Stability analysis of regenerative queueing systems

Evsey V. Morozov · Rosario Delgado

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Advanced Queuing Theory Analysis Petri Nets in System Modeling Age of Information Optimization

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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References

1987Applied Probability and Queues 2003Applied Probability and Queues 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models 1986Asymptotic Methods in Queueing Theory.1995Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines 1985Asymptotic methods in queueing theory 1990The stability of open queueing networks 1997The tightness in the ergodic analysis of regenerative queueing processes

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