Approximation in an M/G/1 queueing system with breakdowns and repairs

Authors:
Karim ABBAS;Djamil AÏSSANI
Affiliations:
Laboratory of Modelization and Optimization of Systems, University of Bejaia, Algeria;Laboratory of Modelization and Optimization of Systems, University of Bejaia, Algeria
Venue:
VECoS'07 Proceedings of the First international conference on Verification and Evaluation of Computer and Communication Systems
Year:
2007

Citing 3
Cited 0

Fundamentals of queueing theory (2nd ed.).

Fundamentals of queueing theory (2nd ed.).
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An M/G/1 queue with second optional service and server breakdowns

Computers & Mathematics with Applications

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Abstract

In this paper, we study the strong stability in the M/G/1 queueing system with breakdowns and repairs after perturbation of the breakdown's parameter. Using the approximation conditions in the classical M/G/1 system, we obtain stability inequalities with exact computation of the constants. Thus, we can approximate the characteristics of the M/G/1 queueing system with breakdowns and repairs by the classical M/G/1 corresponding ones.