DocumentCode
1320345
Title
Equivalence of Redundant Systems With Respect to Time to Failure
Author
Muth, Eginhard J.
Author_Institution
Department of Industrial and Systems Engineering, University of Florida, Gainesville, Fla. 32601.
Issue
4
fYear
1973
Firstpage
238
Lastpage
239
Abstract
The time to failure of an m out of n component system, with component failure times exponentially and identically distributed, is treated. This failure time is shown to be identically distributed to the failure time of an n - m + 1 component standby system, with component failure times exponentially but not identically distributed. The proof of this result is based on a recursion formula for the distribution of time to system failure.
Keywords
Biographies; Convolution; Distribution functions; Hazards; Random variables; Reliability engineering; Reliability theory;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/TR.1973.5215897
Filename
5215897
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