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Management of traffic flows at intersections

Asma Khelifi (), Jean-Patrick Lebacque () and Habib Haj-Salem ()
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Asma Khelifi: CEREFIGE - Centre Européen de Recherche en Economie Financière et Gestion des Entreprises - UL - Université de Lorraine
Jean-Patrick Lebacque: COSYS-GRETTIA - Génie des Réseaux de Transport Terrestres et Informatique Avancée - Université Gustave Eiffel
Habib Haj-Salem: COSYS-GRETTIA - Génie des Réseaux de Transport Terrestres et Informatique Avancée - Université Gustave Eiffel

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Abstract: This study is concerned with the higher order macroscopic traffic flow modeling and simulation of traffic flow on junctions. More precisely, we deal with a generic class of second order models, known in the literature as the GSOM family which embeds a large variety of traffic models. While classical approaches focus on the Eulerian point-of-view, here we recast the model using its Lagrangian coordinates and we treat the junction as a specific discontinuity in Lagrangian framework. We propose a complete numerical methodology based on a finite difference scheme for solving such a model which is compatible with micro and macro description, and satisfy the constraints of the invariance principle.

Date: 2022-07-10
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Published in 26th International Symposium on Logistics (ISL 2022), Theme: "The Journey to Sustainable Supply Chains", Jul 2022, Cork, Ireland. pp.132-144

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