Multi-state k-out-of-n systems and their performance evaluation
Multi-state k-out-of-n systems and their performance evaluation
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DOI：
10.1080/07408170802322655
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发表时间：
2008-11
期刊：
影响因子：
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通讯作者：
Zhigang Tian;M. Zuo;R. Yam
中科院分区：
文献类型：
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作者：
Zhigang Tian;M. Zuo;R. Yam
k-out-of-n系统结构是容错系统中一种非常流行的冗余类型，在工业和军事系统中有着广泛的应用。本文研究了部件和系统具有多个性能水平时，n中取k系统的建模、应用和可靠性评估问题。提出了一种多状态k-out-of-n系统模型，该模型允许不同状态水平对部件数量的不同要求，并且非常重要的是，更实际的工程系统可以适合于该模型。模型中的多个状态可以用两种方式解释：（i）多个容量水平;（ii）多个故障模式。所提出的多状态k-out-of-n系统模型的应用实例给出下的每一个解释。提出了一种具有独立同分布部件的多状态n中取k系统可靠性的有效评估方法。针对具有独立部件的多状态n中取k系统的可靠性评估问题，提出了一种递推算法。效率调查表明，这两种可靠性评估方法是有效的。具有常数k值的多状态k-out-of-n系统模型是一般多状态k-out-of-n系统模型的一种特殊情况，长期以来人们对其进行了研究，但仅停留在理论阶段。本文还介绍了该模型的一个实际应用。
The k-out-of-n system structure is a very popular type of redundancy in fault-tolerant systems, with wide applications in both industrial and military systems. In this paper, the modeling, application and reliability evaluation of k-out-of-n systems are studied for the case where the components and the system have multiple performance levels. A multi-state k-out-of-n system model is proposed that allows different requirements on the number of components for different state levels, and, very importantly, more practical engineering systems can fit into this model. The multiple states in the model can be interpreted in two ways: (i) multiple levels of capacity; and (ii) multiple failure modes. Application examples of the proposed multi-state k-out-of-n system model are given under each of the interpretations. An approach is presented for efficient reliability evaluation of multi-state k-out-of-n systems with identically and independently distributed components. A recursive algorithm is proposed for reliability evaluation of multi-state k-out-of-n systems with independent components. Efficiency investigations show that both of the reliability evaluation approaches are efficient. The multi-state k-out-of-n system model with a constant k value, which is a special case of the general multi-state k-out-of-n system model, has been studied for a long time, but only on the theoretical stage. A practical application of this model is presented in this paper as well.