Assessment of Shock Models for a Particular Class of Intershock Time Distributions
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Date
2022
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
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.
Description
Eryilmaz, Serkan/0000-0002-2108-1781
Keywords
Matrix-exponential distribution, Reliability, Repairable system, Shock model, Primary
Turkish CoHE Thesis Center URL
Citation
15
WoS Q
Q4
Scopus Q
Q3
Source
Volume
24
Issue
1
Start Page
213
End Page
231