Assessment of Shock Models for a Particular Class of Intershock Time Distributions

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Tarih

2022

Dergi Başlığı

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Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Matrix-exponential distribution; Reliability; Repairable system; Shock model; Primary

Kaynak

Methodology and Computing In Applied Probability

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

24

Sayı

1

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