On pathwise behavior of multiserver queues |
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Authors: | Fabrice Guillemin Ravi R. Mazumdar |
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Affiliation: | (1) Route de Trégastel, Centre National d'Etudes des Télécommunications Lannion-A, 22300 Lannion, France;(2) INRS-Télécommunications, Université du Québec, Ile-des-Soeurs, P.Q. H3E1H6, Canada |
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Abstract: | In this paper, by exploiting recent results on the pathwise behavior of the workload process in single server, work conserving queues of theG/G/1/ type, we show that the workload of multiserver, work conserving queues ofG/G/m/ (m<) (andG/G/) queues satisfies an o(t) growth condition, provided that the time average of the work brought into the system is less thanm form < (and finite form=). |
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Keywords: | Sample-path point processes workload stability |
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