On allocation of redundant components for systems with dependent components |
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Authors: | Fé lix Belzunce,Helena Martí nez-Puertas,José M. Ruiz |
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Affiliation: | 1. Dpto. Estadística e Investigación Operativa, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo, Murcia, Spain;2. Dpto. Estadística y Matemática Aplicada, Universidad de Almería, Campus de la Cañada, 04120 Almería, Spain |
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Abstract: | In this paper we consider the problem of optimal allocation of a redundant component for series, parallel and k-out-of-n systems of more than two components, when all the components are dependent. We show that for this problem is naturally to consider multivariate extensions of the joint bivariates stochastic orders. However, these extensions have not been defined or explicitly studied in the literature, except the joint likelihood ratio order, which was introduced by Shanthikumar and Yao (1991). Therefore we provide first multivariate extensions of the joint stochastic, hazard rate, reversed hazard rate order and next we provide sufficient conditions based on these multivariate extensions to select which component performs the redundancy. |
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Keywords: | Standby and active redundancy Joint stochastic orders k-out-of-n systems Dependent components |
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