An optimal control problem of traffic flow on a junction

被引：0

作者：

Cardaliaguet, Pierre ^{[1
]}

Souganidis, Panagiotis E. ^{[2
]}

机构：

[1] Univ Paris 09, PSL Res Univ, Pl Marechal Lattre Tassigny, F-75775 Paris 16, France

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2024年 / 30卷

基金：

美国国家科学基金会;

关键词：

Optimal control of partial differential equation; Conservation law on a junction; Hamilton-Jacobi equation on a junction; HAMILTON-JACOBI EQUATIONS; EQUILIBRIA; OPTIMIZATION; MODEL;

D O I：

10.1051/cocv/2024077

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页数：35

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