Chapitre D'ouvrage Année : 2020

An overview of non-local traffic flow models

Résumé

We give an overview of mathematical traffic flow models with non-local velocity. More precisely, we consider conservation laws with flux functions depending on an integral evaluation of the density of vehicles through a convolution product. We summarize the analytical results recently obtained for this kind of models and we provide some numerical simulations illustrating the behavior of different groups of drivers or vehicles.

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Cite 10.1007/978-3-030-66560-9_5 Autre Chiarello, F. A. (2020). An Overview of Non-local Traffic Flow Models. In SEMA SIMAI Springer Series (pp. 79–91). Springer International Publishing. https://doi.org/10.1007/978-3-030-66560-9_5

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hal-02407600 , version 1 (12-12-2019)

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  • HAL Id : hal-02407600 , version 1

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Felisia Angela Chiarello. An overview of non-local traffic flow models. Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models, 2020. ⟨hal-02407600⟩
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