Random number of units for \(K\)-out-of-\(n\) systems

DOI10.1016/J.APM.2017.01.027zbMath1446.90067OpenAlexW2579185506MaRDI QIDQ2290150

Xufeng Zhao, Kodo Ito, Toshio Nakagawa

Publication date: 27 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.01.027

zbMATH Keywords

reliabilityPoisson distributionreplacementmean time to failureredundant system

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Reliability and life testing (62N05)

Related Items (11)

FURTHER RESULTS ON STOCHASTIC ORDERINGS AND AGING CLASSES IN SYSTEMS WITH AGE REPLACEMENT ⋮ Extended age maintenance models and its optimization for series and parallel systems ⋮ Preventive replacement policies for parallel systems with deviation costs between replacement and failure ⋮ A sampling plan for one-shot systems considering destructive inspection ⋮ Optimization problems for consecutive-2-out-of-n:G system ⋮ Approximate calculations of age-based random replacement times ⋮ Reliability analysis of \(k\)-out-of-\(n\):F balanced systems with multiple functional sectors ⋮ On the phase transition of \(k\)-out-of-\(n\) systems with applications to optimal maintenance ⋮ Extended repair model for a deteriorating system with its repairman having vacations ⋮ Optimization issues in \(k\)-out-of-\(n\) systems ⋮ Reliability modeling for a repairable \((k_1, k_2)\)-out-of-\(n\): \(G\) system with phase-type vacation time

Cites Work

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• Reliability analysis of a \(k\)-out-of-\( n: G\) repairable system with single vacation
• Computing tolerance limits for the lifetime of a \(k\)-out-of-\(n\):\(F\) system based on prior information and censored data
• Parallel and consecutive-\(k\)-out-of-\(n\):F systems under stochastic deterioration
• Partial Ordering and Aging Properties of Order Statistics When the Sample Size is Random: A Brief Review
• Steady-State Availability of k-out-of-n:G System with Single Repair
• Optimization Problems in k-out-of-n Systems
• Distribution of order statistics with random sample size
• Stochastic comparisons of random minima and maxima
• Mean Time to Failure of Weightedk-out-of-n: G Systems
• Stochastic comparisons of random minima and maxima from life distributions

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