Aging properties of the residual life length of k-out-of-n systems with independent but non-identical components

Xiaohu Li; Jing Chen

doi:10.1002/asmb.507

Aging properties of the residual life length of k-out-of-n systems with independent but non-identical components

Xiaohu Li
, Jing Chen

Department of Mathematical Sciences

University of Science and Technology of China

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

33 Scopus citations

Abstract

The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems, it has founded wide applications in industrial and military systems during the past several decades. This paper will investigate the residual life length of a k-out-of-n system with independent (not necessarily identical) components, given that the (n - k)th failure has occurred at time t≥0. Behaviour of PF₂, IFR, DRHR, DMRL, NBU(2) and NBUC classes of life distributions are derived in terms of the monotonicity of the residual life given the time of the (n - k)th failure.

Original language	English
Pages (from-to)	143-153
Number of pages	11
Journal	Applied Stochastic Models in Business and Industry
Volume	20
Issue number	2
DOIs	https://doi.org/10.1002/asmb.507
State	Published - Apr 2004

Keywords

DMRL
IFR
Increasing concave order
Increasing convex order
NBU
NBU(2)
NBUC
PF2
Residual life
Right spread order

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10.1002/asmb.507

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abstract = "The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems, it has founded wide applications in industrial and military systems during the past several decades. This paper will investigate the residual life length of a k-out-of-n system with independent (not necessarily identical) components, given that the (n - k)th failure has occurred at time t≥0. Behaviour of PF2, IFR, DRHR, DMRL, NBU(2) and NBUC classes of life distributions are derived in terms of the monotonicity of the residual life given the time of the (n - k)th failure.",

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AB - The k-out-of-n structure is a very popular type of redundancy in fault-tolerant systems, it has founded wide applications in industrial and military systems during the past several decades. This paper will investigate the residual life length of a k-out-of-n system with independent (not necessarily identical) components, given that the (n - k)th failure has occurred at time t≥0. Behaviour of PF2, IFR, DRHR, DMRL, NBU(2) and NBUC classes of life distributions are derived in terms of the monotonicity of the residual life given the time of the (n - k)th failure.

KW - DMRL

KW - IFR

KW - Increasing concave order

KW - Increasing convex order

KW - NBU

KW - NBU(2)

KW - NBUC

KW - PF2

KW - Residual life

KW - Right spread order

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SN - 1524-1904

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JO - Applied Stochastic Models in Business and Industry

JF - Applied Stochastic Models in Business and Industry

IS - 2

ER -

Aging properties of the residual life length of k-out-of-n systems with independent but non-identical components

Abstract

Keywords

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