In this work we extend a recent kinetic traffic model to the case of morethan one class of vehicles, each of which is characterized by few differentmicroscopic features. We consider a Boltzmann-like framework with only binaryinteractions, which take place among vehicles belonging to the various classes.Our approach differs from the multi-population kinetic model based on a latticeof speeds because here we assume continuous velocity spaces and we introduce aparameter describing the physical velocity jump performed by a vehicle thatincreases its speed after an interaction. The model is discretized in order toinvestigate numerically the structure of the resulting fundamental diagrams andthe system of equations is analyzed by studying well posedness. Moreover, wecompute the equilibria of the discretized model and we show that the exactasymptotic kinetic distributions can be obtained with a small number ofvelocities in the grid. Finally, we introduce a new probability law in order toattenuate the sharp capacity drop occurring in the diagrams of traffic.
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