Joint reliability and weighted importance measures of a \(k\)-out-of-\(n\) system with random weights for components

DOI10.1016/j.cam.2017.05.042zbMath1378.62119OpenAlexW2622003013MaRDI QIDQ2012607

Eisa Mahmoudi, R. S. Meshkat

Publication date: 1 August 2017

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.2017.05.042

zbMATH Keywords

stochastic orderjoint reliability importancejoint weighted importancerandom weighted-\(k\)-out-of-\(n\) system

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Reliability and life testing (62N05)

Related Items

Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components, Reliability and capacity evaluation of multi-performance multi-state weighted K⁻-out-of-n systems, \((k_1, k_2, \ldots, k_m)\)-out-of-\(n\) system and its reliability, 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, Consecutive k and Related Models—A Survey

Cites Work

• Stochastic orders
• Importance of components in \(k\)-out-of-\(n\) system with components having random weights
• Importance of system components and fault tree events
• Measures of component importance in reliability theory
• A cost-based importance measure for system components: an extension of the Birnbaum importance
• Importance measures in reliability and mathematical programming
• Systems with weighted components
• Joint reliability-importance of two edges in an undirected network
• Component importance for linear consecutive‐ k ‐Out‐of‐ n and m ‐Consecutive‐ k ‐Out‐of‐ n systems with exchangeable components