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On geometric reduction of age or intensity models for imperfect maintenance

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  • Doyen, Laurent
  • Gaudoin, Olivier
  • Syamsundar, Annamraju

Abstract

There is an extensive literature on imperfect maintenance models. Among them, we have proposed in Doyen and Gaudoin (2004) [13] the classes of ARA and ARI models. These models express the effect of maintenance by an Arithmetic Reduction of Age (for ARA models) and an Arithmetic Reduction of Intensity (for ARI models). The aim of this paper is to study the possibility of building equivalent models with a Geometric Reduction of Age or Intensity: the GRA and GRI models. Several ideas leading to different possible models are presented. A list of potential GRI-GRA models is established. A brief illustration of their behavior is given based on simulated data and an application to real maintenance data is presented.

Suggested Citation

  • Doyen, Laurent & Gaudoin, Olivier & Syamsundar, Annamraju, 2017. "On geometric reduction of age or intensity models for imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 40-52.
    • Handle: RePEc:eee:reensy:v:168:y:2017:i:c:p:40-52
    DOI: 10.1016/j.ress.2017.03.015
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    References listed on IDEAS

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    1. Tanwar, Monika & Rai, Rajiv N. & Bolia, Nomesh, 2014. "Imperfect repair modeling using Kijima type generalized renewal process," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 24-31.
    2. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, August.
    3. Remy, Emmanuel & Corset, Franck & Despréaux, Stéphane & Doyen, Laurent & Gaudoin, Olivier, 2013. "An example of integrated approach to technical and economic optimization of maintenance," Reliability Engineering and System Safety, Elsevier, vol. 116(C), pages 8-19.
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    Citations

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    Cited by:

    1. Yevkin, Alexander & Krivtsov, Vasiliy, 2020. "A generalized model for recurrent failures prediction," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    2. Lijun Shang & Guojun Shang & Qingan Qiu, 2022. "A Bivariate Post-Warranty Maintenance Model for the Product under a 2D Warranty," Mathematics, MDPI, vol. 10(12), pages 1-18, June.
    3. Syamsundar, A. & Naikan, V.N.A. & Wu, Shaomin, 2020. "Alternative scales in reliability models for a repairable system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    4. Nafisah, Ibrahim & Shrahili, Mansour & Alotaibi, Naif & Scarf, Phil, 2019. "Virtual series-system models of imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 604-613.
    5. Shang, Lijun & Liu, Baoliang & Qiu, Qingan & Yang, Li & Du, Yongjun, 2023. "Designing warranty and maintenance policies for products subject to random working cycles," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    6. Brenière, Léa & Doyen, Laurent & Bérenguer, Christophe, 2020. "Virtual age models with time-dependent covariates: A framework for simulation, parametric inference and quality of estimation," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    7. Ait Mokhtar, El Hassene & Laggoune, Radouane & Chateauneuf, Alaa, 2023. "Imperfect maintenance modeling and assessment of repairable multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    8. Wang, Naichao & Li, Mingyuan & Xiao, Boping & Ma, Lin, 2019. "Availability analysis of a general time distribution system with the consideration of maintenance and spares," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    9. 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).
    10. Wu, Shaomin & Do, Phuc, 2017. "Editorial," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 1-3.
    11. Wu, Shaomin, 2019. "A failure process model with the exponential smoothing of intensity functions," European Journal of Operational Research, Elsevier, vol. 275(2), pages 502-513.
    12. Liu, Qiannan & Ma, Lin & Wang, Naichao & Chen, Ankang & Jiang, Qihang, 2022. "A condition-based maintenance model considering multiple maintenance effects on the dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 220(C).

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