Systems with randomly failing repairable components

Armen Der Kiureghian, Ove Dalager Ditlevsen, Junho Song

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    Closed-form expressions are derived for the steady-state availability, mean rate of failure, mean duration of downtime and reliability of a general system with randomly and independently failing repairable components. Component failures are assumed to be homogeneous Poisson events in time and repair durations are assumed to be exponentially distributed. The results are expressed in terms of the mean rates of failure and mean durations of repair of the individual components. These expressions also allow derivation of closedform expressions for the rates of change of the various probabilistic system performance measures with respect to the mean rate of failure and the mean duration of repair of each component. These expressions provide a convenient framework for identifying important components within the system and for decisionmaking aimed at upgrading the system availability or reliability, or reducing the mean duration of system downtime. Example applications to an electrical substation system demonstrate the use of the formulas developed in the paper.
    Original languageEnglish
    Title of host publicationSafety and Reliability of Engineering Systems and Structures
    Number of pages690
    VolumeBook of abstracts and CD-ROM with full texts
    Place of PublicationRotterdam, Netherlands
    Publication date2005
    ISBN (Print)90-5966-040-4
    Publication statusPublished - 2005
    Event9th International Conference on Structural Safety and Reliability - Rome, Italy
    Duration: 19 Jun 200523 Jun 2005


    Conference9th International Conference on Structural Safety and Reliability


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