140 citations · 156 across the 2 of their papers we have counts for
5 papers
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…
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,…
Pedestrian flows in bounded domains with obstacles
Benedetto Piccoli, Andrea Tosin
In this paper we systematically apply the mathematical structures by time-evolving measures developed in a previous work to the macroscopic modeling of pedestrian flows. We propose…