Reliability formula \& limit law of the failure time of ``\(m\)-consecutive-\(k\)-out-of-\(n\):\(F\) system

DOI10.1007/s11750-007-0034-zzbMath1162.90409OpenAlexW2066033112WikidataQ81164339 ScholiaQ81164339MaRDI QIDQ1024696

Namir Ghoraf

Publication date: 17 June 2009

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11750-007-0034-z

zbMATH Keywords

recursive formulaPoisson limit law\(m\)-consecutive-\(k\)-out-of-\(n:F\) systemarbitrary component failure distributionconsecutive-\(k\)-out-of-\(n\):\(F\) system

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (4)

Stochastic modelling of operational quality of \(k\)-out-of-\(n\) systems ⋮ Signature based analysis of m -Consecutive-k -out-of-n : F systems with exchangeable components ⋮ Central Limit Theorem Approximations for the Number of Runs in Markov-dependent Multi-type Sequences ⋮ Mixture representations for the reliability of consecutive-\(k\) systems

Cites Work

• Unnamed Item
• On the class of limit reliability functions of homogeneous series-``\(k\)-out-of-\(n\) systems
• Fast formula of a reliability of \(m\)-consecutive-\(k\)-out-of-\(n:F\) system with cycle \(k\)
• Consecutive \(k\) out of \(n:F\) systems with cycle \(k\)
• A limit theorem for the reliability of a consecutive-k-out-of-n system
• Limit distribution for a consecuttve-k-out-of-n: F system
• On the Consecutive-k-of-n:F System
• Fast Solutions for Consecutive-k-out-of-n: F System
• On a Markov chain approach for the study of reliability structures
• m-consecutive-k-out-of-n:F systems

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