
From heterogeneous microscopic traffic flow models to macroscopic models
Cardaliaguet, Pierre; Forcadel, Nicolas (2021), From heterogeneous microscopic traffic flow models to macroscopic models, SIAM Journal on Mathematical Analysis, 53, 1, p. 309-322. 10.1137/20M1314410
Type
Article accepté pour publication ou publiéDate
2021Journal name
SIAM Journal on Mathematical AnalysisVolume
53Number
1Publisher
SIAM - Society for Industrial and Applied Mathematics
Pages
309-322
Publication identifier
Metadata
Show full item recordAuthor(s)
Cardaliaguet, PierreCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Forcadel, Nicolas

Laboratoire de Mathématiques de l'INSA de Rouen Normandie [LMI]
Abstract (EN)
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.Subjects / Keywords
traffic flow; heterogeneous microscopic models; macroscopic models; stochastic homogenisationRelated items
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