On Vlasov-Fokker-Planck Type Kinetic Models for Multilane Traffic Flow
نویسندگان
چکیده
Abstract. We discuss rationales for kinetic descriptions of traffic dynamics and present a class of new models of VlasovFokker-Planck type. These models incorporate (nonlocal and time-delayed) braking and acceleration terms which are consistent with realistic time scales. Correlation assumptions are made such that braking and acceleration terms depend only on macroscopic densities and the relative speeds with respect to the average speed; the braking term includes lane change probabilities, and reasonable assumptions on the dependencies of these probabilities on the traffic situation lead to multivalued fundamental diagrams, consistent with traffic observations.
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