A new mixed ?-shock model with a change in shock distribution

[ X ]

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, reliability properties of a system that is subject to a sequence of shocks are investigated under a particular new change point model. According to the model, a change in the distribution of the shock magnitudes occurs upon the occurrence of a shock that is above a certain critical level. The system fails when the time between successive shocks is less than a given threshold, or the magnitude of a single shock is above a critical threshold. The survival function of the system is studied under both cases when the times between shocks follow discrete distribution and when the times between shocks follow continuous distribution. Matrix-based expressions are obtained for matrix-geometric discrete intershock times and for matrix-exponential continuous intershock times, as well.

Açıklama

Anahtar Kelimeler

Delta shock model; Mixed shock model; Matrix-geometric distributions; Matrix-exponential distributions; Reliability

Kaynak

Top

WoS Q Değeri

Q4

Scopus Q Değeri

Cilt

31

Sayı

3

Künye