230 citations · 1.9k across the 63 of their papers we have counts for
9 papers · 1 filter
Reconstruction of traffic speed distributions from kinetic models with uncertainties
M. Herty, A. Tosin, G. Visconti +1
In this work we investigate the ability of a kinetic approach for traffic dynamics to predict speed distributions obtained through rough data. The present approach adopts the forma…
Boltzmann-type description with cutoff of Follow-the-Leader traffic models
Andrea Tosin, Mattia Zanella
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…
Model-based assessment of the impact of driver-assist vehicles using kinetic theory
Benedetto Piccoli, Andrea Tosin, Mattia Zanella
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 sc…
Kinetic modelling of multiple interactions in socio-economic systems
Giuseppe Toscani, Andrea Tosin, Mattia Zanella
Unlike the classical kinetic theory of rarefied gases, where microscopic interactions among gas molecules are described as binary collisions, the modelling of socio-economic phenom…
The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations
Giacomo Dimarco, Andrea Tosin
We study the derivation of second order macroscopic traffic models from kinetic descriptions. In particular, we recover the celebrated Aw-Rascle model as the hydrodynamic limit of…
Markov jump processes and collision-like models in the kinetic description of multi-agent systems
Nadia Loy, Andrea Tosin
Multi-agent systems can be successfully described by kinetic models, which allow one to explore the large scale aggregate trends resulting from elementary microscopic interactions.…
Multiple-interaction kinetic modelling of a virtual-item gambling economy
Giuseppe Toscani, Andrea Tosin, Mattia Zanella
In recent years, there has been a proliferation of online gambling sites, which made gambling more accessible with a consequent rise in related problems, such as addiction. Hence,…
Uncertainty damping in kinetic traffic models by driver-assist controls
Andrea Tosin, Mattia Zanella
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 v…
Hydrodynamic models of preference formation in multi-agent societies
Lorenzo Pareschi, Giuseppe Toscani, Andrea Tosin +1
In this paper, we discuss the passage to hydrodynamic equations for kinetic models of opinion formation. The considered kinetic models feature an opinion density depending on an ad…