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Extended Arithmetic Reduction of Age Models for the Failure Process of a Repairable System

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  • Syamsundar, A.
  • Naikan, V.N.A.
  • Wu, Shaomin

Abstract

In the reliability literature, imperfect repair processes, a kind of stochastic processes, are used to model the failure process of a repairable system. An imperfect repair process with the arithmetic reduction of age (ARA) modifies the age of the system but suffers from the drawback that the intensity after repairs remains parallel to the initial intensity. To address this drawback, this paper proposes a failure process model with an extended arithmetic reduction of age. In this model, a geometric repair factor is introduced to extend the arithmetic reduction of the age process. This process is compared with existing monotonic and non-monotonic imperfect repair processes. It is found that the proposed model performs better, in terms of the corrected Akaike information criterion, at modelling failure data with trend than the existing models, based on three real datasets.

Suggested Citation

  • Syamsundar, A. & Naikan, V.N.A. & Wu, Shaomin, 2021. "Extended Arithmetic Reduction of Age Models for the Failure Process of a Repairable System," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    • Handle: RePEc:eee:reensy:v:215:y:2021:i:c:s095183202100394x
    DOI: 10.1016/j.ress.2021.107875
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    References listed on IDEAS

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    1. Toledo, Maria Luíza Guerra de & Freitas, Marta A. & Colosimo, Enrico A. & Gilardoni, Gustavo L., 2015. "ARA and ARI imperfect repair models: Estimation, goodness-of-fit and reliability prediction," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 107-115.
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    8. Shaomin Wu, 2018. "Doubly geometric processes and applications," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(1), pages 66-77, January.
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    Cited by:

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