Explicit formulas for the variance of conditioned sojourn times in M/D/1-PS

Authors:
Michael Shalmon
Affiliations:
University of Quebec, INRS-EMT, Montreal, Canada H5A 1K6
Venue:
Operations Research Letters
Year:
2007

Citing 3
Cited 1

Processor-sharing queues: some progress in analysis

Queueing Systems: Theory and Applications
Waiting Time Distributions for Processor-Sharing Systems

Journal of the ACM (JACM)
Sojourn time asymptotics in the M/G/1 processor sharing queue

Queueing Systems: Theory and Applications

Processor sharing: A survey of the mathematical theory

Automation and Remote Control

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Abstract

For the M/D/1 processor sharing queue, explicit formulas for the coefficient of variation of the sojourn time conditioned on the service time and on the residual service times of the tasks found on arrival are derived via branching representations.