A sample path approach to mean busy periods for Markov-modulated queues and fluids

Author:

Asmussen Søren,Bladt Mogens

Abstract

The mean busy period of a Markov-modulated queue or fluid model is computed by an extension of the time-reversal argument connecting the steady-state distribution and the maximum of a related Markov additive process.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Weighted Dyck paths and nonstationary queues;Stochastic Models;2022-01-08

2. A spectral theory approach for extreme value analysis in a tandem of fluid queues;Queueing Systems;2014-02-28

3. Busy period analysis for M/PH/1 queues with workload dependent balking;Queueing Systems;2008-05

4. Sample Path Analysis of Busy Periods and Related First Passages of a Correlated MEP/MEP/1 System;Fourth International Conference on the Quantitative Evaluation of Systems (QEST 2007);2007-09

5. Mean first passage times in fluid queues;Operations Research Letters;2002-10

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