Dynamic modeling of general three-state k-out-of-n:G systems: Permanent-based computational results

Serkan Eryilmaz, Min Xie

    Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

    14 Citations (Scopus)

    Abstract

    This paper is concerned with dynamic reliability analysis of three-state k-out-of-n:G systems. It is assumed that the components and the systems can be in three states: perfect functioning, partial performance and complete failure. Using the concept of permanent, we study marginal and joint survival functions for the lifetime of two different three-state k-out-of-n:G systems that consist of independent and nonidentical components. Illustrative examples are also provided for the components which follow the Markov degradation process. © 2014 Elsevier B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)97-106
    JournalJournal of Computational and Applied Mathematics
    Volume272
    DOIs
    Publication statusPublished - 15 Dec 2014

    Research Keywords

    • Order statistics
    • Permanent
    • Reliability
    • Survival function

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