Coherent systems and Marshall-Olkin run shock models are combined. Coherent systems consisting of n components receive some kind of shocks from n+1 different sources similar to Marshall-Olkin type. More precisely, when the component j receives k consecutive fatal shocks from the source j or k consecutive fatal shocks from the source n+1, it fails, j = 1, …,n. When the interarrival time of shocks has phase-type distribution, reliability, mean time to failure (MTTF) and mean residual life (MRL) function of the coherent systems are studied. Numerical examples and graphical representations are provided.
Phase-type distributions Coherent system Marshall-Olkin distribution Reliability Mean residual lifetime
Birincil Dil | İngilizce |
---|---|
Konular | Mühendislik |
Bölüm | Articles |
Yazarlar | |
Yayımlanma Tarihi | 20 Mart 2020 |
Gönderilme Tarihi | 19 Eylül 2019 |
Kabul Tarihi | 23 Mart 2020 |
Yayımlandığı Sayı | Yıl 2020 Cilt: 8 Sayı: 1 |
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