Parallel fluid queues with constant inflows and simultaneous random reductions

Offer Kella*, Masakiyo Miyazawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider I fluid queues in parallel. Each fluid queue has a deterministic inflow with a constant rate. At a random instant subject to a Poisson process, random amounts of fluids are simultaneously reduced. The requested amounts for the reduction are subject to a general I-dimensional distribution. The queues with inventories that are smaller than the requests are emptied. Stochastic upper bounds are considered for the stationary distribution of the joint buffer contents. Our major interest is in finding exponential product-form bounds, which turn out to have the appropriate decay rates with respect to certain linear combinations of buffer contents.

Original languageAmerican English
Pages (from-to)609-620
Number of pages12
JournalJournal of Applied Probability
Volume38
Issue number3
DOIs
StatePublished - Sep 2001

Keywords

  • Decay rate
  • Exponential product form
  • Multidimensional stationary distribution
  • Parallel fluid queues
  • Stochastic upper bound

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