Product forms for stochastic interference systems

N.M. Dijk, van, J.P. Veltkamp

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

    4 Citaten (Scopus)

    Samenvatting

    Systems are studied that consist of interfering components which are alternatively active (busy) and passive (idle) for random periods. Such systems naturally arise from the performance evaluation of computer models. A concrete invariance condition is imposed on the interferences allowed. Under this condition, the steady-state vector of active components is shown to be of product form as well as to be robust to distributional forms of active and passive periods. The proof is simple and self-contained. A number of concrete and generic examples is provided. These include resource sharing mechanisms, hierarchical circuit switchings, parallel processing, priorities, and breakdowns.
    Originele taal-2Engels
    Pagina's (van-tot)355-376
    TijdschriftProbability in the Engineering and Informational Sciences
    Volume2
    Nummer van het tijdschrift3
    DOI's
    StatusGepubliceerd - 1988

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