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On Vlasov-Fokker-Planck Type Kinetic Models for Multilane Traffic Flow

机译:关于Vlasov-Fokker-Planck型式动态模型,用于多包交通流量

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We discuss rationales for kinetic descriptions of traffic dynamics and present a class of new models of Vlasov-Fokker-Planck type. These models incorporate (nonlocal and time-delayed) braking and acceleration terms which are consistent with realistic time scales. Correlation assumption 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.
机译:我们讨论了交通动态的动力学描述的理由,并展示了一类新型号的Vlasov-Fokker-Planck类型。这些模型包含(非识别和时间延迟)制动和与现实时间尺度一致的加速术语。使相关假设进行使得制动和加速度术语仅取决于宏观密度和相对于平均速度的相对速度;制动项包括车道改变概率,以及对交通状况的这些概率的依赖性的合理假设导致多值的基本图,与交通观测一致。

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