Orderings of coherent systems with randomized dependent components

被引：56
作者：
Navarro, Jorge [1 ]
Pellerey, Franco [2 ]
Di Crescenzo, Antonio [3 ]
机构：
[1] Univ Murcia, Fac Matemat, E-30100 Murcia, Spain
[2] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy
[3] Univ Salerno, Dipartimento Matemat, I-84084 Fisciano, SA, Italy
来源：
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH | 2015年 / 240卷 / 01期
关键词：
Reliability; Coherent systems; Stochastic orders; Copula; Parrondo's paradox; OPTIMAL ALLOCATION; PARALLEL SYSTEMS; SERIES SYSTEMS; REDUNDANCIES;
D O I：
10.1016/j.ejor.2014.06.020
中图分类号：
C93 [管理学];
学科分类号：
12 ; 1201 ; 1202 ; 120202 ;
摘要：
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). (C) 2014 Elsevier B.V. All rights reserved.
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收藏
页码：127 / 139
页数：13
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