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M/G/∞ with alternating renewal breakdowns

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Abstract

We consider an M/G/∞ queue where the service station is subject to occasional interruptions which form an alternating renewal process ofup anddown 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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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, 0511, Singapore, Singapore

    Ananda K. Jayawardene

  2. Department of Statistics, The Hebrew University of Jerusalem, Mount Scopus, 91905, Jerusalem, Israel

    Offer Kella

Authors
  1. Ananda K. Jayawardene
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  2. Offer Kella
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Jayawardene, A.K., Kella, O. M/G/∞ with alternating renewal breakdowns. Queueing Syst 22, 79–95 (1996). https://doi.org/10.1007/BF01159394

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  • DOI: https://doi.org/10.1007/BF01159394

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