Importance of components in \(k\)-out-of-\(n\) system with components having random weights

DOI10.1016/J.CAM.2015.09.009zbMath1336.90031OpenAlexW1810548069MaRDI QIDQ898924

Muhyiddin Izadi, Rabi-Allah Rahmani, Baha-Eldin Khaledi

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.09.009

zbMATH Keywords

usual stochastic order\(r\)-\(w\)-\(k\)-out-of-\(n\) systemBirnbaum reliability importanceweighted importanceweighted-\(c\)-out-of-\(n\) system

Mathematics Subject Classification ID

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

Related Items (7)

Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components ⋮ \((k_1, k_2, \ldots, k_m)\)-out-of-\(n\) system and its reliability ⋮ Stochastic comparisons of total capacity of weighted-\(k\)-out-of-\(n\) systems ⋮ Optimal allocation of active redundancies in weighted \(k\)-out-of-\(n\) systems ⋮ On capacity evaluation for multi-state weighted k-out-of-n system ⋮ On the phase transition of \(k\)-out-of-\(n\) systems with applications to optimal maintenance ⋮ Joint reliability and weighted importance measures of a \(k\)-out-of-\(n\) system with random weights for components

Cites Work

• Stochastic orders
• Analysis for joint importance of components in a coherent system
• A suggestion of a new measure of importance of system components
• On a general measure of component importance
• Importance of system components and fault tree events
• Measures of component importance in reliability theory
• Dynamic modeling of general three-state \(k\)-out-of-\(n:G\) systems: permanent-based computational results
• Systems with weighted components
• Computing reliability indices of repairable systems via signature
• Component importance for linear consecutive‐ k ‐Out‐of‐ n and m ‐Consecutive‐ k ‐Out‐of‐ n systems with exchangeable components
• A new index of component importance

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