A shock and wear system with memory of the phase of failure

DOI10.1016/J.MCM.2011.05.024zbMath1235.60122OpenAlexW2073286844MaRDI QIDQ409868

Rafael Pérez-Ocón, Delia Montoro-Cazorla

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.05.024

zbMATH Keywords

phase-type distributionMarkovian arrival processshock and wear model

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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Cites Work

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• Phase-type models for cellular networks supporting voice, video and data traffic
• Shock models under a Markovian arrival process
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• Reliability of a system under two types of failures using a Markovian arrival process
• Availability of inspected systems subject to shocks - A matrix algorithmic approach
• Preventive maintenance for inspected systems with additive subexponential shock magnitudes
• Shock models with phase type survival and shock resistance
• Repairable models with operating and repair times governed by phase type distributions
• On identifiability and order of continuous-time aggregated Markov chains, Markov-modulated Poisson processes, and phase-type distributions

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