A multiscale model for traffic regulation via autonomous vehicles
Mauro Garavello (UNIMIB), Paola Goatin (Acumes, JAD, UCA), Thibault, Liard, Benedetto Piccoli

TL;DR
This paper introduces a multiscale traffic regulation model incorporating autonomous vehicles, extending microscopic approaches with models for moving bottlenecks, and proves the existence of solutions for certain control strategies.
Contribution
It presents a novel multiscale framework for traffic regulation that integrates moving bottleneck models and establishes solution existence for open-loop controls.
Findings
Proof of existence of solutions for bounded variation controls
Extension of microscopic models to multiscale approaches
Framework applicable to traffic regulation with AVs
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 open-loop controls with bounded variation.
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