Numerical Method for Reliability Analysis of Phased-Mission System Using Markov Chains

DOI10.1080/03610926.2012.697969zbMath1268.60100OpenAlexW2062682373MaRDI QIDQ4649612

Hua Yan, Xiaoyue Wu, Lirong Li

Publication date: 12 November 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2012.697969

zbMATH Keywords

numerical methoduniformizationreliability analysiscontinuous time Markov chaininfinitesimal generator matrixphased-mission system

Mathematics Subject Classification ID

Computational methods in Markov chains (60J22) Reliability, availability, maintenance, inspection in operations research (90B25) Numerical analysis or methods applied to Markov chains (65C40)

Related Items (4)

Reliability of repairable multi-state two-phase mission systems with finite number of phase switches ⋮ Variance-based importance analysis measure for mission reliability of phased mission system ⋮ Reliabilities of a single-unit system with multi-phased missions ⋮ Reliability assessment of multi-state phased mission system with non-repairable multi-state components

Cites Work

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• A numerical study of large sparse matrix exponentials arising in Markov chains.
• Automated analysis of phased-mission reliability
• Quantitative Reliability Evaluation of Repairable Phased-Mission Systems Using Markov Approach
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

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