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

Nuria Torrado, Antonio Arriaza and Jorge Navarro

Reliability Engineering and System Safety, 2021, vol. 213, issue C

Abstract: 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.

Keywords: Reliability; Hierarchical system structure; System/modular/component redundancy; Stochastic comparisons; Distribution-free comparisons; Optimal component allocation; Copulas (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:213:y:2021:i:c:s0951832021002313

DOI: 10.1016/j.ress.2021.107694

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