Modeling systems with two dependent components under bivariate shock models

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Date

2019

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Taylor & Francis inc

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Abstract

Series and parallel systems consisting of two dependent components are studied under bivariate shock models. The random variables N-1 and N-2 that represent respectively the number of shocks until failure of component 1 and component 2 are assumed to be dependent and phase-type. The times between successive shocks are assumed to follow a continuous phase-type distribution, and survival functions and mean time to failure values of series and parallel systems are obtained in matrix forms. An upper bound for the joint survival function of the components is also provided under the particular case when the times between shocks follow exponential distribution.

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Eryilmaz, Serkan/0000-0002-2108-1781

Keywords

Phase-type distributions, Reliability, Shock model

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6

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Q4

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Volume

48

Issue

6

Start Page

1714

End Page

1728

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