Simple bounds and monotonicity results for finite multi-server exponential tandem queues

N.M. Dijk, van, J. Wal, van der

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    Samenvatting

    Simple and computationally attractive lower and upper bounds are presented for the call congestion such as those representing multi-server loss or delay stations. Numerical computations indicate a potential usefulness of the bounds for quick engineering purposes. The bounds correspond to product-form modifications and are intuitively appealing. A formal proof of the bounds and related mono tonicity results will be presented. The technique of this proof, which is based on Markov reward theory, is of interest in itself and seems promising for further application. The extension to the non-exponential case is discussed. For multi-server loss stations the bounds are argued to be insensitive. Keywords: Tandem queues, product form, call congestion, bounds, monotonicity results, Markov chains.
    Originele taal-2Engels
    Plaats van productieEindhoven
    UitgeverijTechnische Universiteit Eindhoven
    Aantal pagina's17
    StatusGepubliceerd - 1987

    Publicatie series

    NaamMemorandum COSOR
    Volume8737
    ISSN van geprinte versie0926-4493

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