This article is cited in 1 paper

Papers to the reports presented at the XXIX International Seminar on Stability Problems for Stochastic Models (Svetlogorsk Kaliningrad region, Russia, 10–16 October 2011)

On the estimation of the overflow probability in regenerative finite buffer queueing systems

E. V. Morozov^ab, R. S. Nekrasova<sup>ba

a</sup> Institute of Applied Mathematical Research, Karelian Research Centre, RAS, Petrozavodsk
^b Petrozavodsk State University

Abstract: A few aspects of the regenerative estimation of the stationary overflow probability in finite buffer system are considered. A proof of a general relation connecting the loss probability and idle probability in stationary regime is given. An application of this result to a broad class of loss systems, in particular, to a retrial system with constant retrial rate, is shown. An efficiency of this relation for regenerative estimation of the loss probability under different traffic regimes and also with use of $k$-regenerations, appearing in the analysis of non-Markovian systems, is studied. The numerical results of estimation are given.

Keywords: finite buffer systems; loss probability; idle probability; regenerative estimation; $k$-regenerations; retrial queueing system.