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arXiv · 1907.02310

From heterogeneous microscopic traffic flow models to macroscopic models

Pierre Cardaliaguet·Nicolas Forcadel
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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 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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Pierre Cardaliaguet, Nicolas Forcadel. 2019-07-04. From heterogeneous microscopic traffic flow models to macroscopic models. https://arxiv.org/abs/1907.02310

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