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

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      First International Workshop on Verification and Evaluation of Computer and Communication Systems (VECoS 2007) (VECOS)

      Verification and Evaluation of Computer and Communication Systems

      5-6 May 2007

      M/G/1 queueing system, Breakdowns, Perturbation, Approximation, Strong stability, Stability inequalities

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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.

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            Author and article information

            Contributors
            Conference
            May 2007
            May 2007
            : 1-9
            Affiliations
            [0001]Laboratory of Modelization and Optimization of Systems

            University of Bejaia, 06000(Algeria)
            Article
            10.14236/ewic/VECOS2007.13
            ab1194c0-e337-44ad-b7e2-9b3508134cb8
            © Karim ABBAS et al. Published by BCS Learning and Development Ltd. First International Workshop on Verification and Evaluation of Computer and Communication Systems (VECoS 2007), Algiers, Algeria

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            First International Workshop on Verification and Evaluation of Computer and Communication Systems (VECoS 2007)
            VECOS
            1
            Algiers, Algeria
            5-6 May 2007
            Electronic Workshops in Computing (eWiC)
            Verification and Evaluation of Computer and Communication Systems
            Product
            Product Information: 1477-9358BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Categories
            Electronic Workshops in Computing

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