A critical remark on a system approximation in queueing theory

Dietrich Stoyan

16 citations0/0 files storedMathematische Operationsforschung Statistik

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

It is shown that some inequalities for the waiting times in GI/G/m are not true, which are stated by some authors as "obviously true". In the proof of a continuity theorem for the waiting time distributions in GI/G/m an error is corrected.

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References

1970Inequalities in the Theory of Queues 1971Some Inequalities for Parallel-Server Queues 1974Some bounds for many-server systems GI/G/s

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2013Partial Flexibility in Routeing and Scheduling 1981On Stochastic Bounds for the Delay Distribution in the GI/G/s Queue 1978A comparison of service disciplines for gi/g/mqueues

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