Modeling dependence in the inter-failure times. An analysis in reliability models by Markovian arrival processes

DOI10.1016/J.CAM.2017.12.022zbMath1457.90060OpenAlexW2783570021MaRDI QIDQ1643896

Cristina Santamaría, Belén García-Mora, Gregorio Rubio

Publication date: 20 June 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10251/121418

zbMATH Keywords

reliabilityphase-type distributionErlang distributioninter-arrival timesnon-stationary Markovian arrival process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Cites Work

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• An introduction to copulas. Properties and applications
• An Introduction to Queueing Theory and Matrix-Analytic Methods
• Shock models with phase type survival and shock resistance
• Input Modeling with Phase-Type Distributions and Markov Models

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