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  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Parallel and Consecutive-k-out-of-n< Systems Under Stochastic Deterioration
    (Elsevier Science inc, 2014) Eryilmaz, Serkan
    In this paper, we study parallel and consecutive-k-out-of-n:F systems consisting of components which are subject to random deterioration with time. The random deterioration in resistance of a component is defined through a stochastic process. We obtain lifetime distribution of a parallel system via classical probabilistic techniques. The lifetime distribution of a consecutive-k-out-of-n:F system is derived using the lifetime distribution of parallel systems and the concept of maximal signature. We also study the optimal replacement time for a parallel system. We present illustrative computational results using MATHCAD. (C) 2013 Elsevier Inc. All rights reserved.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 29
    On Reliability Analysis of a Two-Dependent Series System With a Standby Unit
    (Elsevier Science inc, 2012) Eryilmaz, Serkan; Tank, Fatih
    In this paper we study a series system with two active components and a single cold standby unit. The two simultaneously working components are assumed to be dependent and this dependence is modeled by a copula function. In particular, we obtain an explicit expression for the mean time to failure of the system in terms of the copula function and marginal lifetime distributions. We also provide illustrative numerical results for different copula functions and marginal lifetime distributions. (c) 2012 Elsevier Inc. All rights reserved.