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    Analysis of Queueing Networks in Equilibrium: Numerical Steady-State Solutions of Markov Chains

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    Author
    Lokshina, Izabella V.
    Lanting, Cees J. M.
    Keyword
    Communication networks
    Markov Chains
    Numerical solutions
    Performance analysis
    Queueing networks in equilibrium
    Steady-state analysis
    Journal title
    International Journal of Interdisciplinary Telecommunications and Networking (IJITN)
    Date Published
    2020
    
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    URI
    http://hdl.handle.net/20.500.12648/7042
    Abstract
    Equilibria of queueing networks are a means for performance analysis of real communication networks introduced as Markov chains. In this paper, the authors developed, evaluated, and compared computational procedures to obtain numerical solutions for queueing networks in equilibrium with the use of direct, iterative, and aggregative techniques in steady-state analysis of Markov chains. Advanced computational procedures are developed with the use of Gaussian elimination, power iteration, Courtois’ decomposition, and Takahashi’s iteration techniques. Numerical examples are provided together with comparative analysis of obtained results. The authors consider these procedures are also applicable to other domains where systems are described with comparable queuing models and stochastic techniques are sufficiently relevant. Several suitable domains of applicability are proposed.
    Citation
    Lokshina, I. V. and Lanting, C. J. M. (2020). Analysis of Queueing Networks in Equilibrium: Numerical Steady-State Solutions of Markov Chains. International Journal of Interdisciplinary Telecommunications and Networking (IJITN), IGI Global. Vol. 12(4), pp. 1-17. DOI: 10.4018/IJITN.2020100101.
    DOI
    10.4018/IJITN.2020100101
    Description
    IGI GLOBAL AUTHORS, UNDER FAIR USE CAN: Post the final typeset PDF (which includes the title page, table of contents and other front materials, and the copyright statement) of their chapter or article (NOT THE ENTIRE BOOK OR JOURNAL ISSUE), on the author or editor's secure personal website and/or their university repository site. [Accessed 1/11/22 from https://www.igi-global.com/about/rights-permissions/content-reuse/]
    ae974a485f413a2113503eed53cd6c53
    10.4018/IJITN.2020100101
    Scopus Count
    Collections
    School of Liberal Arts and Business - Scholarly and Creative Works
    SUNY Oneonta Scholarly and Creative Works

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