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

Citation
Asmussen, Søren et Bladt, Mogens, A sample path approach to mean busy periods for Markov-modulated queues and fluids, Advances in applied probability , 26(4), 1994, pp. 1117-1121
ISSN journal
00018678
Volume
26
Issue
4
Year of publication
1994
Pages
1117 - 1121
Database
ACNP
SICI code
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.