Priorities in M/G/1 queue with server vacations

Priorities in M/G/1 queue with server vacations

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Article ID: iaor1988775
Country: United States
Volume: 35
Issue: 1
Start Page Number: 23
End Page Number: 34
Publication Date: Feb 1988
Journal: Naval Research Logistics
Authors: ,
Abstract:

The M/G/1 queue with single and multiple server vacations is studied under both the preemptive and non-preemptive priority regimes. A unified methodology is developed to derive the Laplace-Stieltjes transform and first two moments of the waiting time Wk of a class-k customer for each of the four models analyzed. The results are given a probabilistic representation involving mean residual lifetimes.

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