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A study on multi-level redundancy allocation in coherent systems formed by modules

机译：模块形成的相干系统中多级冗余分配研究

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摘要

The present work studies the effect of redundancies on the reliability of coherent systems formed by modules. Different redundancies at components' level versus redundancies at modules' level are investigated, including active and standby redundancies. For that, a new model is presented. This model takes into account the dependence among the components, as well as, the dependence among the modules of the system. In both cases, the dependence structure is modeled by copula functions. Several results are provided to compare systems consisting of heterogeneous components. The comparisons are distribution-free with respect to the components. In particular, we consider the cases when the components in the modules are independent and connected (or not) in series, and when the components are dependent within the modules. In both cases, it is assumed that the modules can be dependent. Furthermore, the case in which the components in each module are identically distributed (dependent or independent) is also considered. We illustrate the theoretical results with several examples.
机译：目前的工作研究冗余对模块形成的相干系统可靠性的影响。调查了组件的级别的不同冗余与模块级别的冗余，包括主动和备用冗余。为此，提出了一个新模型。该模型考虑了组件之间的依赖，以及系统模块之间的依赖性。在这两种情况下，依赖结构由Copula功能进行建模。提供了几种结果以比较由异构组分组成的系统。比较是对组件无分布的。特别是，我们考虑模块中的组件是串联的组件独立和连接（或不连接）的情况，并且当组件在模块内取决时。在这两种情况下，假设模块可以是依赖性的。此外，还考虑了每个模块中的组件的情况也被认为是相同分布（依赖或独立）。我们用几个例子说明了理论结果。

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