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  • Article
    Citation - WoS: 56
    Citation - Scopus: 58
    Reliability Analysis Under Marshall-Olkin Run Shock Model
    (Elsevier, 2019) Ozkut, Murat; Eryilmaz, Serkan
    In this paper, a new shock model called Marshall-Olkin run shock model is defined and studied. According to the model, two components are subject to shocks that may arrive from three different sources, and component i fails when it is subject to k consecutive critical shocks from source i or k consecutive critical shocks from source 3, i = 1, 2. Reliability and mean residual life functions of such components are studied when the times between shocks follow phase-type distribution. (C) 2018 Elsevier B.V. All rights reserved.
  • Article
    Citation - WoS: 60
    Citation - Scopus: 64
    Computing Optimal Replacement Time and Mean Residual Life in Reliability Shock Models
    (Pergamon-elsevier Science Ltd, 2017) Eryilmaz, Serkan
    In this paper, matrix-based methods are presented to compute the optimal replacement time and mean residual lifetime of a system under particular class of reliability shock models. The times between successive shocks are assumed to have a common continuous phase-type distribution. The system's lifetime is represented as a compound random variable and some properties of phase-type distributions are utilized. Extreme shock model, run shock model, and generalized extreme shock model are shown to be the members of this class. Graphical illustrations and numerical examples are presented for the run shock model when the interarrival times between shocks follow Erlang distribution. (C) 2016 Elsevier Ltd. All rights reserved.