Title: Multi-station manufacturing system analysis: theoretical and simulation study

Authors: Mohamed Boualem; Amina Angelika Bouchentouf; Mouloud Cherfaoui; Djamil Aïssani

Addresses: Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000 Bejaia, Algeria ' Mathematics Laboratory, Department of Mathematics, Djillali Liabes University of Sidi Bel Abbes, 89, Sidi Bel Abbes 22000, Algeria ' Department of Mathematics, University of Biskra, 07000, Algeria; Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000 Bejaia, Algeria ' Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000 Bejaia, Algeria

Abstract: This paper deals with a flexible multi-station manufacturing system modelled by re-entrant queueing model. Our model incorporates classical queueing systems with exponential service times and controlled arrival process under a priority service discipline. The system is decomposed into N fundamental multi-productive stations and 2N − 1 classes, a part follows the route fixed by the system, where each one is processed by N stations requiring 2N − 1 services. We assume that there is an infinite supply of work available, so that there are always parts ready for processing step 1. Our purpose in this paper is to present a detailed theoretical and simulation analysis of this priority multi-station manufacturing system.

Keywords: re-entrant queues; priority scheduling policies; stability; modelling; virtual infinite buffers; simulation; multi-station manufacturing systems; flexible manufacturing systems; FMS; queueing systems; exponential service times; controlled arrival process.

DOI: 10.1504/IJMOR.2017.081925

International Journal of Mathematics in Operational Research, 2017 Vol.10 No.2, pp.229 - 260

Received: 20 Dec 2014
Accepted: 24 May 2015
Published online: 31 Jan 2017 *

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