Continuous feedback fluid queues

Willem R.W. Scheinhardt, N.D. van Foreest, M.R.H. Mandjes

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25 Citations (Scopus)


We investigate a fluid queue with feedback from the (finite) buffer to the background process. The latter behaves as a continuous-time Markov chain, but the generator (and traffic rates) depend continuously on the current buffer level. We derive the Kolmogorov equations, and, for two-state background processes, the explicit stationary distribution.
Original languageUndefined
Pages (from-to)551-559
Number of pages9
JournalOperations research letters
Issue number6
Publication statusPublished - 2005


  • EWI-17613
  • Fluid queue
  • Forward equations
  • METIS-224513
  • Feedback
  • IR-70167

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