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Aging properties of the residual life length of k ‐out‐of‐ n systems with independent but non‐identical components
Author(s) -
Li Xiaohu,
Chen Jing
Publication year - 2004
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.507
Subject(s) - residual , redundancy (engineering) , monotonic function , mathematics , computer science , combinatorics , reliability engineering , algorithm , engineering , mathematical analysis
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 PF 2 , 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. Copyright © 2004 John Wiley & Sons, Ltd.