A tandem fluid queue with gradual input

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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.
Original languageEnglish
Pages (from-to)29-45
Number of pages17
JournalProbability in the engineering and informational sciences
Issue number1
Publication statusPublished - 2002


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