The optimal allocation of active redundancies to \(k\)-out-of-\(n\) systems with respect to hazard rate ordering

DOI10.1016/j.jspi.2012.02.025zbMath1408.62166OpenAlexW2052430660MaRDI QIDQ419303

Weiyong Ding, Xiaohu Li

Publication date: 18 May 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2012.02.025

zbMATH Keywords

(reversed) hazard rate orderactive redundanciesmajorization orderproportional (reversed) hazard rate

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Reliability and life testing (62N05)

Related Items (13)

ON OPTIMAL HETEROGENEOUS COMPONENTS GROUPING IN SERIES-PARALLEL AND PARALLEL-SERIES SYSTEMS ⋮ Bi-objective reliability optimization of switch-mode \(k\)-out-of-\(n\) series-parallel systems with active and cold standby components having failure rates dependent on the number of components ⋮ Optimal allocation of active redundancies in weighted \(k\)-out-of-\(n\) systems ⋮ Stochastic comparisons of relevation allocation policies in coherent systems ⋮ Optimal allocation of a coherent system with statistical dependent subsystems ⋮ Stochastic comparison on active redundancy allocation to K-out-of-N systems with statistically dependent component and redundancy lifetimes ⋮ On optimal allocation of active redundancies to multi-state $r$-out-of-$n$ systems ⋮ COMPARISONS OF SERIES AND PARALLEL SYSTEMS WITH HETEROGENEOUS COMPONENTS ⋮ Redundancy in systems with heterogeneous dependent components ⋮ Reliability analysis of k-out-of-n systems based on a grouping of components ⋮ On redundant weighted voting systems with components having stochastic arrangement increasing lifetimes ⋮ On Allocation of Active Redundancies to Systems: A Brief Review ⋮ On allocation of redundant components for systems with dependent components

Cites Work

• Unnamed Item
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• Stochastic orders
• Stochastic comparisons of parallel systems of heterogeneous exponential components
• Optimal allocation of active redundancies in \(r\)-out-of-\(n\) systems
• On the Allocation of General Standby Redundancy to Series and Parallel Systems
• Some new results involving general standby systems
• Comparison of order statistics in a random sequence to the same statistics with i.i.d. variables
• Optimal Allocation of Active Redundancies to k-out-of-n Systems with Heterogeneous Components
• Modelling a general standby system and evaluation of its performance
• Optimal Allocation of Active Spares in Series Systems and Comparison of Component and System Redundancies
• Optimal allocation of resources to nodes of parallel and series systems
• Applications of the hazard rate ordering in reliability and order statistics
• STOCHASTIC COMPARISONS OF PARALLEL SYSTEMS WHEN COMPONENTS HAVE PROPORTIONAL HAZARD RATES

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