A tandem fluid queue with gradual input

Werner R.W. Scheinhardt; Bert Zwart

doi:10.1017/S0269964802161031

A tandem fluid queue with gradual input

Werner R.W. Scheinhardt
, Bert Zwart

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

7 Downloads (Pure)

Abstract

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.

Original language	English
Pages (from-to)	29-45
Number of pages	17
Journal	Probability in the engineering and informational sciences
Volume	16
Issue number	1
DOIs	https://doi.org/10.1017/S0269964802161031
Publication status	Published - 2002

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A tandem fluid queue with gradual input

Abstract

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