Product forms for stochastic interference systems

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

    Research output: Contribution to journalArticleAcademicpeer-review

    4 Citations (Scopus)

    Abstract

    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.
    Original languageEnglish
    Pages (from-to)355-376
    JournalProbability in the Engineering and Informational Sciences
    Volume2
    Issue number3
    DOIs
    Publication statusPublished - 1988

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