General kinetic models for vehicular traffic flow and Monte Carlo methods
نویسندگان
چکیده
In this paper we present a general derivation of kinetic models for traffic flows including different kind of interaction rules. We show that most kinetic models previously derived can be cast in the actual formulation. The development of Monte Carlo methods for direct simulation of the kinetic models is considered as an initial step towards realistic and efficient computations of traffic phenomenas. Monte Carlo methods are developed for these kinetic models. Several numerical examples are computed and compared to previously obtained solutions of the stationary equation.
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