Stability analysis of regenerative queueing systems

Stability analysis of regenerative queueing systems

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Article ID: iaor201071
Volume: 70
Issue: 12
Start Page Number: 1977
End Page Number: 1991
Publication Date: Dec 2009
Journal: Automation and Remote Control
Authors: ,
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.

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