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On pathwise behavior of multiserver queues

Research paper by Fabrice Guillemin, Ravi R. Mazumdar

Indexed on: 01 Mar '94Published on: 01 Mar '94Published in: Queueing Systems



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=∞).