Interacting moving bottlenecks in traffic flow

Goatin, Paola; Daini, Chiara; Delle Monache, Maria Laura; Ferrara, Antonella

Type de document :

Article dans une revue scientifique: Article original

DOI :

10.3934/nhm.2023040

Titre :

Interacting moving bottlenecks in traffic flow

Auteur(s) :

Goatin, Paola [Auteur]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Université Côte d'Azur [UniCA]
Analysis and Control of Unsteady Models for Engineering Sciences [ACUMES]
Daini, Chiara [Auteur]
Analyse symbolique et conception orientée composants pour des systèmes embarqués temps-réel modulaires [SYCOMORES]
Dipartimento di Ingegneria Industriale e dell'Informazione = Department of Electrical, Computer and Biomedical Engineering [Univ Pavia] [DIII UNIPV]
Delle Monache, Maria Laura [Auteur]
University of California [UC]
Ferrara, Antonella [Auteur]
Dipartimento di Ingegneria Industriale e dell'Informazione = Department of Electrical, Computer and Biomedical Engineering [Univ Pavia] [DIII UNIPV]

Titre de la revue :

Networks and Heterogeneous Media

Pagination :

930-945

Éditeur :

American Institute of Mathematical Sciences

Date de publication :

2023

ISSN :

1556-1801

Mot(s)-clé(s) en anglais :

PDE-ODE systems
macroscopic traffic flow models
moving bottlenecks
autonomous vehicles

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

We present a general multi-scale approach for modeling the interaction of controlled autonomous vehicles (AVs) with the surrounding traffic flow. The model consists of a scalar conservation law for the bulk traffic, coupled ...
Lire la suite >We present a general multi-scale approach for modeling the interaction of controlled autonomous vehicles (AVs) with the surrounding traffic flow. The model consists of a scalar conservation law for the bulk traffic, coupled with ordinary differential equations describing the possibly interacting AV trajectories. The coupling is realized through flux constraints at the moving bottleneck positions, inducing the formation of non-classical jump discontinuities in the traffic density. In turn, AVs are forced to adapt their speed to the downstream traffic average velocity in congested situations. We analyze the model solutions in a Riemann-type setting, and propose an adapted finite volume scheme to compute approximate solutions for general initial data. The work paves the way to the study of general optimal control strategies for AV velocities, aiming at improving the overall traffic flow by reducing congestion phenomena and the associated externalities.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet ANR :

3IA Côte d'Azur

Collections :