A model for a network of conveyor belts with discontinuous speed and\n capacity

2018/02/18 by Adriano Festa, Festa, Adriano, Simone Göttlich +3 · 1 citation
Business, Management and Accounting · Engineering · #35L65 #65M25 #90B30 #Advanced Manufacturing and Logistics Optimization #Advanced Queuing Theory Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Traffic control and management

paper · pdf · doi:10.48550/arxiv.1802.06470

openalex publication_date 2018/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a macroscopic model for a network of conveyor belts with various\nspeeds and capacities. In a different way from traffic flow models, the product\ndensities are forced to move with a constant velocity unless they reach a\nmaximal capacity and start to queue. This kind of dynamics is governed by\nscalar conservation laws consisting of a discontinuous flux function. We define\nappropriate coupling conditions to get well-posed solutions at intersections\nand provide a detailed description of the solution. Some numerical simulations\nare presented to illustrate and confirm the theoretical results for different\nnetwork configurations.\n

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• Approximation of viscous transport and conservative equations with one sided Lipschitz velocity fields

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