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Preservation of reliability classes under the formation of coherent systems
Author(s) -
Navarro Jorge,
Águila Yolanda,
Sordo Miguel A.,
SuárezLlorens Alfonso
Publication year - 2013
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.1985
Subject(s) - independent and identically distributed random variables , reliability (semiconductor) , class (philosophy) , failure rate , property (philosophy) , reliability engineering , computer science , complex system , reliability theory , mathematics , statistics , random variable , artificial intelligence , thermodynamics , physics , engineering , power (physics) , philosophy , epistemology
The preservation of reliability aging classes under the formation of coherent systems is a relevant topic in reliability theory. Thus, it is well known that the new better than used class is preserved under the formation of coherent systems with independent components. However, surprisingly, the increasing failure rate class is not preserved in the independent and identically distributed case, that is, the components may have the (negative) aging increasing failure rate property, but the system does not have this property. In this paper, we study conditions for the preservation of the main reliability classes under the formation of general coherent systems. These results can be applied both for systems with independent or dependent components. We consider both the case of systems with identically distributed components and the case of systems with components having different distributions. Copyright © 2013 John Wiley & Sons, Ltd.