Stochastic Intensity for Minimal Repairs in Heterogeneous Populations

DOI10.1239/jap/1316796921zbMath1226.60122OpenAlexW2080814808WikidataQ58293222 ScholiaQ58293222MaRDI QIDQ3094700

Maxim Finkelstein, Ji Hwan Cha

Publication date: 25 October 2011

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1316796921

zbMATH Keywords

frailtyminimal repairheterogeneous populationintensity processupdating procedure

Mathematics Subject Classification ID

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

Related Items (13)

On information-based warranty policy for repairable products from heterogeneous population ⋮ New stochastic models for preventive maintenance and maintenance optimization ⋮ Poisson generalized gamma process and its properties ⋮ Characterization of the Generalized Pólya Process and its Applications ⋮ Stochastic modelling of operational quality of \(k\)-out-of-\(n\) systems ⋮ Poisson generalized Lindley process and its properties ⋮ Determination of optimal warranty period with preventive maintenance actions for items from heterogeneous populations ⋮ Probabilistic and cost analyses of a renewable warranty with an inspection policy for a discrete operating item from a heterogeneous population ⋮ Stochastic analysis of preventive maintenance in heterogeneous populations ⋮ Point process approach to modeling and analysis of general cascading failure models ⋮ A new generalized burn-in procedure for items in stochastically evolving population ⋮ Poisson Lindley process and its main properties ⋮ On Stochastic Predictions of Failure Processes Under Population Heterogeneity

Cites Work

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• Failure rate modeling for reliability and risk
• On information-based minimal repair and the reduction in remaining system lifetime due to the failure of a specific module
• Change of Life Distribution Via a Hazard Transformation: An Inequality with Application to Minimal Repair
• Some notes on two types of minimal repair
• Statistical and information based (physical) minimal repair for k out of n Systems
• Stochastic Models in Reliability
• A general minimal repair model
• Minimal repair in heterogeneous populations

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