Stability analysis of regenerative queueing systems

Authors:
E. Morozov;R. Delgado
Affiliations:
Institute for Applied Mathematical Research, Karelian Research Centre Russian Academy of Sciences, Petrozavodsk, Russia;Department of Mathematics, University Autonomous of Barcelona, Barcelona, Spain
Venue:
Automation and Remote Control
Year:
2009

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Abstract

This survey paper is devoted to stability analysis of regenerative queueing systems. The method is based on the renewal technique and allows to obtain simple proofs of the sufficient stability conditions which are close to being necessary. The applicability of the method is illustrated by a number of well-known and also less known queueing systems. An extension of the method to the systems under arbitrary initial states is given.