A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions

DOI10.1080/03610926.2013.851239zbMath1338.90145OpenAlexW2259333884MaRDI QIDQ2807732

Furi Guo, Baoliang Liu, Lirong Cui, Yanqing Wen

Publication date: 25 May 2016

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

Full work available at URL: https://doi.org/10.1080/03610926.2013.851239

zbMATH Keywords

reliabilityMarkov processphase-type distributionmultiple vacationsrate of occurrence of failure

Mathematics Subject Classification ID

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

Related Items (4)

Analysis of two components parallel repairable system with vacation ⋮ Analysis of two components parallel repairable degenerate system with vacation ⋮ Analysis of a deteriorating system with delayed repair and unreliable repair equipment ⋮ Availability and reliability analysis of a retrial system with warm standbys and second optional repair service

Cites Work

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• Reliability analysis of a warm standby repairable system with priority in use
• Two shock and wear systems under repair standing a finite number of shocks
• Replacement times and costs in a degrading system with several types of failure: the case of phase-type holding times
• A maintenance model with failures and inspection following Markovian arrival processes and two repair modes
• Reliability of a system under two types of failures using a Markovian arrival process
• Reliability evaluation of multi-component cold-standby redundant systems
• A multiple warm standby system with operational and repair times following phase-type distributions

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