Dergiler / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 1

On the Coherent Systems Subject to Marshall-Olkin Type Shocks

On the Coherent Systems Subject to Marshall-Olkin Type Shocks

Murat ÖZKUT, Cihangir KAN

Sayfa
185–192
DOI
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Abstract

Coherent systems and Marshall-Olkin run shock models are combined. Coherent systems consistingof n components receive some kind of shocks from n + 1 different sources similar to Marshall-Olkintype. More precisely, when the component j receive k consecutive fatal shocks from the source j or kconsecutive fatal shocks from the source n+ 1, it fails, j = 1, . . . ,n. When the interarrival time of shocks hasphase-type distribution, reliability, mean time to failure (MTTF) and mean residual life (MRL) function ofthe coherent systems are studied. Numerical examples and graphical representations are provided.