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Orderings of component level versus system level at active redundancies for coherent systems with dependent components

Published online by Cambridge University Press:  10 September 2021

Rongfang Yan Open the ORCID record for Rongfang Yan [Opens in a new window] ,
Junrui Wang Open the ORCID record for Junrui Wang [Opens in a new window]  and
Bin Lu
Rongfang Yan
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: yanrf@nwnu.edu.cn
Junrui Wang
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: yanrf@nwnu.edu.cn
Bin Lu
Affiliation:
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China. E-mail: yanrf@nwnu.edu.cn
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Abstract

This paper investigates the issue of stochastic comparison of multi-active redundancies at the component level versus the system level. Based on the assumption that all components are statistically dependent, in the case of complete matching and nonmatching spares, we present some interesting comparison results in the sense of the hazard rate, reversed hazard rate and likelihood ratio orders, respectively. And we also obtain two comparison results between relative agings of resulting systems at the component level and the system level. Several numerical examples are provided to illustrate the theoretical results.

Keywords

active redundancycoherent systemcopuladistorted distributionrelative agingstochastic orders
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 36 , Issue 4 , October 2022 , pp. 1275 - 1297
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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