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• W3120476629 abstract "The goal of this paper is to derive rigorously macroscopic traffic flow models from microscopic models. More precisely, for the microscopic models, we consider follow-the-leader type models with different types of drivers and vehicles which are distributed randomly on the road. After a rescaling, we show that the cumulative distribution function converges to the solution of a macroscopic model. We also establish a connection between this macroscopic model and the so-called Lighthill--Whitham--Richards model." @default.
• W3120476629 created "2021-01-18" @default.
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• W3120476629 date "2021-01-01" @default.
• W3120476629 modified "2023-10-18" @default.
• W3120476629 title "From Heterogeneous Microscopic Traffic Flow Models to Macroscopic Models" @default.
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• W3120476629 doi "https://doi.org/10.1137/20m1314410" @default.
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