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A condition-based maintenance for a system subject to multiple degradation processes and external shocks

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  • I.T. Castro
  • N.C. Caballé
  • C.J. Pérez

Abstract

This paper analyses a condition-based maintenance for a system subject to different competing failure modes: internal degradation and external shocks. Internal degradation is the result of the arrival to the system of multiple cracks that grow according to stochastic deterioration processes. External shocks arrive to the system at random times and provoke the system failure. A condition-based maintenance model with periodic inspection times is developed for this competing failure model. Under this maintenance strategy, a preventive replacement is performed when the degradation level of a given crack in an inspection time exceeds a predetermined threshold. A corrective replacement is performed when the system is failed in an inspection time. Under this maintenance scheme, the expression of the expected cost rate is obtained. A numerical example illustrates the maintenance model.

Suggested Citation

  • I.T. Castro & N.C. Caballé & C.J. Pérez, 2015. "A condition-based maintenance for a system subject to multiple degradation processes and external shocks," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(9), pages 1692-1704, July.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:9:p:1692-1704
    DOI: 10.1080/00207721.2013.828796
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    References listed on IDEAS

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    1. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, February.
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    Cited by:

    1. Finkelstein, Maxim & Cha, Ji Hwan & Bedford, Tim, 2023. "Optimal preventive maintenance strategy for populations of systems that generate outputs," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    2. Maxim Finkelstein & Ji Hwan Cha & Shyamal Ghosh, 2021. "Optimal inspection for missions with a possibility of abortion or switching to a lighter regime," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 722-740, October.
    3. Shafiee, Mahmood & Finkelstein, Maxim & Bérenguer, Christophe, 2015. "An opportunistic condition-based maintenance policy for offshore wind turbine blades subjected to degradation and environmental shocks," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 463-471.
    4. Bautista, Lucía & Castro, Inma T. & Landesa, Luis, 2022. "Condition-based maintenance for a system subject to multiple degradation processes with stochastic arrival intensity," European Journal of Operational Research, Elsevier, vol. 302(2), pages 560-574.
    5. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2021. "Optimal warranty policy with inspection for heterogeneous, stochastically degrading items," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1142-1152.
    6. Finkelstein, Maxim & Cha, Ji Hwan & Langston, Amy, 2023. "Improving classical optimal age-replacement policies for degrading items," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    7. Cha, Ji Hwan & Finkelstein, Maxim, 2018. "On information-based residual lifetime in survival models with delayed failures," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 209-216.
    8. Ji Hwan Cha & Maxim Finkelstein, 2019. "On some characteristics of quality for systems operating in a random environment," Journal of Risk and Reliability, , vol. 233(2), pages 257-267, April.
    9. Alaswad, Suzan & Xiang, Yisha, 2017. "A review on condition-based maintenance optimization models for stochastically deteriorating system," Reliability Engineering and System Safety, Elsevier, vol. 157(C), pages 54-63.
    10. Cha, Ji Hwan & Finkelstein, Maxim & Levitin, Gregory, 2018. "Bivariate preventive maintenance of systems with lifetimes dependent on a random shock process," European Journal of Operational Research, Elsevier, vol. 266(1), pages 122-134.
    11. Chun-Ho Wang & Chao-Hui Huang & Deng-Guei You, 2022. "Condition-Based Multi-State-System Maintenance Models for Smart Grid System with Stochastic Power Supply and Demand," Sustainability, MDPI, vol. 14(13), pages 1-29, June.
    12. N. C. Caballé & I. T. Castro, 2019. "Assessment of the maintenance cost and analysis of availability measures in a finite life cycle for a system subject to competing failures," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 255-290, March.
    13. Ji Hwan Cha & Maxim Finkelstein, 2019. "Optimal preventive maintenance for systems having a continuous output and operating in a random environment," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 327-350, July.
    14. Zhang, Jian & Huang, Xiaoyan & Fang, Youtong & Zhou, Jing & Zhang, He & Li, Jing, 2016. "Optimal inspection-based preventive maintenance policy for three-state mechanical components under competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 95-103.
    15. Srivastav, Himanshu & Lundteigen, Mary Ann & Barros, Anne, 2021. "Introduction of degradation modeling in qualification of the novel subsea technology," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    16. Ji Hwan Cha & Maxim Finkelstein & Gregory Levitin, 2017. "Bivariate preventive maintenance for repairable systems subject to random shocks," Journal of Risk and Reliability, , vol. 231(6), pages 643-653, December.

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