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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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          Most cited references 10

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          Some Queuing Problems with the Service Station Subject to Breakdown

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            Queuing with Breakdowns

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              A single-server M/G/1 queueing system subject to breakdowns—some reliability and queueing problems

               Ying Hui Tang (1997)
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                Author and article information

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

                University of Bejaia, 06000(Algeria)
                Article
                10.14236/ewic/VECOS2007.13
                © 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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