International Society of Science and Applied Technologies |
|
Reliability and Importance Measures for Combined m-Consecutive-k-out-of-n: F and Consecutive-kb-out-of-n: F Systems with Non-Homogeneous Markov-Dependent Components | ||||
Author | Mahmoud Boushaba
|
|||
Co-Author(s) | Azzedine Benyahia
|
|||
Abstract | A Combined m-Consecutive-k-out-of-n and Consecutive-kb-out-of-n: F System is consists of n components ordered in a line such that the system fails if there exist at least kb consecutive failed components, or at least m non-overlapping runs of k consecutive failed components, where kb< mk. This system was been introduced by Mohan et al. [8] where they propose an algorithm to evaluate system reliability by using the (GERT) technique, in the independent case. In this paper, we propose a new formula of the reliability of this system for nonhomogeneous Markov-dependent components. For a Combined m-Consecutive-k-out-of-n and Consecutive- kb-out-of-n: F System with non-homogenous Markov-dependent components, we derive closed-form formulas for the marginal reliability importance measure of a single component, and the joint reliability importance measure of two or more than two components using probability generating function (pgf) and conditional pgf methods.
|
|||
Keywords | system reliability, marginal reliability importance, joint reliability importance, Combined m-Consecutive-k-out-of-n and Consecutive-kb-out-of-n: F System, non-homogenous Markov-dependent components, probability generating function | |||
Article #: 23-317 |
August 3-5, 2017 - Chicago, Illinois, U.S.A. |