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COAR Access Rights: metadata only accessSubject: shock model

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Now showing 1 - 4 of 4
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    Article
    Citation - WoS: 30
    Citation - Scopus: 34
    Discrete Time Shock Models in a Markovian Environment
    (Ieee-inst Electrical Electronics Engineers inc, 2016) Eryilmaz, Serkan
    This paper deals with two different shock models in a Markovian environment. We study a system from a reliability point of view under these two shock models. According to the first model, the system fails if the cumulative shock magnitude exceeds a critical level, while in the second model the failure occurs when the cumulative effect of the shocks in consecutive periods is above a critical level. The shock occurrences over discrete time periods are assumed to be Markovian. We obtain expressions for the failure time distributions of the system under the two model. Illustrative computational results are presented for the survival probabilities and mean time to failure values of the system.
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    Article
    Citation - WoS: 27
    Citation - Scopus: 31
    Generalized Extreme Shock Models and Their Applications
    (Taylor & Francis inc, 2020) Bozbulut, Ali Riza; Eryilmaz, Serkan
    In the classical extreme shock model, the system fails due to a single catastrophic shock. In this paper, by assuming different arrival patterns of the shocks, two new types of extreme shock models are introduced. In these models, m possible sources may exert shocks on the system. Both models reduce to the classical extreme shock model when m = 1. Assuming phase-type distribution for times between successive shocks, we obtain survival functions and mean time to failure values of the system under new models. Two different optimization problems are also considered to determine the optimal number of sources.
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    Article
    Citation - WoS: 26
    Citation - Scopus: 28
    Reliability Assessment for Discrete Time Shock Models Via Phase-Type Distributions
    (Wiley, 2021) Eryilmaz, Serkan; Kan, Cihangir
    In this paper, particular shock models are studied for the case when the times between successive shocks and the magnitudes of shocks have discrete phase-type distributions. The well-known shock models such as delta shock model, extreme shock model, and the mixed shock model which is obtained by combining delta and extreme shock models are considered. The probability generating function and recursive equation for the distribution of the system's lifetime are obtained for the cases when the interarrival times between shocks and the magnitudes of shocks are independent and when they are dependent. System reliability is computed for particular interarrival distributions such as geometric, negative Binomial and generalized geometric distributions.
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    Article
    Citation - WoS: 12
    Citation - Scopus: 13
    A NEW SHOCK MODEL WITH A CHANGE IN SHOCK SIZE DISTRIBUTION
    (Cambridge Univ Press, 2021) Eryilmaz, Serkan; Kan, Cihangir
    For a system that is subject to shocks, it is assumed that the distribution of the magnitudes of shocks changes after the first shock of size at least d(1), and the system fails upon the occurrence of the first shock above a critical level d(2) (> d(1)). In this paper, the distribution of the lifetime of such a system is studied when the times between successive shocks follow matrix-exponential distribution. In particular, it is shown that the system's lifetime has matrix-exponential distribution when the intershock times follow Erlang distribution. The model is extended to the case when the system fails upon the occurrence of l consecutive critical shocks.