A Personalized Kinetic Model of Traffic Flow

A kinetic model of traffic flow on roads is developed which takes into account not only the multilane structure of the road, but also the multifaced aspect of traffic in which different kinds of vehicles and of drivers interact together. Differentiation among the various types of individuals is accomplished by introducing, in the traffic simulation, a modeling methodology proper of sociobiological population dynamics. In particular, the evolution is described by a generalized Boltzmann model for several population density functions. On the other hand, the intrinsic character of the individual driver-vehicle, that is free to autonomously decide about his future, justifies the introduction of an independent linear stochastic term in the evolution equation, in addition tto the quadratic interaction one, that is uncommon in these models.