Reliability of All Possible Series-Parallel Redundant Structures of M I.I.D. Units with Two Failure Modes

The paper presents a method for generating systematically and exactly all possible series-parallel (s-p) structures for several i.i.d. units. The method is modified in order to calculate the failure probabilities and reliabilities of all the possible s-p redundant structures for the i.i.d. units wit...

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Bibliographic Details
Published inIEEE transactions on reliability Vol. R-29; no. 4; pp. 320 - 323
Main Authors Nakagawa, Yuji, Hattori, Yoshio
Format Journal Article
LanguageEnglish
Published IEEE 01.10.1980
Subjects
Bridges
Educational institutions
Equations
Power system protection
Power system relaying
Probability
Protective relaying
Redundancy
Reliability calculation
Reliability theory
Series-parallel redundancy
Series-parallel structures
Two failure modes
Valves
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Summary:The paper presents a method for generating systematically and exactly all possible series-parallel (s-p) structures for several i.i.d. units. The method is modified in order to calculate the failure probabilities and reliabilities of all the possible s-p redundant structures for the i.i.d. units with two failure modes. Included is an example of finding an optimal s-p redundant structure subject to four constraints for reliability (two for failure probabilities and two for fail-safe).
ISSN:0018-9529
DOI:10.1109/TR.1980.5220853