On the coherent systems subject to Marshall-Olkin type shocks

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Mathematical Sciences and Applications E-Notes
Volume:8 Issue:1
On the coherent systems subject to Marshall-Olkin type shocks

On the coherent systems subject to Marshall-Olkin type shocks

Authors : Murat OZKUT, Cihangir KAN

Pages : 185-192

Doi:10.36753/mathenot.621901

View : 38 | Download : 9

Publication Date : 2020-03-20

Article Type : Research Paper

Abstract :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 insert ignore into journalissuearticles values(MTTF); and mean residual life insert ignore into journalissuearticles values(MRL); function of the coherent systems are studied. Numerical examples and graphical representations are provided.
Keywords : Phase type distributions, Coherent system, Marshall Olkin distribution, Reliability, Mean residual lifetime

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