Component importance for linear consecutive- k -Out-of- n and m -Consecutive- k -Out-of- n systems with exchangeable components

Authors

  • Serkan Eryilmaz

    Corresponding author
    1. Department of Industrial Engineering, Atilim University, Incek 06836, Ankara, Turkey
    • Department of Industrial Engineering, Atilim University, Incek 06836, Ankara, Turkey
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Abstract

Measuring the relative importance of components in a mechanical system is useful for various purposes. In this article, we study Birnbaum and Barlow-Proschan importance measures for two frequently studied system designs: linear consecutive k -out-of- n and m -consecutive- k -out-of- n systems. We obtain explicit expressions for the component importance measures for systems consisting of exchangeable components. We illustrate the results for a system whose components have a Lomax type lifetime distribution. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013

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