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On allocating redundancies to k ‐out‐of‐ n reliability systems
Author(s) -
You Yinping,
Li Xiaohu
Publication year - 2014
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.2032
Subject(s) - redundancy (engineering) , independent and identically distributed random variables , reliability (semiconductor) , reliability engineering , order (exchange) , computer science , hazard ratio , reliability theory , mathematics , statistics , failure rate , random variable , physics , engineering , economics , thermodynamics , power (physics) , finance , confidence interval
For two components in series and one redundancy with their lifetimes following the proportional hazard models, we build the likelihood ratio order and the hazard rate order for lifetimes of the redundant systems. Also, for k ‐out‐of‐ n system with components’ lifetimes having the arrangement increasing joint density and the redundancies having identically distributed lifetimes, allocating more redundancies to weaker components is shown to help improve the system's reliability. Copyright © 2014 John Wiley & Sons, Ltd.