A. I. Zeifman, Ya. A. Satin, A. V. Korotysheva, N. A. Tereshina, “On the limiting characteristics for <nobr>$M(t)/M(t)/S$</nobr> queue with catastrophes”, Inform. Primen., 2009, Volume 3, Issue 3,Pages <nobr>16

This article is cited in 3 papers

On the limiting characteristics for $M(t)/M(t)/S$ queue with catastrophes

A. I. Zeifman^abc, Ya. A. Satin^a, A. V. Korotysheva^a, N. A. Tereshina^a

^a Vologda State Pedagogical University
^b Institute for Problems of Informatics RAS
^c Vologda of Science-Coordination CEMI RAS

Abstract: An $M(t)/M(t)/S$ queue with catastrophes is considered and it is supposed that the catastrophes rates depend on the length of the queue. Sufficient conditions for weak ergodicity of the respective queue-length process and the respective bounds are obtained. Some examples are also considered.

Keywords: nonstationary Markovian queueing system; birth and death process with catastrophes; weak ergodicity; bounds; limiting characteristics; approximation.