Ordering k-out-of-n systems with interdependent components and one active redundancy

Yinping You; Xiaohu Li

doi:10.1080/03610926.2018.1445862

Ordering k-out-of-n systems with interdependent components and one active redundancy

Yinping You
, Xiaohu Li

Department of Mathematical Sciences

Huaqiao University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

This paper studies the optimal allocation of one active redundancy to a k-out-of-n system in the context of statistically dependent component lifetimes. It is proved that assigning the redundancy to the weakest component is more favorable so as to get a larger system lifetime in terms of both the usual stochastic order and the stochastic preference order.

Original language	English
Pages (from-to)	4772-4784
Number of pages	13
Journal	Communications in Statistics - Theory and Methods
Volume	47
Issue number	19
DOIs	https://doi.org/10.1080/03610926.2018.1445862
State	Published - 2 Oct 2018

Keywords

Archimedean copula
LWSAI
Stochastic preference order
Usual stochastic order
WSAI

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10.1080/03610926.2018.1445862

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title = "Ordering k-out-of-n systems with interdependent components and one active redundancy",

abstract = "This paper studies the optimal allocation of one active redundancy to a k-out-of-n system in the context of statistically dependent component lifetimes. It is proved that assigning the redundancy to the weakest component is more favorable so as to get a larger system lifetime in terms of both the usual stochastic order and the stochastic preference order.",

keywords = "Archimedean copula, LWSAI, Stochastic preference order, Usual stochastic order, WSAI",

author = "Yinping You and Xiaohu Li",

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AB - This paper studies the optimal allocation of one active redundancy to a k-out-of-n system in the context of statistically dependent component lifetimes. It is proved that assigning the redundancy to the weakest component is more favorable so as to get a larger system lifetime in terms of both the usual stochastic order and the stochastic preference order.

KW - Archimedean copula

KW - LWSAI

KW - Stochastic preference order

KW - Usual stochastic order

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JO - Communications in Statistics - Theory and Methods

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ER -

Ordering k-out-of-n systems with interdependent components and one active redundancy

Abstract

Keywords

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