Work

An optimal control problem of traffic flow on a junction

Year: 2024

Type: article

Abstract: We investigate how to control optimally a traffic flow through a junction on the line by acting only on speed reduction or traffic light at the junction. We show the existence of an optimal control and, under structure assumptions, provide optimality conditions. We use this analysis to investigate thoroughly the maximization of the flux on a space-time subset and show the existence of an optimal control which is bang-bang.

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/cocv/2024077/pdf

Authors: Pierre Cardaliaguet, Panagiotis E. Souganidis

Institutions: Centre de Recherche en Mathématiques de la Décision, Université Paris Sciences et Lettres, Université Paris Dauphine-PSL, University of Chicago

Language: English

Topic: Traffic control and management

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Agence Nationale de la Recherche

Awards: COntrol on Stratified Structures, Nonlinear Partial Differential Equations and Applications