Analysis of minimal cut and path sets based on direct partial Boolean derivatives
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DOI: 10.1177/1748006X15598722
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References listed on IDEAS
- Schneeweiss, Winfrid G., 2009. "A short Boolean derivation of mean failure frequency for any (also non-coherent) system," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1363-1367.
- Barlow, Richard E. & Proschan, Frank, 1975. "Importance of system components and fault tree events," Stochastic Processes and their Applications, Elsevier, vol. 3(2), pages 153-173, April.
- Yeh, Wei-Chang, 2006. "A new algorithm for generating minimal cut sets in k-out-of-n networks," Reliability Engineering and System Safety, Elsevier, vol. 91(1), pages 36-43.
- Yeh, Wei-Chang, 2008. "An improved algorithm for searching all minimal cuts in modified networks," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 1018-1024.
- Contini, Sergio & Matuzas, Vaidas, 2011. "Analysis of large fault trees based on functional decomposition," Reliability Engineering and System Safety, Elsevier, vol. 96(3), pages 383-390.
- Haarla, Liisa & Pulkkinen, Urho & Koskinen, Mikko & Jyrinsalo, Jussi, 2008. "A method for analysing the reliability of a transmission grid," Reliability Engineering and System Safety, Elsevier, vol. 93(2), pages 277-287.
- Choi, Jong Soo & Cho, Nam Zin, 2007. "A practical method for accurate quantification of large fault trees," Reliability Engineering and System Safety, Elsevier, vol. 92(7), pages 971-982.
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Cited by:
- Kawahara, Jun & Sonoda, Koki & Inoue, Takeru & Kasahara, Shoji, 2019. "Efficient construction of binary decision diagrams for network reliability with imperfect vertices," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 142-154.
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Keywords
Minimal cut (path) set; minimal cut (path) vector; structure function; Fussell–Vesely importance; direct partial Boolean derivative;All these keywords.
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