Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach
Reliability evaluation of generalised multi-state k-out-of-n systems based on FMCI approach
复制标题
基于FMCI方法的广义多状态k-out-of-n系统可靠性评估
DOI：
10.1080/00207720903353609
复制
发表时间：
2010-12
影响因子：
4.3
通讯作者：
Cui, Lirong
中科院分区：
文献类型：
--
作者：
Zhao, Xian;Cui, Lirong
大多数关于k-out-of-n系统的研究都是在二元背景下进行的。当且仅当至少有k个组件失效时，n中取k系统失效。广义的多状态n中取k：G和F系统模型由Huang等人定义[Huang，J.，Zuo，M.J.，和Wu，Y.H.（2000），“Generalized Multi-state k-out-of-n：G Systems”，IEEE Transactions on reliability，49，105-111]以及Zuo和Tian [Zuo，M.J.，和Tian，Z.G.（2006），“Performance Evaluation of Generalized Multi-state k-out-of-n Systems”，IEEE Transactions on Reliability，55，319-327]。本文利用有限马尔可夫链嵌入（FMCI）方法，给出了一个用矩阵乘积计算广义多状态k-out-of-n：F系统状态分布的统一公式，其中包括递减多状态F系统、递增多状态F系统和非单调多状态F系统。我们的结果可以推广到广义的多状态k-out-of-n：G系统。三个数值例子来说明结果。
Most studies on k-out-of-n systems are in the binary context. The k-out-of-n system has failed if and only if at least k components have failed. The generalised multi-state k-out-of-n: G and F system models are defined by Huang et al. [Huang, J., Zuo, M.J., and Wu, Y.H. (2000), ‘Generalized Multi-state k-out-of-n: G Systems’, IEEE Transactions on reliability, 49, 105–111] and Zuo and Tian [Zuo, M.J., and Tian, Z.G. (2006), ‘Performance Evaluation of Generalized Multi-state k-out-of-n Systems’, IEEE Transactions on Reliability, 55, 319–327], respectively. In this article, by using the finite Markov chain imbedding (FMCI) approach, we present a unified formula with the product of matrices for evaluating the system state distribution for generalised multi-state k-out-of-n: F systems which include the decreasing multi-state F system, the increasing multi-state F system and the non-monotonic multi-state F system. Our results can be extended to the generalised multi-state k-out-of-n: G system. Three numerical examples are presented to illustrate the results.
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DOI：
10.1016/j.ress.2004.08.023
发表时间：
2005-09
期刊：
Reliab. Eng. Syst. Saf.
影响因子：
--
作者：
Claudio M. Rocco Sanseverino;M. Muselli
通讯作者：
Claudio M. Rocco Sanseverino;M. Muselli
DOI：
10.1016/s0305-0548(03)00115-1
发表时间：
2004-09
期刊：
Comput. Oper. Res.
影响因子：
--
作者：
L. Utkin
通讯作者：
L. Utkin
DOI：
10.1007/0-306-48636-9_8
发表时间：
2003
期刊：
--
影响因子：
--
作者：
通讯作者：
--
影响因子：
5.9
作者：
H. Pham;S. Upadhyaya
通讯作者：
H. Pham;S. Upadhyaya
DOI：
10.1142/s0218539307002684
发表时间：
2007-08
期刊：
International Journal of Reliability, Quality and Safety Engineering
影响因子：
--
作者：
Rashika Gupta;M. Agarwal
通讯作者：
Rashika Gupta;M. Agarwal