Interdeparture time distributions in Σi Mi/Gi/1 priority queues

Interdeparture time distributions in Σi Mi/Gi/1 priority queues

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Article ID: iaor2004800
Country: Netherlands
Volume: 36
Issue: 1/3
Start Page Number: 1
End Page Number: 21
Publication Date: Nov 2000
Journal: Queueing Systems
Authors: ,
Keywords: M/G/1 queues
Abstract:

This paper reviews existing results for the stationary interdeparture time distribution in the M/G/1 nonpreemptive and preemptive resume queues, and introduces a unified approach which exploits for the first time the common structure for the interdeparture time process that is present in all classical preemptive priority service disciplines. This approach confirms previously known results for the preemptive resume discipline, and presents new results for several variants of the preemptive repeat model. Exact expressions for the squared coefficient of variation of the interdeparture time distribution are also provided. Several numerical examples are given and discussed.

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