A MODEL FOR A NETWORK OF CONVEYOR BELTS WITH DISCONTINUOUS SPEED AND CAPACITY

被引：4

作者：

Festa, Adriano ^{[1
]}

Goettlich, Simone ^{[2
]}

Pfirsching, Marion ^{[2
]}

机构：

[1] INSA Rouen, Lab Math, 685 Ave Univ, F-76800 St Etienne Du Rouvray, France

[2] Univ Mannheim, Dept Math, A5-6, D-68131 Mannheim, Germany

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2019年 / 14卷 / 02期

关键词：

Production systems; conservation laws with discontinuous flux; numerical simulations; CONSERVATION-LAWS; SYSTEMS; FLUX;

D O I：

10.3934/nhm.2019016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 well-posed 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.

引用

页码：389 / 410

页数：22

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