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arXiv · 2011.04005

Distributional properties of fluid queues busy period and first passage times

Zbigniew Palmowski
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Abstract

In this paper we analyze the distributional properties of a busy period in an on-off fluid queue and the a first passage time in a fluid queue driven by a finite state Markov process. In particular, we show that in Anick-Mitra-Sondhi model the first passage time has a IFR distribution and the busy period has a DFR distribution.

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Zbigniew Palmowski. 2020-11-08. Distributional properties of fluid queues busy period and first passage times. https://doi.org/10.3390/math8111988

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