M/g/∞ with alternating renewal breakdowns

Ananda K. Jayawardene*, Offer Kella

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

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.

Original languageAmerican English
Pages (from-to)79-95
Number of pages17
JournalQueueing Systems
Volume22
Issue number1-2
DOIs
StatePublished - May 1996

Keywords

  • M/g/∞ queue
  • Queues with vacations
  • Random measure
  • Regenerative process

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