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|
|Data di pubblicazione:||2019|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.3934/nhm.2019016|
|Appare nelle tipologie:||1.1 Articolo in rivista|