A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, S. Ya. Shorgin, “Bounds in null ergodic case for some queueing systems”, Inform. Primen., 2012, Volume 6, Issue 4,Pages <nobr>27

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Bounds in null ergodic case for some queueing systems

A. I. Zeifman^abcd, A. V. Korotysheva^c, Ya. A. Satin^c, S. Ya. Shorgin^b

^a VSCC CEMI RAS
^b Institute for Problems of Informatics of RAS
^c Vologda State Pedagogical University
^d Institute of Socio-Economic Development of Territories, Russian Academy of Sciences, Vologda

Abstract: Markovian queueing models with batch arrivals and group services are considered. The bounds on the rate of convergence in null ergodic situation are obtained. Also, a class of such queueing systems is considered.

Keywords: nonstationary queueing systems with batch arrivals and group services; null ergodicity; bounds.