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 open-loop controls with bounded variation.
@article{arxiv.1910.04021,
title = {A multiscale model for traffic regulation via autonomous vehicles},
author = {Mauro Garavello and Paola Goatin and Thibault Liard and Benedetto Piccoli},
journal= {arXiv preprint arXiv:1910.04021},
year = {2020}
}