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Extended arithmetic reduction of age models for the failure process of a repairable system

Syamsundar, Annamraju, 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, . Article Number 107875. ISSN 0951-8320. (doi:10.1016/j.ress.2021.107875) (KAR id:88791)


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 if the initial intensity function is the power law, then 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.

Item Type: Article
DOI/Identification number: 10.1016/j.ress.2021.107875
Uncontrolled keywords: Repairable system; Failure process; Imperfect Repair; Monotonic trend; Non-monotonic trend; Extended Arithmetic Reduction of Age Model
Subjects: H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Divisions > Kent Business School - Division > Department of Analytics, Operations and Systems
Depositing User: Shaomin Wu
Date Deposited: 22 Jun 2021 09:10 UTC
Last Modified: 22 Jun 2023 23:00 UTC
Resource URI: (The current URI for this page, for reference purposes)

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