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On pathwise behavior of multiserver queues
Authors:Fabrice Guillemin  Ravi R Mazumdar
Institution:(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
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/infin type, we show that the workload of multiserver, work conserving queues ofG/G/m/infin (m<infin) (andG/G/infin) queues satisfies an o(t) growth condition, provided that the time average of the work brought into the system is less thanm form < infin (and finite form=infin).
Keywords:Sample-path  point processes  workload  stability
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