Consecutive \(k\)-out-of-\(n\) systems with maintenance

DOI10.1007/BF00053392zbMath0772.60064MaRDI QIDQ1260717

Stavros G. Papastavridis, Markos V. Koutras

Publication date: 25 August 1993

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

lifetime distributionsconsecutive \(k\)-out-of-\(n\) systemreliability boundsWeibull limit theorem

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (5)

Reliability bounds for coherent structures with independent components ⋮ Compound geometric distribution of order \(k\) ⋮ Consecutive k and Related Models—A Survey ⋮ Signature based analysis of m -Consecutive-k -out-of-n : F systems with exchangeable components ⋮ A general model for consecutive-\(k\)-out-of-\(n:F\) repairable system with exponential distribution and \((k-1)\)-step Markov dependence.

Cites Work

• Unnamed Item
• A limit theorem of certain repairable systems
• A limit theorem for the reliability of a consecutive-k-out-of-n system
• Reliability of a Large Consecutive-k-out-of-n:F System
• Bounds for Reliability of Large Consecutive-K-out-of-N:F Systems with Unequal Component Reliability
• Simplified Reliabilities for Consecutive-k-out-of-nSystems
• Theory of Maintained Systems: Distribution of Time to First System Failure
• On the Consecutive-k-of-n:F System
• On the first time a separately maintained parallel system has been down for a fixed time
• Reliability of an Independent Component, s-Spare System with Exponential Life Times and General Repair Times

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