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Z. Saffer, M. Telek, G. Horváth:
"Fluid Polling System with Markov Modulated Load and Gated Discipline";
Talk: QTNA2018, Tsukuba City, Japan; 2018-07-25 - 2018-07-27; in: "Queueing Theory and Network Applications, Subtitle: 13th International Conference, QTNA 2018, Tsukuba, Japan, July 25-27, 2018, Proceedings", Y. Takahashi, T. Phung-Duc, S. Wittevrongel, W. Yue (ed.); (2018), ISBN: 978-3-319-93735-9; 86 - 102.

In this paper we provide an analysis for fluid polling models
with Markov modulated load and gated discipline. The fluid arrival to
the stations is modulated by a common continuous-time Markov chain.
The fluid is removed at the stations during the service period by a station dependent constant rate.
We build partly on the methods used previously in the analysis of
fluid vacation models with gated discipline. We establish steady-state relationships on Laplace transform level regarding the joint distribution of the fluid levels at the stations and the state of the modulating Markov chain among different characteristic epochs including start and end of the service at each station. We derive the steady-state vector Laplace transform of the fluid levels at the stations at arbitrary epoch and its mean.

Queueing theory · Fluid model · Polling system · Gated discipline

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