On the tail of the waiting time in a Markov-modulated M/G/1 queue

On the tail of the waiting time in a Markov-modulated M/G/1 queue

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Article ID: iaor20032099
Country: United States
Volume: 50
Issue: 3
Start Page Number: 559
End Page Number: 565
Publication Date: May 2002
Journal: Operations Research
Authors: ,
Keywords: M/G/1 queues
Abstract:

We show that the ‘exponential decay parameter’ of the waiting time in a Markov-modulated M/G/1 queue is no larger than that of the corresponding M/G/1 queue with ‘averaged’ parameters, and we give a necessary and sufficient condition for equality. We also explore the effect of speeding up the modulation process. A key tool is a Markov-modulated fluid model.

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