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Article Citation - WoS: 14Citation - Scopus: 16Joint Reliability Importance in Coherent Systems With Exchangeable Dependent Components(Ieee-inst Electrical Electronics Engineers inc, 2016) Eryilmaz, Serkan; Oruc, Ozlem Ege; Oger, VolkanIn this paper, a general formula for computing the joint reliability importance of two components is obtained for a binary coherent system that consists of exchangeable dependent components. Using the new formula, the joint reliability importance can be easily calculated if the path sets of the system are known. As a special case, an expression for the joint reliability importance of two components is also obtained for a system consisting of independent and identical components. Illustrative numerical results are presented to compare the joint reliability importance of two components in the bridge system for the two cases when the components are exchangeable dependent and when the components are independent and identical.Article Citation - WoS: 21Citation - Scopus: 29On Reliability Analysis of a Two-Dependent Series System With a Standby Unit(Elsevier Science inc, 2012) Eryilmaz, Serkan; Tank, FatihIn 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.Article Citation - WoS: 8Citation - Scopus: 13Joint Reliability Importance in a Binary k-out-of- n: G System With Exchangeable Dependent Components(Nctu-national Chiao Tung Univ Press, 2014) Mahmoud, Boushaba; Eryilmaz, SerkanIn this paper, we study joint reliability importance (JRI) in a k -out-of- n : G structure consisting of exchangeable dependent coimponents. We obtain a closed-form formula for the JRI of multiple components of a k -out-of- n : G system with dependent components. We illustrate the results for the k -out-of- n: G model under stress-strength setup. The results extend and generalize the results in the literature from various perspectives including exchangeable type dependence for the JRI of two components.Article Citation - WoS: 5Citation - Scopus: 6Computing Finite Time Non-Ruin Probability and Some Joint Distributions in Discrete Time Risk Model With Exchangeable Claim Occurrences(Elsevier, 2017) Eryilmaz, Serkan; Gebizlioglu, Omer L.In this paper, we study a discrete time risk model based on exchangeable dependent claim occurrences. In particular, we obtain expressions for the finite time non-ruin probability, and the joint distribution of the time to ruin, the surplus immediately before ruin, and the deficit at ruin. An illustration of the results is given and some implications of the results are provided. Comparisons are made with the corresponding results for the classical compound binomial model of independent and identically distributed claim occurrences. (C) 2016 Elsevier E.V. All rights reserved.Article Citation - WoS: 27Citation - Scopus: 27Joint Reliability Importance in Linear m-consecutive-k< F Systems(Ieee-inst Electrical Electronics Engineers inc, 2013) Eryilmaz, SerkanWe study the joint reliability importance (JRI) of two components in Lin/m/Con/k/n : F systems. A Lin/m/Con/k/n : F system consists of n linearly ordered binary components, and the system fails iff there are at least m nonoverlapping runs of k consecutive failed components (n >= mk). In particular, we obtain expressions for the JRI in Lin/m/Con/k/n : F systems when the components are s-independent & identical, when the components are s-independent & nonidentical, and when the components are exchangeable & s-dependent. We present extensive numerical illustrations.
