Riemann solver for a macroscopic double-lane roundabout model
| Autor: | Maria Laura Delle Monache, Samuel Hammond, Benedetto Piccoli |
|---|---|
| Přispěvatelé: | Networked Controlled Systems (NECS), Inria Grenoble - Rhône-Alpes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Département Automatique (GIPSA-DA), Grenoble Images Parole Signal Automatique (GIPSA-lab ), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Grenoble Images Parole Signal Automatique (GIPSA-lab ), Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut Polytechnique de Grenoble - Grenoble Institute of Technology-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), College of Egineering [Rowan], Rowan University, Rutgers University, Department of Mathematics, Department of Mathematics - Rutgers School of Arts and Sciences, Rutgers, The State University of New Jersey [New Brunswick] (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers)-Rutgers, The State University of New Jersey [New Brunswick] (RU), Rutgers University System (Rutgers)-Rutgers University System (Rutgers) |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Sequence
010102 general mathematics Mathematical analysis Macroscopic models Maximization Traffic flow 01 natural sciences Roundabouts Riemann solver Traffic modeling 010101 applied mathematics symbols.namesake Riemann problem Distribution (mathematics) Control and Systems Engineering Roundabout symbols [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Uniqueness 0101 mathematics Mathematics |
| Zdroj: | CTS 2018-15th IFAC Symposium on Control in Transportation Systems CTS 2018-15th IFAC Symposium on Control in Transportation Systems, Jun 2018, Savona, Italy. pp.55-60, ⟨10.1016/j.ifacol.2018.07.010⟩ |
| DOI: | 10.1016/j.ifacol.2018.07.010⟩ |
| Popis: | International audience; In this article, we introduce a Riemann solver for traffic flow on a roundabout with two lanes. The roundabout is modeled as a sequence of 2 × 1, 1 × 2 and 2 × 2 junctions. The Riemann solver provide a solution at junctions by taking into consideration traffic distribution, priorities, and the maximization of through flux. We prove existence and uniqueness of the solution of the Riemann problem and show some results numerically. |
| Databáze: | OpenAIRE |
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