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Summary: Analysis of a single-server queue
interacting with a fluid reservoir
I.J.B.F. Adan
, E.A. van Doorn
, J.A.C. Resing
, W.R.W. Scheinhardt
Department of Mathematics and Computing Science
Eindhoven University of Technology
P.O. Box 513, 5600 MB Eindhoven, The Netherlands
Email: {iadan,resing}@win.tue.nl
Faculty of Applied Mathematics
University of Twente
P.O. Box 217, 7500 AE Enschede, The Netherlands
Email: {e.a.vandoorn, w.r.w.scheinhardt}@math.utwente.nl
Abstract
We consider a single-server queueing system with Poisson arrivals in which the speed
of the server depends on whether an associated fluid reservoir is empty or not. Con-
versely, the rate of change of the content of the reservoir is determined by the state of
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