Waiting and interdeparture times in priority queues with Poisson- and general-arrival streams

Waiting and interdeparture times in priority queues with Poisson- and general-arrival streams

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Article ID: iaor20003837
Country: United States
Volume: 45
Issue: 5
Start Page Number: 725
End Page Number: 735
Publication Date: Sep 1997
Journal: Operations Research
Authors:
Keywords: M/G/1 queues, GI/G/1 queues
Abstract:

This paper presents new results for the interdeparture time distributions in single-server priority queues with an arbitrary number of high-priority Poisson-arrival classes and one lowest-priority general-arrival class. Little-known results for the waiting time distributions in the same queue are presented, including a new proof for the powerful result that the waiting time distribution in the non-preemptive priority queue is insensitive to the interarrival time distributions of lower-priority classes, beyond their mean.

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