Reliability of three-dimensional consecutive k-type systems
Reliability of three-dimensional consecutive k-type systems
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DOI：
10.1016/j.ress.2023.109131
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发表时间：
2023-02
期刊：
影响因子：
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通讯作者：
He Yi;N. Balakrishnan;Xiang Li
中科院分区：
文献类型：
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作者：
He Yi;N. Balakrishnan;Xiang Li
三维连续k型系统广泛应用于传感系统等可靠性实践中，但评估这些系统的可靠性并不是一件容易的事。本文提出了几个三维连续k型系统，即线性连通-(k 1, k 2, k 3)-out-of-(n 1, n 2, n 3): F系统，线性连通-(k 1, k 2, k 3)!-out-of-(n 1, n 2, n 3): F系统，以及线性l-连通-(k 1, k 2, k 3)-out-of-(n 1, n 2, n 3)：研究没有/有重叠的F系统。这些系统的可靠性是通过使用有限马尔可夫链嵌入方法（FMCIA）来确定的，并采用一些特定的技术来减少所涉及的马尔可夫链的状态空间。然后提供一些数值示例来证明所提出方法的准确性和效率，最后指出一些可能的应用和推广。
Three-dimensional consecutive k-type systems are widely found in reliability practice such as in sensing systems, but it is not an easy task to evaluate reliability of these systems. In this paper, several three-dimensional consecutive k-type systems, namely, linear connected-(k 1, k 2, k 3)-out-of-(n 1, n 2, n 3): F system, linear connected-(k 1, k 2, k 3)!-out-of-(n 1, n 2, n 3): F system, and linear l-connected-(k 1, k 2, k 3)-out-of-(n 1, n 2, n 3): F system, without/with overlapping, are studied. Reliability of these systems is determined by using finite Markov chain imbedding approach (FMCIA), and some specific techniques are employed to reduce the state space of the involved Markov chain. Some numerical illustrative examples are then provided to demonstrate the accuracy and efficiency of the proposed method, and finally some possible applications and generalizations are pointed out.