Approximations and bounds for the variance of steady-state waiting times in a GI/G/1 queue

Approximations and bounds for the variance of steady-state waiting times in a GI/G/1 queue

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Article ID: iaor20023057
Country: Netherlands
Volume: 28
Issue: 2
Start Page Number: 51
End Page Number: 62
Publication Date: Mar 2001
Journal: Operations Research Letters
Authors: ,
Keywords: GI/G/1 queues
Abstract:

The focus of this paper is on developing bounds for the variance of steady-state waiting times in a GI/G/1 queue in terms of the first three moments of the interarrival and service time distributions. A review of the existing bounds and approximations is provided, and new bounds are derived. Numerical experience reveals that the bounds complement existing approximations in providing refinements that increase the accuracy of those approximations, especially at high traffic intensities.

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