Distributional Properties of Fluid Queues Busy Period and First Passage Times

Zbigniew Palmowski
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Zbigniew Palmowski: Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology, ul. Wyb. Wyspiańskiego 27, 50-370 Wrocław, Poland

Mathematics, 2020, vol. 8, issue 11, 1-4

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

Keywords: fluid queue; busy period; IFR and DFR distributions; Laplace transform (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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