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Title: M/g/∞ with alternating renewal breakdowns
Authors: Jayawardene, A.K. 
Kella, O.
Keywords: M/g/∞ queue
Queues with vacations
Random measure
Regenerative process
Issue Date: May-1996
Citation: Jayawardene, A.K., Kella, O. (1996-05). M/g/∞ with alternating renewal breakdowns. Queueing Systems 22 (1-2) : 79-95. ScholarBank@NUS Repository.
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.
Source Title: Queueing Systems
ISSN: 02570130
Appears in Collections:Staff Publications

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