IDEAS home Printed from https://ideas.repec.org/a/sae/risrel/v229y2015i6p485-500.html
   My bibliography  Save this article

Bi-criteria maintenance policies for a system subject to competing wear and δ-shock failures

Author

Listed:
  • W Zhu
  • M Fouladirad
  • C Bérenguer

Abstract

We consider a deteriorating system subject to dependent competing failure modes, which fails either because its deterioration exceeds a predetermined failure threshold L (irreparable deterioration failure) or because the interval between two successive shocks is less than a threshold δ (repairable δ -shock failure). The system gradual deterioration is modelled by a Gamma process and the shocks occur following a Poisson process. The duration of a shock itself is negligible so it does not affect the system deterioration, while the δ -shock failure causes a non-negligible interruption to the production process. The threshold δ is dependent on the deterioration level. The deterioration state of the system can only be observed by inspection. The shock can be detected once it has occurred. In order to avoid the δ -shock failure caused by the shocks, a scheduled halt of the system is planned after a shock occurrence and two maintenance policies introducing the possibility of such a scheduled halt are proposed and their performances are studied. The effect and the benefit of introducing a scheduled halt of the system as a protective maintenance measure is evaluated by Pareto multi-objective optimization and Pareto front according to both cost and availability criteria.

Suggested Citation

  • W Zhu & M Fouladirad & C Bérenguer, 2015. "Bi-criteria maintenance policies for a system subject to competing wear and δ-shock failures," Journal of Risk and Reliability, , vol. 229(6), pages 485-500, December.
    • Handle: RePEc:sae:risrel:v:229:y:2015:i:6:p:485-500
    DOI: 10.1177/1748006X15584263
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1748006X15584263
    Download Restriction: no
    File URL: https://libkey.io/10.1177/1748006X15584263?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Nicolai, R.P. & Frenk, J.B.G. & Dekker, R., 2007. "Modelling and optimizing imperfect maintenance of coatings on steel structures," Econometric Institute Research Papers EI 2007-24, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. ten Wolde, Mike & Ghobbar, Adel A., 2013. "Optimizing inspection intervals—Reliability and availability in terms of a cost model: A case study on railway carriers," Reliability Engineering and System Safety, Elsevier, vol. 114(C), pages 137-147.
    3. Moghaddam, Kamran S., 2013. "Multi-objective preventive maintenance and replacement scheduling in a manufacturing system using goal programming," International Journal of Production Economics, Elsevier, vol. 146(2), pages 704-716.
    4. 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.
    5. Certa, Antonella & Galante, Giacomo & Lupo, Toni & Passannanti, Gianfranco, 2011. "Determination of Pareto frontier in multi-objective maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 861-867.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Che, Haiyang & Zeng, Shengkui & Guo, Jianbin & Wang, Yao, 2018. "Reliability modeling for dependent competing failure processes with mutually dependent degradation process and shock process," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 168-178.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. A Ponchet & M Fouladirad & A Grall, 2011. "Maintenance policy on a finite time span for a gradually deteriorating system with imperfect improvements," Journal of Risk and Reliability, , vol. 225(2), pages 105-116, June.
    2. Mitra Fouladirad & Antoine Grall, 2015. "Monitoring and condition-based maintenance with abrupt change in a system’s deterioration rate," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2183-2194, September.
    3. Ponchet, Amélie & Fouladirad, Mitra & Grall, Antoine, 2010. "Assessment of a maintenance model for a multi-deteriorating mode system," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1244-1254.
    4. Frenk, J.B.G. & Nicolai, R.P., 2007. "Approximating the Randomized Hitting Time Distribution of a Non-stationary Gamma Process," ERIM Report Series Research in Management ERS-2007-031-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    5. 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.
    6. Tinga, Tiedo, 2010. "Application of physical failure models to enable usage and load based maintenance," Reliability Engineering and System Safety, Elsevier, vol. 95(10), pages 1061-1075.
    7. Si, Xiao-Sheng & Wang, Wenbin & Hu, Chang-Hua & Zhou, Dong-Hua, 2011. "Remaining useful life estimation - A review on the statistical data driven approaches," European Journal of Operational Research, Elsevier, vol. 213(1), pages 1-14, August.
    8. Zhang, Mimi & Gaudoin, Olivier & Xie, Min, 2015. "Degradation-based maintenance decision using stochastic filtering for systems under imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 245(2), pages 531-541.
    9. Scott, James & Ho, William & Dey, Prasanta K. & Talluri, Srinivas, 2015. "A decision support system for supplier selection and order allocation in stochastic, multi-stakeholder and multi-criteria environments," International Journal of Production Economics, Elsevier, vol. 166(C), pages 226-237.
    10. Song, Kai & Shi, Jian & Yi, Xiaojian, 2020. "A time-discrete and zero-adjusted gamma process model with application to degradation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    11. Thomas Michael Welte & Iver Bakken Sperstad & Espen Høegh Sørum & Magne Lorentzen Kolstad, 2017. "Integration of Degradation Processes in a Strategic Offshore Wind Farm O&M Simulation Model," Energies, MDPI, vol. 10(7), pages 1-18, July.
    12. 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).
    13. Phuc Do & Christophe Bérenguer, 2022. "Residual life-based importance measures for predictive maintenance decision-making," Journal of Risk and Reliability, , vol. 236(1), pages 98-113, February.
    14. Wang, Xiaolin & Liu, Bin & Zhao, Xiujie, 2021. "A performance-based warranty for products subject to competing hard and soft failures," International Journal of Production Economics, Elsevier, vol. 233(C).
    15. Nicolai, R.P. & Frenk, J.B.G. & Dekker, R., 2007. "Modelling and Optimizing Imperfect Maintenance of Coatings on Steel Structures," ERIM Report Series Research in Management ERS-2007-043-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    16. Lin Wang & Zhiqiang Lu & Yifei Ren, 2019. "A rolling horizon approach for production planning and condition-based maintenance under uncertain demand," Journal of Risk and Reliability, , vol. 233(6), pages 1014-1028, December.
    17. Liang, Qingzhu & Yang, Yinghao & Peng, Changhong, 2023. "A reliability model for systems subject to mutually dependent degradation processes and random shocks under dynamic environments," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    18. Shen, Jingyuan & Cui, Lirong & Ma, Yizhong, 2019. "Availability and optimal maintenance policy for systems degrading in dynamic environments," European Journal of Operational Research, Elsevier, vol. 276(1), pages 133-143.
    19. Safaei, Fatemeh & Taghipour, Sharareh, 2024. "Integrated degradation-based burn-in and maintenance model for heterogeneous and highly reliable items," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    20. Maxim Finkelstein & Ji Hwan Cha, 2022. "Reducing degradation and age of items in imperfect repair modeling," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(4), pages 1058-1081, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:risrel:v:229:y:2015:i:6:p:485-500. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.