A. I. Zeifman, Ya. A. Satin, A. V. Chegodaev, “On nonstationary queueing systems with catastrophes”, Inform. Primen., 2009, Volume 3, Issue 1,Pages <nobr>47

This article is cited in 5 papers

On nonstationary queueing systems with catastrophes

A. I. Zeifman^abc, Ya. A. Satin^a, A. V. Chegodaev^a

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

Abstract: Nonstationary birth and death processes with catastrophes are considered. The bounds of the rate of convergence to the limit regime and the estimates of the limit probabilities are obtained. Also, the bounds for the mean of the process are studied and a queueing example is considered.

Keywords: nonstationary queues; Markovian models with catastrophes; weak ergodicity; bounds; limiting characteristics; approximations.