Optimal allocation of active redundancies in weighted \(k\)-out-of-\(n\) systems

DOI10.1016/j.spl.2017.12.002zbMath1391.90211OpenAlexW2777646939MaRDI QIDQ1650304

Yiying Zhang

Publication date: 3 July 2018

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2017.12.002

zbMATH Keywords

usual stochastic orderoptimal allocationactive redundanciesweighted \(k\)-out-of-\(n\) system

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (12)

Stochastic comparisons on total capacity of weighted k-out-of-n systems with heterogeneous components ⋮ Optimal redundancy allocation in coherent systems with heterogeneous dependent components ⋮ Orderings of component level versus system level at active redundancies for coherent systems with dependent components ⋮ ON RELIABILITY FUNCTION OF A K-OUT-OF-N SYSTEM WITH GENERAL REPAIR TIME DISTRIBUTION ⋮ Allocation of redundancies in systems: a general dependency-base framework ⋮ Standby redundancies at component level versus system level in series system ⋮ Component level versus system level at active redundancies for coherent systems with dependent heterogeneous components ⋮ Reliability optimization of parallel-series and series-parallel systems with statistically dependent components ⋮ Optimal allocation of a coherent system with statistical dependent subsystems ⋮ Rational expectations as a tool for predicting failure of weighted \(k\)-out-of-\(n\) reliability systems ⋮ On redundant weighted voting systems with components having stochastic arrangement increasing lifetimes ⋮ Optimal allocation of relevations in coherent systems

Cites Work

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• Stochastic comparisons of total capacity of weighted-\(k\)-out-of-\(n\) systems
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• Stochastic orders
• Importance of components in \(k\)-out-of-\(n\) system with components having random weights
• A note on warm standby system
• Optimal allocation of active redundancies in \(r\)-out-of-\(n\) systems
• Systems with weighted components
• Active Redundancy Allocation in Coherent Systems
• Optimal Allocation of Active Redundancies to k-out-of-n Systems with Heterogeneous Components
• Optimal Allocation of Active Spares in Series Systems and Comparison of Component and System Redundancies
• Stochastic order for redundancy allocations in series and parallel systems
• Optimal allocation of resources to nodes of parallel and series systems
• On redundancy allocations in systems
• Allocating active redundancies to k‐out‐of‐n reliability systems with permutation monotone component lifetimes
• ON WEIGHTED K-OUT-OF-N SYSTEMS WITH STATISTICALLY DEPENDENT COMPONENT LIFETIMES
• Inequalities: theory of majorization and its applications

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