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Citation - WoS: 19
Citation - Scopus: 14
Assessment of Shock Models for a Particular Class of Intershock Time Distributions
(Springer, 2022) Kus, Coskun; Tuncel, Altan; Eryilmaz, Serkan
In this paper, delta and extreme shock models and a mixed shock model which combines delta-shock and extreme shock models are studied. In particular, the interarrival times between successive shocks are assumed to belong to a class of matrix-exponential distributions which is larger than the class of phase-type distributions. The Laplace -Stieltjes transforms of the systems' lifetimes are obtained in a matrix form. Survival functions of the systems are approximated based on the Laplace-Stieltjes transforms. The results are applied for the reliability evaluation of a certain repairable system consisting of two components.
Citation - WoS: 28
Citation - Scopus: 33
System Reliability Under Δ-Shock Model
(Taylor & Francis inc, 2018) Tuncel, Altan; Eryilmaz, Serkan
delta-shock model is one of the widely studied shock models in reliability. Under this model, the system fails when the time between two consecutive shocks falls below a fixed threshold . In this paper, the survival function and the mean time to failure of the system are obtained when the times between successive shocks follow proportional hazard rate model.