A. I. Zeifman, A. V. Korotysheva, T. L. Panfilova, S. Ya. Shorgin, “Stability bounds for some queueing systems with catastrophes”, Inform. Primen., 2011, Volume 5, Issue 3,Pages <nobr>27

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Stability bounds for some queueing systems with catastrophes

A. I. Zeifman^abc, A. V. Korotysheva^b, T. L. Panfilova^b, S. Ya. Shorgin^a

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

Abstract: Continuous-time Markovian queueing models with catastrophes are considered. The bounds of stability for some characteristics of such systems are obtained. Also, a queueing example is considered.

Keywords: nonstationary queues; Markovian models with catastrophes; stability bounds; approximations for limiting characteristics.