We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of vehicle-to-vehicle interactions and then upscaled to the global flow via a kinetic approach based on a Boltzmann-type equation. Then first and second order hydrodynamic traffic models, which naturally embed the microscopic control strategies, are consistently derived from the kinetic-controlled framework via suitable closure methods. Several numerical examples illustrate the effectiveness of such a hierarchical approach at the various scales.
Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles / Tosin, Andrea; Zanella, Mattia. - In: MULTISCALE MODELING & SIMULATION. - ISSN 1540-3459. - 17:2(2019), pp. 716-749.
Titolo: | Kinetic-Controlled Hydrodynamics for Traffic Models with Driver-Assist Vehicles |
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Data di pubblicazione: | 2019 |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/18M1203766 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
File in questo prodotto:
File | Descrizione | Tipologia | Licenza | |
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MMS_TZ19.pdf | 2a Post-print versione editoriale / Version of Record | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri | |
TaZm-hydro_traffic.pdf | 1. Preprint / Submitted Version | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2732852