arXiv:2011.04005 Abstract | arXiv Analytics

arXiv:2011.04005 [math.PR]Abstract References Reviews Resources

Distributional properties of fluid queues busy period and first passage times

Published 2020-11-08Version 1

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.

DOI: 10.3390/math8111988

Categories: math.PR

Keywords: first passage time, fluid queues busy period, distributional properties, finite state markov process, on-off fluid queue

Tags: journal article

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