Decomposition-Based Queueing Network Analysis with FiFiQueues

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    Abstract

    In this paper we present an overview of decomposition-based analysis techniques for large open queueing networks. We present a general decomposition-based solution framework, without referring to any particular model class, and propose a general fixed-point iterative solution method for it. We concretize this framework by describing the well-known QNA method, as proposed by Whitt in the early 1980s, in that context, before describing our FiFiQueues approach. FiFiQueues allows for the efficient analysis of large open queueing networks of which the interarrival and service time distributions are of phase-type; individual queues, all with single servers, can have bounded or unbounded buffers. Next to an extensive evaluation with generally very favorable results for FiFiQueues, we also present a theorem on the existence of a fixed-point solution for FiFiQueues.
    Original languageUndefined
    Title of host publicationQueueing Networks: A Fundamental Approach
    EditorsRichardus J. Boucherie, Nico van Dijk, Nico M. van Dijk
    Place of PublicationNew York
    PublisherSpringer
    Pages643-699
    Number of pages57
    ISBN (Print)9781441964717
    DOIs
    Publication statusPublished - 2011

    Publication series

    NameInternational Series in Operations Research & Management Science
    PublisherSpringer Verlag
    Number154
    Volume154
    ISSN (Print)0884-8289

    Keywords

    • METIS-277480
    • Decomposition
    • IR-75077
    • EWI-19213
    • QNA
    • Fixed-point
    • Queueing networks

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