Product forms for availability

    Research output: Book/ReportReportProfessional

    Abstract

    This paper shows and illustrates that product form expressions for the steady state distribution, as known for queueing networks, can also be extended to a class of availability models. This class allows breakdown and repair rates from one component to depend on the status of other components. Common resource capacities and repair priorities, for example, are included. Conditions for the models to have a product form are stated explicitly. This product form is shown to be insensitive to the distributions of the underlying random variables, i.e. to depend only on their means. Further it is briefly indicated how queueing for repair can be incorporated. Novel product form examples are presented of a simple series/parallel configuration, a fault tolerant database system and a multi-stage interconnection network.
    Original languageEnglish
    PublisherUniversity of Twente
    Number of pages18
    Publication statusPublished - 1990

    Publication series

    NameMemoranda informatica
    PublisherUniversity of Twente
    Volume37
    ISSN (Print)0924-3755

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