We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective is to minimise/maximise macroscopic quantities, such as traffic volume or average speed, controlling few agents, for example smart traffic lights and automated cars. The measure theoretic approach allows to study in a same setting local and nonlocal drivers interactions and to consider the control variables as additional measures interacting with the drivers distribution. We also propose a gradient descent adjoint-based optimization method, obtained by deriving first-order optimality conditions for the control problem, and we provide some numerical experiments in the case of smart traffic lights for a 2-1 junction.
|Titolo:||A measure theoretic approach to traffic flow optimization on networks|
|Data di pubblicazione:||2018|
|Digital Object Identifier (DOI):||10.1017/S0956792518000621|
|Appare nelle tipologie:||1.1 Articolo in rivista|