Steady state approximations of limited processor sharing queues in heavy traffic

Steady state approximations of limited processor sharing queues in heavy traffic

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Article ID: iaor200916787
Country: Netherlands
Volume: 60
Issue: 3
Start Page Number: 227
End Page Number: 246
Publication Date: Dec 2008
Journal: Queueing Systems
Authors: ,
Abstract:

We investigate steady state properties of limited processor sharing queues in heavy traffic. Our analysis builds on previously obtained process limit theorems, and requires the interchange of steady state and heavy traffic limits, which are established by a coupling argument. The limit theorems yield explicit approximations of the steady state queue length and response time distribution in heavy traffic, of which the quality is supported by simulation experiments.

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