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- W2564473639 abstract "ABSTRACTWe study a linear weighted (n, f, k) system, denoted by L(n, f, k, w) system and consider the situation where components are non-homogeneous Markov-dependent. An L(n, f, k, w) system consists of n components ordered in a line, and each component u has a positive integer weight wu for u = 1, 2, …, n and w = (w1, w2, …, wn). The L(n, f, k, w):F (G) system fails (works) if the total weight of failed (working) components is at least f or the total weight of consecutive failed (working) components is at least k. For the L(n, f, k, w):F system with non-homogeneous Markov-dependent components, we derive closed-form formulas for the system reliability, the marginal reliability importance measure of a single component, and the joint reliability importance measure of multiple components using a conditional probability generating function method. We extend these results to the L(n, f, k, w):G systems, the weighted consecutive-k-out-of-n systems, and the weighted f-out-of-n systems. Our numerical examples and..." @default.
- W2564473639 created "2017-01-06" @default.
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- W2564473639 date "2017-03-30" @default.
- W2564473639 modified "2023-09-27" @default.
- W2564473639 title "A linear weighted <font>(<i>n</i>, <i>f</i>, <i>k</i>)</font> system for non-homogeneous Markov-dependent components" @default.
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- W2564473639 doi "https://doi.org/10.1080/24725854.2016.1269977" @default.
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