Reliability evaluation of generalised multi-statek-out-of-nsystems based on FMCI approach

DOI10.1080/00207720903353609zbMath1205.62155OpenAlexW2061187602MaRDI QIDQ3072444

Lirong Cui, Xian Zhao

Publication date: 3 February 2011

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207720903353609

zbMATH Keywords

finite Markov chain imbedding approachmulti-state systems\(k\)-out-of-\(n\) systemssystem state distribution

Mathematics Subject Classification ID

Reliability and life testing (62N05) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (13)

Reliability computing method for generalized \(k\)-out-of-\(n\) system ⋮ ALGEBRAIC RELIABILITY OF MULTI-STATE k-OUT-OF-n SYSTEMS ⋮ On the Use of the Importance Measure for Multi-State Repairablek-out-of-n:GSystems ⋮ Reliability analysis of \(k\)-out-of-\(n\):F balanced systems with multiple functional sectors ⋮ Consecutive k and Related Models—A Survey ⋮ Sequential Series Systems and Their Risk Assessments ⋮ Dynamic modeling of general three-state \(k\)-out-of-\(n:G\) systems: permanent-based computational results ⋮ The failure probability of components in three-state networks with applications to age replacement policy ⋮ On the mean number of remaining components in three-state $k$-out-of-$n$ system ⋮ Compositional Performance Evaluation with Importance Measures ⋮ Integrated system health management-oriented maintenance decision-making for multi-state system based on data mining ⋮ A new uncertainty evaluation method and its application in evaluating software quality ⋮ Reliability analysis of J-out-of-N system with Nadarajah-Haghighi component under generalised progressive hybrid censoring

Cites Work

• A limit theorem of certain repairable systems
• On the dual reliability systems of \((n,f,k)\) and \(\langle n,f,k \rangle\)
• Recursive Algorithm for Reliability Evaluation of k-out-of-n:G System
• The Availability of a k-out-of-n:G Network
• Reliability of Consecutive-k-out-of-n:F Systems with (k-1)-step Markov Dependence
• Two Recursive Algorithms for Computing the Reliability of k-out-of-n Systems
• On Reliability of a Large Consecutive-k-out-of-n:F System with (k - 1)-step Markov Dependence
• The efficiency of computing the reliability of k-out-of-n systems
• The reliability of a large series system under Markov structure
• Multistate coherent systems
• Distribution Theory of Runs: A Markov Chain Approach

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