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Pré-Publication, Document De Travail Année : 2020

A macroscopic model to reproduce self-organization at bottlenecks

Boris Andreianov
Abraham Sylla

Résumé

We propose a model for self-organized traffic flow at bottlenecks that consists of a scalar conservation law with a nonlocal constraint on the flux. The constraint is a function of an organization marker which evolves through an ODE depending on the upstream traffic density and its variations. We prove well-posedness for the problem, construct and analyze a finite volume scheme, perform numerical simulations and discuss the model and related perspectives.
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Dates et versions

hal-02526538 , version 1 (07-04-2020)

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  • HAL Id : hal-02526538 , version 1

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Boris Andreianov, Abraham Sylla. A macroscopic model to reproduce self-organization at bottlenecks. 2020. ⟨hal-02526538⟩
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