Optimal Grouping of Heterogeneous Components in Series and Parallel Systems Under Archimedean Copula Dependence

This paper considers series and parallel systems comprising n components drawn from a heterogeneous population consisting of m different subpopulations. The components within each subpopulation are assumed to be dependent, while the subpopulations are independent of each other. The authors also assu...

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Published in:Journal of systems science and complexity 2022-06, Vol.35 (3), p.1030-1051
Main Authors: Fang, Longxiang, Zhang, Xinsheng, Jin, Qing
Format: Article
Language:English
Subjects:
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
System reliability
Systems Theory
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description This paper considers series and parallel systems comprising n components drawn from a heterogeneous population consisting of m different subpopulations. The components within each subpopulation are assumed to be dependent, while the subpopulations are independent of each other. The authors also assume that the subpopulations have different Archimedean copulas for their dependence. Under this setup, the authors discuss the series and parallel systems reliability for three different cases, respectively. The authors use the theory of stochastic orders and majorization to establish the main results, and finally present some numerical examples to illustrate all the results established here.
doi_str_mv 10.1007/s11424-021-0037-0
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subjects Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
System reliability
Systems Theory
title Optimal Grouping of Heterogeneous Components in Series and Parallel Systems Under Archimedean Copula Dependence
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