A Repairable System Subjected to Hierarchical Competing Risks: Modeling and Applications

In this paper, we propose modeling for a single repairable system with a hierarchical structure under the assumption that the failures follow a nonhomogeneous Poisson process (which corresponds to minimal repair action) with a power-law intensity function. The properties of the new model are discuss...

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Bibliographic Details
Published in:IEEE access 2019, Vol.7, p.171707-171723
Main Authors: Louzada, Francisco, Alegria, Luis F. A., Colombo, Danilo, Martins, David E. A., Santos, Hugo F. L., Cuminato, Jose A., Rodriguez, Oscar M. H., Tomazella, Vera L. D., Ferreira, Paulo H., Ramos, Pedro L., Niaki, Seyed R. A., Gonzatto, Oilson A., Perissini, Ivan C.
Format: Article
Language:English
Subjects:
Bias
Bias correction
Butterfly valves
competing risks
Confidence intervals
Data models
Estimators
hierarchical systems
Maintenance engineering
Maximum likelihood estimation
Maximum likelihood method
Modelling
Parameter estimation
Periodic structures
power-law process
Reliability engineering
Statistical analysis
Structural hierarchy
Valves
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Summary:In this paper, we propose modeling for a single repairable system with a hierarchical structure under the assumption that the failures follow a nonhomogeneous Poisson process (which corresponds to minimal repair action) with a power-law intensity function. The properties of the new model are discussed in detail. The parameter estimators are obtained using the maximum likelihood method. A corrective approach is used to remove bias with order O(n -1 ), and the respective exact confidence intervals are proposed. A simulation study is conducted to show that our estimators are bias-free. The proposed modeling is illustrated via a toy example on a butterfly valve system, an example of an early-stage real project related to the traction system of an in-pipe robot, and also a real example on a blowout preventer system.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2019.2954767