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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: 2
Citation - Scopus: 2
On fusible rings
(Taylor & Francis inc, 2023) Gumusel, Guenseli; Kosan, M. Tamer; Zemlicka, Jan
A ring R is called left fusible if every nonzero element is the sum of a left zero-divisor and a non-left zero-divisor, and R is called uniquely left fusible if for any a is an element of R there exists a unique left zero-divisor z such that a - z is non-left zero-divisor. We show that a left fusible ring R is uniquely left fusible if and only if either R is a domain or R has a unique non-left zero-divisor element.