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Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2021

From heterogeneous microscopic traffic flow models to macroscopic models

Résumé

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 converge to the solution of a macroscopic model. We also make the link between this macroscopic model and the so-called LWR model.
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Dates et versions

hal-02172100 , version 1 (03-07-2019)

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Pierre Cardaliaguet, Nicolas Forcadel. From heterogeneous microscopic traffic flow models to macroscopic models. SIAM Journal on Mathematical Analysis, 2021, 53(1), pp.309-322. ⟨hal-02172100⟩
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