On allocation policies in systems with dependence structure and random selection of components

In recent research, one of the major focus on redundancy allocation problems has been on the possibility of using allocative components randomly selected froma heterogeneous population consisting of m different subpopulations. Under this setup, most of these works assume that the components within e...

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Detalles Bibliográficos
Autor: Torrado Robles, Nuria
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/735340
Acceso en línea:https://hdl.handle.net/10486/735340
https://dx.doi.org/10.1016/j.cam.2020.113274
Access Level:acceso abierto
Palabra clave:Redundancy allocation problem
series–parallel systems
stochastic orderings
heterogeneous population
distorted distributions
copulas
Matemáticas
Descripción
Sumario:In recent research, one of the major focus on redundancy allocation problems has been on the possibility of using allocative components randomly selected froma heterogeneous population consisting of m different subpopulations. Under this setup, most of these works assume that the components within each subpopulation are independent. Here, we consider systems comprising n possibly dependent subsystems within dependent or dependent components. Then we provide sufficient conditions on the number of components randomly chosen from the heterogeneous population in order to improve the reliability of the whole system. In addition, we present illustrative numerical results for different copula functions and marginal life time distributions