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Modelling and application of condition-based maintenance for a two-component system with stochastic and economic dependencies

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  • Do, Phuc
  • Assaf, Roy
  • Scarf, Phil
  • Iung, Benoit

Abstract

This paper develops a model of a condition-based maintenance policy for a two-component system with both stochastic and economic dependencies. The stochastic dependency is such that the degradation rate of each component depends not only on its own state (degradation level) but also on the state of the other component. The economic dependency is such that combining multiple maintenance activities has lower cost than performing maintenance on components separately. To select a component or components to be preventively maintained, adaptive preventive maintenance and opportunistic maintenance rules are proposed. A cost model is developed to find the optimal values of decision variables. A case study of a gearbox system demonstrates the utility of the proposed model.

Suggested Citation

  • Do, Phuc & Assaf, Roy & Scarf, Phil & Iung, Benoit, 2019. "Modelling and application of condition-based maintenance for a two-component system with stochastic and economic dependencies," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 86-97.
    • Handle: RePEc:eee:reensy:v:182:y:2019:i:c:p:86-97
    DOI: 10.1016/j.ress.2018.10.007
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    References listed on IDEAS

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    1. Robin P. Nicolai & Rommert Dekker, 2008. "Optimal Maintenance of Multi-component Systems: A Review," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 11, pages 263-286, Springer.
    2. Zio, Enrico & Peloni, Giovanni, 2011. "Particle filtering prognostic estimation of the remaining useful life of nonlinear components," Reliability Engineering and System Safety, Elsevier, vol. 96(3), pages 403-409.
    3. Linkan Bian & Nagi Gebraeel, 2014. "Stochastic modeling and real-time prognostics for multi-component systems with degradation rate interactions," IISE Transactions, Taylor & Francis Journals, vol. 46(5), pages 470-482.
    4. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    5. Philip A. Scarf & Mohammed Deara, 2003. "Block replacement policies for a two‐component system with failure dependence," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 70-87, February.
    6. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
    7. Wildeman, R. E. & Dekker, R. & Smit, A. C. J. M., 1997. "A dynamic policy for grouping maintenance activities," European Journal of Operational Research, Elsevier, vol. 99(3), pages 530-551, June.
    8. Linkan Bian & Nagi Gebraeel, 2014. "Stochastic framework for partially degradation systems with continuous component degradation‐rate‐interactions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(4), pages 286-303, June.
    9. Do, Phuc & Voisin, Alexandre & Levrat, Eric & Iung, Benoit, 2015. "A proactive condition-based maintenance strategy with both perfect and imperfect maintenance actions," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 22-32.
    10. Do, Phuc & Vu, Hai Canh & Barros, Anne & Bérenguer, Christophe, 2015. "Maintenance grouping for multi-component systems with availability constraints and limited maintenance teams," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 56-67.
    11. Vu, Hai Canh & Do, Phuc & Barros, Anne & Bérenguer, Christophe, 2014. "Maintenance grouping strategy for multi-component systems with dynamic contexts," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 233-249.
    12. Wu, Shaomin & Scarf, Philip, 2017. "Two new stochastic models of the failure process of a series system," European Journal of Operational Research, Elsevier, vol. 257(3), pages 763-772.
    13. Li, Heping & Deloux, Estelle & Dieulle, Laurence, 2016. "A condition-based maintenance policy for multi-component systems with Lévy copulas dependence," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 44-55.
    14. Do Van, Phuc & Barros, Anne & Bérenguer, Christophe & Bouvard, Keomany & Brissaud, Florent, 2013. "Dynamic grouping maintenance with time limited opportunities," Reliability Engineering and System Safety, Elsevier, vol. 120(C), pages 51-59.
    15. Barbera, Fran & Schneider, Helmut & Watson, Ed, 1999. "A condition based maintenance model for a two-unit series system," European Journal of Operational Research, Elsevier, vol. 116(2), pages 281-290, July.
    16. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
    17. Liu, Liping & Yu, Miaomiao & Ma, Yizhong & Tu, Yiliu, 2013. "Economic and economic-statistical designs of an X¯ control chart for two-unit series systems with condition-based maintenance," European Journal of Operational Research, Elsevier, vol. 226(3), pages 491-499.
    18. van der Duyn Schouten, F. A. & Vanneste, S. G., 1990. "Analysis and computation of (n, N)-strategies for maintenance of a two-component system," European Journal of Operational Research, Elsevier, vol. 48(2), pages 260-274, September.
    19. Olde Keizer, Minou C.A. & Flapper, Simme Douwe P. & Teunter, Ruud H., 2017. "Condition-based maintenance policies for systems with multiple dependent components: A review," European Journal of Operational Research, Elsevier, vol. 261(2), pages 405-420.
    20. Rasmekomen, Nipat & Parlikad, Ajith Kumar, 2016. "Condition-based maintenance of multi-component systems with degradation state-rate interactions," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 1-10.
    21. Nguyen, Kim-Anh & Do, Phuc & Grall, Antoine, 2015. "Multi-level predictive maintenance for multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 83-94.
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