Occupation times for the finite buffer fluid queue with phase-type ON-times

N.J. Starreveld; R. Bekker; M. Mandjes

doi:10.1016/j.orl.2017.10.012

Occupation times for the finite buffer fluid queue with phase-type ON-times

N.J. Starreveld
, R. Bekker
, M. Mandjes

Stochastic Operations Research

Research output: Contribution to journal › Article › Academic › peer-review

3 Citations (Scopus)

Abstract

In this short communication we study a fluid queue with a finite buffer. The performance measure we are interested in is the occupation time over a finite time period, i.e., the fraction of time the workload process is below some fixed target level. Using an alternating renewal sequence, we determine the double transform of the occupation time; the occupation time for the finite buffer M/G/1 queue with phase-type jumps follows as a limiting case.

Original language	English
Pages (from-to)	27-32
Number of pages	6
Journal	Operations Research Letters
Volume	46
Issue number	1
DOIs	https://doi.org/10.1016/j.orl.2017.10.012
Publication status	Published - 1 Jan 2018

Funding

We would like to thank the Associate Editor for his inspiring comments and the anonymous referee who provided us with thoughtful comments. Their suggestions helped us improve the paper significantly. The research of N. Starreveld and M. Mandjes is partly funded by the NWO Gravitation project N etworks , Grant Number 024.002.003 .

Keywords

Doubly reflected process
Finite buffer queue
Fluid model
Occupation time
Phase-type distribution

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10.1016/j.orl.2017.10.012

Cite this

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KW - Doubly reflected process

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KW - Fluid model

KW - Occupation time

KW - Phase-type distribution

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Occupation times for the finite buffer fluid queue with phase-type ON-times

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Keywords

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