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A TANDEM FLUID QUEUE WITH GRADUAL INPUT

Published online by Cambridge University Press:  11 January 2002

Werner R.W. Scheinhardt  and
Bert Zwart
Werner R.W. Scheinhardt
Affiliation:
Faculty of Mathematical Sciences, University of Twente, Enschede, The Netherlands, E-mail: werner@math.utwente.nl, and CWI, Amsterdam, The Netherlands
Bert Zwart
Affiliation:
Department of Mathematics & Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands, E-mail: zwart@win.tue.nl
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Abstract

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For a two-node tandem fluid model with gradual input, we compute the joint steady-state buffer-content distribution. Our proof exploits martingale methods developed by Kella and Whitt. For the case of finite buffers, we use an insightful sample-path argument to extend an earlier proportionality result of Zwart to the network case.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 16 , Issue 1 , January 2002 , pp. 29 - 45
Copyright
© 2002 Cambridge University Press