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

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.