Bounds and asymptotics for the rate of convergence of birth-death processes

Erik A. van Doorn, Alexander I. Zeifman, Tatyana L. Panfilova

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    Abstract

    We survey a method initiated by one of us in the 1990's for finding bounds and representations for the rate of convergence of a birth-death process. We also present new results obtained by this method for some specific birth-death processes related to mean-field models and to the $M/M/N/N+R$ service system. The new findings pertain to the asymptotic behaviour of the rate of convergence as the number of states tends to infinity.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages22
    Publication statusPublished - Sep 2008

    Publication series

    NameMemorandum
    PublisherUniversity of Twente, Department of Applied Mathematics
    No.Supplement/1882
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • IR-64993
    • EWI-13481
    • MSC-60J80
    • MSC-60J27
    • METIS-251193

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