Orderings of coherent systems with randomized dependent components

Jorge Navarro, Franco Pellerey and Antonio Di Crescenzo

European Journal of Operational Research, 2015, vol. 240, issue 1, 127-139

Abstract: Consider a general coherent system with independent or dependent components, and assume that the components are randomly chosen from two different stocks, with the components of the first stock having better reliability than the others. Then here we provide sufficient conditions on the component’s lifetimes and on the random numbers of components chosen from the two stocks in order to improve the reliability of the whole system according to different stochastic orders. We also discuss several examples in which such conditions are satisfied and an application to the study of the optimal random allocation of components in series and parallel systems. As a novelty, our study includes the case of coherent systems with dependent components by using basic mathematical tools (and copula theory).

Keywords: Reliability; Coherent systems; Stochastic orders; Copula; Parrondo’s paradox (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:240:y:2015:i:1:p:127-139

DOI: 10.1016/j.ejor.2014.06.020

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