A study on multi-level redundancy allocation in coherent systems formed by modules
EntityUAM. Departamento de Análisis Económico: Economía Cuantitativa
10.1016/j.ress.2021.107694Reliability Engineering & System Safety 213 (2021): 107694
Funded byNT is partially supported by Ministerio de Ciencia e Innovación of Spain under grant PID2019-108079GB-C22/AEI/10.13039/501100011033. AA was supported by Ministerio de Economía y Competitividad of Spain under grant MTM2017-89577-P. Finally, JN is partially supported by Ministerio de Ciencia e Innovación of Spain under grant PID2019-103971GBI00/ AEI/10.13039/501100011033
ProjectGobierno de España. PID2019-108079GB-C22; Gobierno de España. MTM2017-89577-P
SubjectsCopulas; Distribution-free comparisons; Hierarchical system structure; Optimal component allocation; Reliability; Stochastic comparisons; System/modular/component redundancy; Economía
Rights© 2021 The Authors
Esta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.
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
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