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EnglishWe 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.
A measure theoretic approach to traffic flow optimization on networks / Cacace, Simone; Camilli, Fabio; De Maio, Raul; Tosin, Andrea. - In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS. - ISSN 0956-7925. - ELETTRONICO. - 30:Spec. issue 6(2019), pp. 1187-1209. [10.1017/S0956792518000621]
| Titolo: | A measure theoretic approach to traffic flow optimization on networks | |
| Autori: | ||
| Data di pubblicazione: | 2019 | |
| Rivista: | ||
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1017/S0956792518000621 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| cacace_camilli_demaio_tosin-2018-EJAM.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
| CsCfDMrTa-opticonet.pdf | 2. Post-print / Author's Accepted Manuscript |  | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2742939
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