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Reliability of a 2-Dimensional k -Within-Consecutive- r\times s -out-of- m\times n :F System Using Finite Markov Chains

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2 Author(s)
Yung-Ming Chang ; Department of Mathematics, National Taitung University, Taitung, Taiwan ; Tzu-Hui Huang

In this article, we propose efficient methods, based on the use of a 2-dimensional scan statistic, and a Markov chain approach, to evaluate the reliability of a 2-dimensional (rectangular or cylindrical) -within-consecutive--out-of-:F system. Our results are established under three different assumptions that the components of the system are: (i) -independent and identically distributed, (ii) -independent but non-identically distributed, and (iii) first-order homogeneous Markov dependent. Numerical results are provided for illustrative purposes.

Published in:

IEEE Transactions on Reliability  (Volume:59 ,  Issue: 4 )