We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced to move with a constant velocity unless they reach a maximal capacity and start to queue. This kind of dynamics is governed by scalar conservation laws consisting of a discontinuous flux function. We define appropriate coupling conditions to get wellposed solutions at intersections and provide a detailed description of the solution. Some numerical simulations are presented to illustrate and confirm the theoretical results for different network configurations.
A model for a network of conveyor belts with discontinuous speed and capacity / Festa, Adriano; Göttlich, Simone; Pfirsching, Marion. - In: NETWORKS AND HETEROGENEOUS MEDIA. - ISSN 1556-1801. - 14:2(2019), pp. 389-410.
Titolo: | A model for a network of conveyor belts with discontinuous speed and capacity |
Autori: | |
Data di pubblicazione: | 2019 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.3934/nhm.2019016 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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19_FestaGoet_NHM.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia | |
Conv_Belt_ArXiv.pdf | 2. Post-print / Author's Accepted Manuscript | ![]() | Visibile a tuttiVisualizza/Apri |
http://hdl.handle.net/11583/2786535