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A tool for evaluating repairable systems based on Generalized Renewal Processes

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  • de Oliveira, Cícero Carlos Felix
  • Firmino, Paulo Renato Alves
  • Cristino, Cláudio Tadeu

Abstract

Generalized Renewal Processes -GRP- have been in the kernel of modelling repairable systems. Via a virtual age function, they extend classical reliability engineering formalisms, such as renewal and Poisson processes. Via point estimation, GRP practitioners have evaluated intervention crews as well as forecasted the occurrence of undesirable events underlying the system. Assuming an interval estimation perspective, this paper introduces a hypothesis testing framework for GRP. Thus, it makes possible to measure the uncertainty when inferring the stage of the system (e.g. whether stable or deteriorating) and the quality of the interventions. The approach focus on the Weibull-based GRP, notably the main GRP found in the literature. The usefulness of the method is illustrated via real world cases involving offshore, windshield, and transformer facilities. Simulated cases are also studied.

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  • de Oliveira, Cícero Carlos Felix & Firmino, Paulo Renato Alves & Cristino, Cláudio Tadeu, 2019. "A tool for evaluating repairable systems based on Generalized Renewal Processes," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 281-297.
    • Handle: RePEc:eee:reensy:v:183:y:2019:i:c:p:281-297
    DOI: 10.1016/j.ress.2018.11.025
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    References listed on IDEAS

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    1. Rajiv N. Rai & Garima Sharma, 2017. "Goodness-of-fit test for generalised renewal process," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 11(1/2), pages 116-131.
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    5. Madhu Jain & Sandhya Maheshwari, 2006. "Generalized Renewal Process (Grp) For The Analysis Of Software Reliability Growth Model," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 23(02), pages 215-227.
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    8. Badía, F.G. & Berrade, M.D. & Cha, Ji Hwan & Lee, Hyunju, 2018. "Optimal replacement policy under a general failure and repair model: Minimal versus worse than old repair," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 362-372.
    9. Ali, Sajid & Pievatolo, Antonio, 2018. "Time and magnitude monitoring based on the renewal reward process," Reliability Engineering and System Safety, Elsevier, vol. 179(C), pages 97-107.
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    Cited by:

    1. Hu, Wei & Westerlund, Per & Hilber, Patrik & Chen, Chuanhai & Yang, Zhaojun, 2022. "A general model, estimation, and procedure for modeling recurrent failure process of high-voltage circuit breakers considering multivariate impacts," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    2. Hu, Wei & Yang, Zhaojun & Chen, Chuanhai & Wu, Yue & Xie, Qunya, 2021. "A Weibull-based recurrent regression model for repairable systems considering double effects of operation and maintenance: A case study of machine tools," Reliability Engineering and System Safety, Elsevier, vol. 213(C).

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