Abstract
Reliability is the most important qualitative properties of products and industrial electronic systems. Today, industrial electronic systems need to produce products with maximum reliability. In every industry, when a system fails, it becomes harmful in various aspects such as economic, human and political; therefore, accurate estimation of system reliability is very important. Previous methods to calculate system reliability assumed that a large number of components failures are statistically independent. Considering such a hypothesis makes it possible to calculate probability and mathematical computation, but it does not provide perfect system reliability. This paper presents a simple and new technique for reliability analysis by considering unequal reliability and non-identical distribution of correlated components for k-out-of-n and coherent systems. The efficiency of our proposed method is demonstrated by computing the reliability of Bridge system. The results show that the function of existing components correlation has a major impact, and that ignoring it has a significant effect on system safety.
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Appendix 1: Proof of Eqs. (5), (6) and (7)
Appendix 1: Proof of Eqs. (5), (6) and (7)
Consider steps 1 through 4 to prove Eqs. (5), (6) and (7)
Therefore:
1.1 Appendix 2: Proof of Eq. (21)
The following relation is used to prove this equation:
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Banitaba, S.M., Ahari, R.M. & Karbasian, M. Reliability Model and Sensitivity Analysis for General Electronic Systems with Failure Types based on Non-identical Correlated Components. J Electron Test 36, 9–21 (2020). https://doi.org/10.1007/s10836-019-05853-5
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DOI: https://doi.org/10.1007/s10836-019-05853-5