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Reliability Analysis of a Parallel Redundant Repairable System with Human Error

机译:具有人为错误的并行冗余可修复系统的可靠性分析

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摘要

The reliability analysis of a parallel redundant repairable system is discussed in this paper. The unique existence of the solution of the system is provided, applying the theory of the functional analysis, especially the linear operator semi-group in Banach space. Besides, the proving of the existence of strictly dominant eigenvalue is also presented. The essential spectral radius of the system operator is, finally, discussed before and after perturbation. The result shows that the dynamic solution of the system exponentially converges to the stead-state solution.
机译:本文讨论了并行冗余可修复系统的可靠性分析。利用泛函分析的原理,尤其是Banach空间中的线性算子半群,提供了系统解的唯一性。此外,还给出了严格占优特征值存在性的证明。最后,在扰动之前和之后讨论了系统算子的基本谱半径。结果表明,系统的动态解以指数形式收敛到稳态解。

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