57 citations · 145 across the 18 of their papers we have counts for
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math-ph2013★ 13 cited
Fundamental diagrams for kinetic equations of traffic flow
Luisa Fermo, Andrea Tosin
In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theore…
math-ph2012★ 57 cited
A fully-discrete-state kinetic theory approach to modeling vehicular traffic
Luisa Fermo, Andrea Tosin
This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and ve…