A multiscale model for traffic regulation via autonomous vehicles

Mauro Garavello; Paola Goatin; Thibault Liard; Benedetto Piccoli

doi:10.1016/j.jde.2020.04.031

A multiscale model for traffic regulation via autonomous vehicles

Mauro Garavello
, Paola Goatin
, Thibault Liard
, Benedetto Piccoli

Rutgers, The State University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this paper, we propose a multiscale approach, based on recently developed models for moving bottlenecks. Our main result is the proof of existence of solutions for time-varying bottleneck speed, which corresponds to open-loop controls with bounded variation.

Original language	American English
Pages (from-to)	6088-6124
Number of pages	37
Journal	Journal of Differential Equations
Volume	269
Issue number	7
DOIs	https://doi.org/10.1016/j.jde.2020.04.031
State	Published - Sep 15 2020

ASJC Scopus subject areas

Analysis
Applied Mathematics

Keywords

Autonomous vehicles
Conservation laws
Control problems
Macroscopic traffic models
Moving bottlenecks
PDE-ODE system

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10.1016/j.jde.2020.04.031

Cite this

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title = "A multiscale model for traffic regulation via autonomous vehicles",

abstract = "Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this paper, we propose a multiscale approach, based on recently developed models for moving bottlenecks. Our main result is the proof of existence of solutions for time-varying bottleneck speed, which corresponds to open-loop controls with bounded variation.",

keywords = "Autonomous vehicles, Conservation laws, Control problems, Macroscopic traffic models, Moving bottlenecks, PDE-ODE system",

author = "Mauro Garavello and Paola Goatin and Thibault Liard and Benedetto Piccoli",

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AU - Garavello, Mauro

AU - Goatin, Paola

AU - Liard, Thibault

AU - Piccoli, Benedetto

PY - 2020/9/15

Y1 - 2020/9/15

N2 - Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this paper, we propose a multiscale approach, based on recently developed models for moving bottlenecks. Our main result is the proof of existence of solutions for time-varying bottleneck speed, which corresponds to open-loop controls with bounded variation.

AB - Autonomous vehicles (AVs) allow new ways of regulating the traffic flow on road networks. Most of available results in this direction are based on microscopic approaches, where ODEs describe the evolution of regular cars and AVs. In this paper, we propose a multiscale approach, based on recently developed models for moving bottlenecks. Our main result is the proof of existence of solutions for time-varying bottleneck speed, which corresponds to open-loop controls with bounded variation.

KW - Autonomous vehicles

KW - Conservation laws

KW - Control problems

KW - Macroscopic traffic models

KW - Moving bottlenecks

KW - PDE-ODE system

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M3 - Article

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EP - 6124

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 7

ER -

A multiscale model for traffic regulation via autonomous vehicles

Abstract

ASJC Scopus subject areas

Keywords

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