Stability Analysis of a Multi-class Retrial Queue with General Retrials and Classical Retrial Policy

We deal with a single server multi-class retrial model, feed by Poisson input. The system is considered under classical retrial policy, while inter-retrial times are class dependent an generally distributed. Such system have various applications like multi-access protocols or cellular mobile network...

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Bibliographic Details
Main Author: Ruslana Nekrasova
Format: Article
Language:English
Published: FRUCT 2021-01-01
Series:Proceedings of the XXth Conference of Open Innovations Association FRUCT
Subjects:
Online Access:https://www.fruct.org/publications/fruct28/files/Nek.pdf
Description
Summary:We deal with a single server multi-class retrial model, feed by Poisson input. The system is considered under classical retrial policy, while inter-retrial times are class dependent an generally distributed. Such system have various applications like multi-access protocols or cellular mobile networks, where blocked messages are sent again after some waiting period. We rely on regenerative approach and results from renewal theory to obtain the stability criterion of the system under consideration and present some simulation results, to illustrate that obtained condition could be extended to the case with general input.
ISSN:2305-7254
2343-0737