Optimal component-type allocation and replacement time policies for parallel systems having multi-types dependent components
Autor (es)
Torrado Robles, NuriaEntidad
UAM. Departamento de Análisis Económico: Economía CuantitativaEditor
ElsevierFecha de edición
2022-04-04Cita
10.1016/j.ress.2022.108502
Reliability Engineering and System Safety 224 (2022): 108502
ISSN
0951-8320 (print)DOI
10.1016/j.ress.2022.108502Financiado por
This work was partially supported by Ministerio de Ciencia e Innovación of Spain under grant number PID2019-108079GB-C22/AEI/ 10.13039/501100011033Proyecto
Gobierno de España. PID2019-108079GB-C22Versión del editor
https://doi.org/10.1016/j.ress.2022.108502Materias
Copulas; Cost functions; Majorization; Optimal components allocation; Preventive maintenance; Replacement policy; Stochastic orderings; EconomíaDerechos
© 2022 The AuthorEsta obra está bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.
Resumen
In this work, we discuss some challenging open problems and conjectures recently proposed in the literature for parallel systems with dependent components of multiple types. Specifically, we present necessary conditions for the existence of the unique optimal value which minimizes the mean cost rate for two optimization problems. In the first place, the aim is to find the optimal number of components of each type which minimizes the associated mean cost rate, and secondly, to find the optimal replacement time before system failure. In both cases, we consider copulas to model the dependence structure for components whose lifetimes follow any distribution function. Moreover, in order to illustrate the theoretical results, we provide some numerical studies for specific copulas and marginal distribution functions
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Google Scholar:Torrado Robles, Nuria
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