ACTIVE REDUNDANCY ALLOCATION for COHERENT SYSTEMS with INDEPENDENT and HETEROGENEOUS COMPONENTS

Rui Fang; Xiaohu Li

doi:10.1017/S0269964818000359

ACTIVE REDUNDANCY ALLOCATION for COHERENT SYSTEMS with INDEPENDENT and HETEROGENEOUS COMPONENTS

Rui Fang
, Xiaohu Li

Department of Mathematical Sciences

Shantou University

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

7 Scopus citations

Abstract

This paper studies the allocation of active redundancies to coherent systems on the context that the base and redundancy components have mutual independent lifetimes. For systems with two symmetric components and systems with one component's minimal cut sets (minimal path sets) covering those of another, we derive sufficient conditions to compare the resultant system lifetimes. Some numerical examples are also presented to illustrate the theoretical results.

Original language	English
Pages (from-to)	72-91
Number of pages	20
Journal	Probability in the Engineering and Informational Sciences
Volume	34
Issue number	1
DOIs	https://doi.org/10.1017/S0269964818000359
State	Published - 1 Jan 2020

Keywords

majorization
minimal cut set decomposition
stochastic order
symmetric components

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10.1017/S0269964818000359

Cite this

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title = "ACTIVE REDUNDANCY ALLOCATION for COHERENT SYSTEMS with INDEPENDENT and HETEROGENEOUS COMPONENTS",

abstract = "This paper studies the allocation of active redundancies to coherent systems on the context that the base and redundancy components have mutual independent lifetimes. For systems with two symmetric components and systems with one component's minimal cut sets (minimal path sets) covering those of another, we derive sufficient conditions to compare the resultant system lifetimes. Some numerical examples are also presented to illustrate the theoretical results.",

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N2 - This paper studies the allocation of active redundancies to coherent systems on the context that the base and redundancy components have mutual independent lifetimes. For systems with two symmetric components and systems with one component's minimal cut sets (minimal path sets) covering those of another, we derive sufficient conditions to compare the resultant system lifetimes. Some numerical examples are also presented to illustrate the theoretical results.

AB - This paper studies the allocation of active redundancies to coherent systems on the context that the base and redundancy components have mutual independent lifetimes. For systems with two symmetric components and systems with one component's minimal cut sets (minimal path sets) covering those of another, we derive sufficient conditions to compare the resultant system lifetimes. Some numerical examples are also presented to illustrate the theoretical results.

KW - majorization

KW - minimal cut set decomposition

KW - stochastic order

KW - symmetric components

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JO - Probability in the Engineering and Informational Sciences

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IS - 1

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ACTIVE REDUNDANCY ALLOCATION for COHERENT SYSTEMS with INDEPENDENT and HETEROGENEOUS COMPONENTS

Abstract

Keywords

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