M/G/∞ with alternating renewal breakdowns

M/G/∞ with alternating renewal breakdowns

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Article ID: iaor19993180
Country: United States
Volume: 22
Issue: 1/2
Start Page Number: 79
End Page Number: 95
Publication Date: May 1996
Journal: Queueing Systems
Authors: ,
Keywords: M/G/infinity queues, vacation models
Abstract:

We consider an M/G/∞ queue where the service station is subject to occasional interruptions which form an alternating renewal process of up and down periods. We show that under some natural conditions the random measure process associated with the residual service times of the customers is regenerative in the strict sense, and study its steady state characteristics. In particular we show that the steady state distribution of this random measure is a convolution of two distributions of (independent) random measures, one of which is associated with a standard M/G/∞ queue.

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