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Published in:
2015 | OriginalPaper | Chapter
On Convergence Rate to Stationarity of Queues with General Gaussian Input
Authors : Oleg Lukashenko, Evsey Morozov
Published in: Analytical and Stochastic Modelling Techniques and Applications
Publisher: Springer International Publishing
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The paper studies the rate of convergence to stationarity of the fluid queueing system with a constant service rate which is fed by a Gaussian process with stationary increments. It is assumed that variance of the input process is regularly varying with index
$$2H\in (1,\,2)$$
. It is proved that the convergence rate is exactly the same that has been obtained for the fluid system fed by the corresponding fractional Brownian motion.