A. I. Zeifman, A. V. Korotysheva, Ya. A. Satin, S. Ya. Shorgin, “On stability for nonstationary queueing systemswith catastrophes”, Inform. Primen., 2010, Volume 4, Issue 3,Pages <nobr>9

This article is cited in 4 papers

On stability for nonstationary queueing systemswith catastrophes

A. I. Zeifman^abc, A. V. Korotysheva^b, Ya. A. Satin^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: Nonstationary birth and death processes (BDPs) 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; limiting characteristics; approximations.