Mattia Zanella}, journal={arXiv: Adaptation and Self-Organizing Systems}, year={2019} }

In this paper we consider a kinetic description of follow-the-leader traffic models, which we use to study the effect of vehicle-wise driver-assist control strategies at various scales, from that of the local traffic up to that of the macroscopic stream of vehicles. We provide a theoretical evidence of the fact that some typical control strategies, such as the alignment of the speeds and the optimisation of the time headways, impact on the local traffic features (for instance, the speed and…

## 19 Citations

Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles

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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.

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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.

Kinetic-controlled hydrodynamics for multilane traffic models

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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.

Reconstruction of Traffic Speed Distributions from Kinetic Models with Uncertainties

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The ability of a kinetic approach for traffic dynamics to predict speed distributions obtained through rough data is investigated, using experimental microscopic measurements recorded on a German motorway, whose speed distribution shows a multimodal trend.

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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…

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A decentralized feedback controller for multi-agent systems, inspired by vehicle platooning, has three distinctive features: the generation of collision-free trajectories, flocking of the system towards a consensus state in velocity, and asymptotic convergence to a prescribed pattern of distances between agents.

Non-conservative Boltzmann-type kinetic equations for multi-agent systems with label switching

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In this paper, we propose a Boltzmann-type kinetic description of mass-varying interacting multi-agent systems. Our agents are characterised by a microscopic state, which changes due to their mutual…

Macroscopic limits of non-local kinetic descriptions of vehicular traffic

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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…

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