G-混合冗余策略下多状态可修系统的可靠性

doi:10.12305/j.issn.1001-506X.2024.07.20

Abstract

Abstract:

In this paper, the reliability for a repairable system under G-mixed redundancy strategy is investigated. The system consists of four components and a repairman, in which the multiple vacation policy of the repairman is adopted so that the human resources can be fully utilized. The phase-type (PH) distribution is used to describe various random variables in the model. A system reliability model with better commonality is developed, and some reliability indexes of the system are obtained in both transient and stationary regimes by employing matrix-analytic method. Finally, the applicability of the model is verified by numerical examples, and the system reliability under G-mixed redundancy strategy is compared with that under K-mixed redundancy strategy. The results show that the proposed reliability model under G-mixed redundancy strategy is significantly higher than that under the K-mixed redundancy strategy.

Key words: phase-type (PH) distribution, multiple vacation, G-mixed redundancy strategy, repairable system

CLC Number:

F254.3
O213

Yanqing WEN, Baoliang LIU, Haiyan SHI, Qing'an QIU, Caiwen GAO. Reliability of multi-state repairable systems under G-mixed redundancy strategy[J]. Systems Engineering and Electronics, 2024, 46(7): 2383-2392.

Figures/Tables 12

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References 30

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冗余策略	n_A	n_s	n_G
主动	4	0	-
贮备	1	3	-
混合	3	1	-
K-混合	3	1	-
G-混合	3	1	2

随机变量	分布参数
工作部件寿命	$\mathrm{PH}\left[\boldsymbol{\alpha}=(1, 0), \boldsymbol{W}=\left(\begin{array}{cc}-0.40 & 0.30 \\0.25 & -0.30\end{array}\right)\right]$ 平均寿命: 13.333 3
故障部件维修时间	$\mathrm{PH}\left[\boldsymbol{\gamma}=(1, 0), \boldsymbol{T}=\left(\begin{array}{cc}-1.30 & 0.90 \\0.90 & -1.30\end{array}\right)\right]$ 平均维修时间: 2.500 0
维修工休假时间	$\mathrm{PH}\left[\boldsymbol{\beta}=(1, 0), \boldsymbol{S}=\left(\begin{array}{cc}-1.65 & 0.95 \\0.95 & -1.65\end{array}\right)\right]$ 平均休假时间: 1.428 6

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Reliability of multi-state repairable systems under G-mixed redundancy strategy

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