A multiscale model for traffic regulation via autonomous vehicles
Mauro Garavello, Paola Goatin, Thibault Liard, Benedetto Piccoli
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.
Topics & Concepts
BottleneckOdeBounded functionTraffic flow (computer networking)Computer scienceBounded variationFlow (mathematics)MathematicsMathematical optimizationControl theory (sociology)Distributed computingApplied mathematicsArtificial intelligenceControl (management)Mathematical analysisComputer securityEmbedded systemGeometryTraffic control and managementTransportation Planning and OptimizationTransportation and Mobility Innovations