A definition of generalized \(k\)-out-of-\(n\) multistate systems and their structural and probabilistic properties

DOI10.1007/BF03167404zbMath0907.90154OpenAlexW2038712971MaRDI QIDQ1128286

Fumio Ohi, Shuichi Shinmori

Publication date: 25 October 1998

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167404

zbMATH Keywords

failureintermediate statesnormalparallel systemseries systemminimal element\(k\)-out-of-\(n\) multistate systemsmultistate systemsoptimal safety monitoring systems

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Cites Work

• k-out-of-n:G Systems Are Preferable
• A decomposition for multistate monotone systems
• Multistate coherent systems
• Coherent Systems with Multi-State Components
• ON AN EXTENSION OF BARLOW-WU SYSTEMS : BASIC PROPERTIES
• Multistate reliability models
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