Transient analysis of Markov-fluid-driven queues

Authors	A. Es-Saghouani M. Mandjes
Publication date	2011
Journal	Top : An Official Journal of the Spanish Society of Statistics and Operations Research
Volume | Issue number	19 | 1
Pages (from-to)	35-53
Number of pages	19
Organisations	Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract	In this paper we study two transient characteristics of a Markov-fluid-driven queue, viz., the busy period and the covariance function of the workload process. Both metrics are captured in terms of their Laplace transforms. Relying on sample-path large deviations, we also identify the logarithmic asymptotics of the probability that the busy period lasts longer than t, as t→∞. Examples illustrating the theory are included.
Document type	Article
Language	English
Published at	https://doi.org/10.1007/s11750-009-0078-3
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