On a tandem queueing model with identical service times at both counters, II

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    Samenvatting

    This paper is devoted to the practical implications of the theoretical results obtained in Part I [1] for queueing systems consisting of two single-server queues in series in which the service times of an arbitrary customer at both queues are identical. For this purpose some tables and graphs are included. A comparison is made--mainly by numerical and asymptotic techniques--between the following two phenomena: (i) the queueing behaviour at the second counter of the two-stage tandem queue and (ii) the queueing behaviour at a single-server queue with the same offered (Poisson) traffic as the first counter and the same service-time distribution as the second counter. This comparison makes it possible to assess the influence of the first counter on the queueing behaviour at the second counter. In particular we note that placing the first counter in front of the second counter in heavy traffic significantly reduces both the mean and variance of the total time spent in the second system.
    Originele taal-2Engels
    Pagina's (van-tot)644-659
    Aantal pagina's16
    TijdschriftAdvances in Applied Probability
    Volume11
    Nummer van het tijdschrift3
    DOI's
    StatusGepubliceerd - 1979

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