An intermittent fluid system with exponential on-times and semi-Markov input rates

O.J. Boxma, O. Kella, D. Perry

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)

Abstract

We consider a fluid system in which during off-times the buffer content increases as a piecewise linear process according to some general semi-Markov process, and during on-times, it decreases with a state-dependent rate (or remains at zero). The lengths of off-times are exponentially distributed. We show that such a system has a stationary distribution which satisfies a decomposition property where one component in the decomposition is associated with some dam process and the other with a clearing process. For the cases of constant and linear decrease rates, the steady-state Laplace–Stieltjes transform and moments of the buffer content are computed explicitly.
Original languageEnglish
Pages (from-to)189-198
JournalProbability in the Engineering and Informational Sciences
Volume15
Issue number2
DOIs
Publication statusPublished - 2001

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