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Author: Triantafyllou, Ioannis S.Scopus Q: Q2

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    Citation - WoS: 44
    Citation - Scopus: 52
    Signature Based Analysis of m-consecutive-k< f Systems With Exchangeable Components
    (Wiley-blackwell, 2011) Eryilmaz, Serkan; Koutras, Markos V.; Triantafyllou, Ioannis S.
    In this article, we study reliability properties of m-consecutive-k-out-of-n: F systems with exchangeable components. We deduce exact formulae and recurrence relations for the signature of the system. Closed form expressions for the survival function and the lifetime distribution as a mixture of the distribution of order statistics are established as well. These representations facilitate the computation of several reliability characteristics of the system for a given exchangeable joint distribution or survival function. Finally, we provide signature-based stochastic ordering results for the system's lifetime and investigate the IFR preservation property under the formulation of m-consecutive-k-out-of-n: F systems. (C) 2011 Wiley Periodicals, Inc. Naval Research Logistics 58: 344-354, 2011
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    Citation - WoS: 9
    Citation - Scopus: 12
    Stochastic Comparisons Between Lifetimes of Reliability Systems With Exchangeable Components
    (Springer, 2016) Koutras, Markos V.; Triantafyllou, Ioannis S.; Eryilmaz, Serkan
    In this article we present several results pertaining to the stochastic comparison of the lifetimes of two reliability systems with exchangeable components. More specifically, we provide signature-based sufficient and necessary conditions for establishing hazard rate and reverse hazard rate orderings. Finally, focusing on the class of consecutive-type systems, we illustrate how the general results can be exploited to deduce several stochastic orderings among members of this class.