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


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
Issue number1-2
StatePublished - May 1996


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


Dive into the research topics of 'M/g/∞ with alternating renewal breakdowns'. Together they form a unique fingerprint.

Cite this