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On the coupling of steady and adaptive velocity grids in vehicular traffic modelling



This work deals with the derivation and the analysis of a new mathematical model for vehicular traffic along a one-way road obtained by the coupling of a uniform and an adaptive discretization of the velocity variable in the frameworks of the kinetic theory. Interactions are modelled by stochastic games where the output of interactions depends on the local density and is not linearly additive

Topics: Traffic modelling, Kinetic theory, Discrete velocity models, Trend to equilibrium
Year: 2011
DOI identifier: 10.1016/j.aml.2010.08.035
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