On allocation of redundant components for systems with dependent components

Félix Belzunce, Helena Martínez-Puertas and José M. Ruiz

European Journal of Operational Research, 2013, vol. 230, issue 3, 573-580

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.

Keywords: Standby and active redundancy; Joint stochastic orders; k-out-of-n systems; Dependent components (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:230:y:2013:i:3:p:573-580

DOI: 10.1016/j.ejor.2013.05.004

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