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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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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Abstract 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).
AbstractList 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).
Author Nakagawa, Yuji
Hattori, Yoshio
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  organization: Institute of Atomic Energy; Kyoto University; Uji, Kyoto 611 JAPAN
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Cites_doi 10.1016/0016-0032(56)90559-2
10.2307/1425808
10.1109/TR.1975.5215154
10.1002/sapm194221183
10.1109/TR.1969.5216977
10.1016/0166-218X(94)90024-8
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References ref8
ref7
(ref2) 1956; 262
ref9
ref4
ref3
ref11
ref5
riordan (ref6) 1942; 21
ref1
(ref10) 0
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  doi: 10.1109/TR.1975.5215154
– volume: 21
  start-page: 83
  year: 1942
  ident: ref6
  article-title: the number of two-terminal series-parallel networks
  publication-title: J Math and Phys
  doi: 10.1002/sapm194221183
– volume: 262
  start-page: 281
  year: 1956
  ident: ref2
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  doi: 10.1109/TR.1969.5216977
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SubjectTerms 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
Title Reliability of All Possible Series-Parallel Redundant Structures of M I.I.D. Units with Two Failure Modes
URI https://ieeexplore.ieee.org/document/5220853
Volume R-29
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