A multiscale model for traffic regulation via autonomous vehicles

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:269

Article

Garavello, Mauro¹  Goatin, Paola²  Liard, Thibault³  Piccoli, Benedetto^4,5 

[1] Univ Milano Bicocca, Dept Math & Its Applicat, Via R Cozzi 55, I-20125 Milan, Italy

[2] Univ Cote Azur, Inria Sophia Antipolis Mediterranee, INRIA, CNRS,LJAD, 2004 Route Lucioles BP 93, F-06902 Sophia Antipolis, France

[3] Fdn Deusto, Chair Computat Math, Ave Univ 24, Bilbao 48007, Basque Country, Spain

[4] Rutgers Univ Camden, Dept Math Sci, 311 N 5th St, Camden, NJ 08102 USA

[5] Rutgers Univ Camden, Ctr Computat & Integrat Biol, 311 N 5th St, Camden, NJ 08102 USA

关键词: Conservation laws;    PDE-ODE system;    Macroscopic traffic models;    Moving bottlenecks;    Autonomous vehicles;    Control problems;   

DOI  :  10.1016/j.jde.2020.04.031

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free