State Dependent Models of Material Handling Systems in Closed Queueing Networks

Abstract : A comprehensive algorithmic analysis of finite state-dependent queueing models and exponentially distributed workstations is formulated and presented. The material handling system is modeled with finite state-dependent queueing network M/G/c/c models and the individual workstations are modeled with exponentially distributed single and multi-server M/M/c queueing models. The coupling of these queueing models is unique via the material handling structure. The performance modeling of the systems for series, merge, and split and other complex network topologies are included so as to demonstrate the type of topological network design that is possible with these incorporated material handling systems. Of some importance, it is shown that these integrated M/M/c and M/G/c/c networks have a product form when the population arriving at the M/G/c/c queues is controlled. Numerous experimental results demonstrate the efficacy of our approach for a variety of contexts and situations.
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International Journal of Production Research, Taylor & Francis, 2012, 50 (2), pp.461-484. 〈10.1080/00207543.2010.535041〉
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https://hal-hec.archives-ouvertes.fr/hal-00796338
Contributeur : Amaury Bouvet <>
Soumis le : dimanche 3 mars 2013 - 17:03:25
Dernière modification le : jeudi 11 janvier 2018 - 06:19:32

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Laoucine Kerbache, J. Macgregor Smith. State Dependent Models of Material Handling Systems in Closed Queueing Networks. International Journal of Production Research, Taylor & Francis, 2012, 50 (2), pp.461-484. 〈10.1080/00207543.2010.535041〉. 〈hal-00796338〉

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