On the equivalence of systems of different sizes, with applications to system comparisons

DOI10.1017/apr.2016.3zbMath1344.60084OpenAlexW2416177409MaRDI QIDQ5740691

Bo Henry Lindqvist, Arne Bang Huseby, Francisco J. Samaniego

Publication date: 27 July 2016

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: http://projecteuclid.org/euclid.aap/1465490751

zbMATH Keywords

stochastic ordercoherent system\(k\)-out-of-\(n\) systemsystem signaturereliability polynomialmixed systemcut setreliability economicscritical path vectorirrelevant components

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)

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Equivalency in joint signatures for binary/multi-state systems of different sizes ⋮ ON THE COMPARISON OF PERFORMANCE-PER-COST FOR COHERENT AND MIXED SYSTEMS ⋮ The joint reliability signature of order statistics ⋮ The joint signature of parallel systems for different permutations of failure times ⋮ Dynamic IFR concepts for coherent systems ⋮ The failure probability of components in three-state networks with applications to age replacement policy ⋮ Stochastic comparisons of coherent systems under different random environments ⋮ On comparing coherent systems with heterogeneous components ⋮ Preservation of the mean residual life order for coherent and mixed systems ⋮ Comparing lifetimes of coherent systems with dependent components operating in random environments

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