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Article Citation - WoS: 3Citation - Scopus: 8Consecutive k-within-m< System With Nonidentical Components(Hindawi Ltd, 2012) Eryilmaz, SerkanAs a generalisation of consecutive k-out-of-n:F and k-out-of-n:F system models, a consecutive k-within-m-out-of-n: F system consists of n linearly ordered components and fails if and only if there are m consecutive components which include among them at least k failed components. In this paper, we study the survival function of a consecutive k-within-m-out-of-n:F system consisting of independent but nonidentical components. We obtain exact expressions for the survival function when 2m >= n. A detailed analysis for consecutive 2-within-m-out-of-n:F systems is presented and the asymptotic behaviour of hazard rate of these systems is investigated using mixture representations.Article Citation - WoS: 8Citation - Scopus: 9Life Behavior of a System Under Discrete Shock Model(Hindawi Ltd, 2012) Eryilmaz, SerkanWe study the life behavior of a system which is subjected to shocks of random magnitudes over discrete time periods. We obtain the survival function and mean time to failure of the system assuming that the sizes of the shocks follow a discrete probability distribution under cumulative and mixed shock models.
