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Management of traffic flows at intersections

Author

Listed:
  • 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)

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.

Suggested Citation

  • Asma Khelifi & Jean-Patrick Lebacque & Habib Haj-Salem, 2022. "Management of traffic flows at intersections," Post-Print hal-03544971, HAL.
  • Handle: RePEc:hal:journl:hal-03544971
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