Two identical communication channels in series with a finite intermediate buffer and overflow

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    Abstract

    The queueing analysis of store and forward data communication networks is complicated by the fact that messages preserve their length as they traverse the system: in the queueing model service times of a message at successive queues (channels) are dependent. The present study considers the case of two communication channels in series with identical capacities and with a finite intermediate buffer. That part of a message for which there is no room in the buffer is lost. The resulting queueing model of two queues in series with identical service requirements at both queues is extensively analysed. Results include the distribution of the response time in the second queue (time in buffer plus transmission time in second channel) and of the total amount of work in the second queue. A comparison is made with the analogous queueing model with independent service requirements.
    Original languageEnglish
    Title of host publicationModelling and Performance Evaluation Methodology (Proceedings of the International Seminar, Paris, France, January 24-26, 1983)
    EditorsF. Baccelli, G. Fayolle
    Place of PublicationBerlin
    PublisherSpringer
    Pages613-638
    Number of pages26
    ISBN (Electronic)978-3-540-38838-8
    ISBN (Print)3-540-13288-0, 978-3-540-13288-2
    DOIs
    Publication statusPublished - 1984

    Publication series

    NameLecture Notes in Control and Information Sciences
    Volume60
    ISSN (Print)0170-8643

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