The conditional sojourn time distribution in the GI/M/1 processor-sharing queue in heavy traffic

The conditional sojourn time distribution in the GI/M/1 processor-sharing queue in heavy traffic

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Article ID: iaor19941208
Country: Netherlands
Volume: 14
Issue: 1/2
Start Page Number: 99
End Page Number: 109
Publication Date: Aug 1993
Journal: Queueing Systems
Authors: , ,
Abstract:

The authors treat the GI/M/1 queue with a processor-sharing server, in the heavy traffic case. Using perturbation methods, they construct asymptotic expansions for the conditional sojourn time distribution of a tagged customer conditioned on the tagged customer’s service time. The resulting approximation is simple in form and involves only the first three moments of the interarrival time distribution.

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