IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v207y2021ics0951832020308814.html
   My bibliography  Save this article

A new analytical method to optimise the preventive maintenance interval by using a semi-Markov process and z-transform with an application to marine diesel engines

Author

Listed:
  • Sánchez-Herguedas, Antonio
  • Mena-Nieto, Angel
  • Rodrigo-Muñoz, Francisco

Abstract

This article presents a novel method based on a semi-Markov process approach and the z transform to calculate the optimal time interval until the preventive maintenance intervention. For this, a mathematical expression that has its origin in the evolution of the maintenance cost of a patrol boat's propulsion engine is developed, represented mathematically by a system of difference equations. This method can be applied to all assets that are subject to wear, which are very common on industrial facilities. This mathematical expression for the preventive interval is a powerful tool for maintenance managers because this saves him from resorting to complicated mathematical methods. In addition to the proposed mathematical formula, the manager needs to know the assets’ failure history data and the costs of maintenance interventions. These data are usually available, making their practical application fast and easy to develop. Due to the method being analytical, it could also serve as an excellent decision support tool. It can be applied to the desired time horizon guaranteeing the obtention of the optimal interval. In many other cases, applying the model can simplify the process of obtaining the asset maintenance programme, from an economic perspective.

Suggested Citation

  • Sánchez-Herguedas, Antonio & Mena-Nieto, Angel & Rodrigo-Muñoz, Francisco, 2021. "A new analytical method to optimise the preventive maintenance interval by using a semi-Markov process and z-transform with an application to marine diesel engines," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    • Handle: RePEc:eee:reensy:v:207:y:2021:i:c:s0951832020308814
    DOI: 10.1016/j.ress.2020.107394
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832020308814
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2020.107394?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Wenbin Wang, 2008. "Delay Time Modelling," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 14, pages 345-370, Springer.
    2. Lust, T. & Roux, O. & Riane, F., 2009. "Exact and heuristic methods for the selective maintenance problem," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1166-1177, September.
    3. 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.
    4. Laggoune, Radouane & Chateauneuf, Alaa & Aissani, Djamil, 2010. "Impact of few failure data on the opportunistic replacement policy for multi-component systems," Reliability Engineering and System Safety, Elsevier, vol. 95(2), pages 108-119.
    5. Khairy A. H. Kobbacy & D. N. Prabhakar Murthy, 2008. "Complex System Maintenance Handbook," Springer Series in Reliability Engineering, Springer, number 978-1-84800-011-7, January.
    6. Zhong, Chongquan & Jin, Haibo, 2014. "A novel optimal preventive maintenance policy for a cold standby system based on semi-Markov theory," European Journal of Operational Research, Elsevier, vol. 232(2), pages 405-411.
    7. Zio, E., 2009. "Reliability engineering: Old problems and new challenges," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 125-141.
    8. Huang, Chun-Chen & Yuan, John, 2010. "A two-stage preventive maintenance policy for a multi-state deterioration system," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1255-1260.
    9. Marvin Rausand & Jørn Vatn, 2008. "Reliability Centred Maintenance," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 4, pages 79-108, Springer.
    10. Zhang, Xueqing & Gao, Hui, 2012. "Road maintenance optimization through a discrete-time semi-Markov decision process," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 110-119.
    11. Nakagawa, T. & Mizutani, S., 2009. "A summary of maintenance policies for a finite interval," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 89-96.
    12. Coria, V.H. & Maximov, S. & Rivas-Dávalos, F. & Melchor, C.L. & Guardado, J.L., 2015. "Analytical method for optimization of maintenance policy based on available system failure data," Reliability Engineering and System Safety, Elsevier, vol. 135(C), pages 55-63.
    13. Ruiying Li & Xufeng Zhang, 2020. "Preventive Maintenance Interval Optimization for Continuous Multistate Systems," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-10, January.
    14. David F. Percy, 2008. "Preventive Maintenance Models for Complex Systems," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 8, pages 179-207, Springer.
    15. Amir Baklouti & Lahcen Mifdal & Sofiene Dellagi & Anis Chelbi, 2020. "An Optimal Preventive Maintenance Policy for a Solar Photovoltaic System," Sustainability, MDPI, vol. 12(10), pages 1-13, May.
    16. Jung, Ki Mun & Park, Minjae & Park, Dong Ho, 2010. "System maintenance cost dependent on life cycle under renewing warranty policy," Reliability Engineering and System Safety, Elsevier, vol. 95(7), pages 816-821.
    17. Lin, Zu-Liang & Huang, Yeu-Shiang & Fang, Chih-Chiang, 2015. "Non-periodic preventive maintenance with reliability thresholds for complex repairable systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 145-156.
    18. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    Full references (including those not matched with items on IDEAS)

    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. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    2. Jyrki Savolainen & Michele Urbani, 2021. "Maintenance optimization for a multi-unit system with digital twin simulation," Journal of Intelligent Manufacturing, Springer, vol. 32(7), pages 1953-1973, October.
    3. Seyedhosseini, Seyed Mohammad & Moakedi, Hamid & Shahanaghi, Kamran, 2018. "Imperfect inspection optimization for a two-component system subject to hidden and two-stage revealed failures over a finite time horizon," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 141-156.
    4. Urbani, Michele & Brunelli, Matteo & Punkka, Antti, 2023. "An approach for bi-objective maintenance scheduling on a networked system with limited resources," European Journal of Operational Research, Elsevier, vol. 305(1), pages 101-113.
    5. Dursun, İpek & Akçay, Alp & van Houtum, Geert-Jan, 2022. "Age-based maintenance under population heterogeneity: Optimal exploration and exploitation," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1007-1020.
    6. Azizi, Fariba & Salari, Nooshin, 2023. "A novel condition-based maintenance framework for parallel manufacturing systems based on bivariate birth/birth–death processes," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    7. Wang, Wenbin & Banjevic, Dragan & Pecht, Michael, 2010. "A multi-component and multi-failure mode inspection model based on the delay time concept," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 912-920.
    8. Dilaver, Halit Metehan & Akçay, Alp & van Houtum, Geert-Jan, 2023. "Integrated planning of asset-use and dry-docking for a fleet of maritime assets," International Journal of Production Economics, Elsevier, vol. 256(C).
    9. Wang, Wenbin & Syntetos, Aris A., 2011. "Spare parts demand: Linking forecasting to equipment maintenance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1194-1209.
    10. Ruifeng Yang & Jianshe Kang, 2017. "Joint optimization for inspection and replacement model based on a three-stage failure process," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 118-128, January.
    11. Wang, Wenbin, 2011. "A joint spare part and maintenance inspection optimisation model using the Delay-Time concept," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1535-1541.
    12. Wang, Wenbin, 2011. "An inspection model based on a three-stage failure process," Reliability Engineering and System Safety, Elsevier, vol. 96(7), pages 838-848.
    13. Goossens, Adriaan J.M. & Basten, Rob J.I., 2015. "Exploring maintenance policy selection using the Analytic Hierarchy Process; An application for naval ships," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 31-41.
    14. Wang, Wenbin, 2012. "An overview of the recent advances in delay-time-based maintenance modelling," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 165-178.
    15. Hashemi, M. & Asadi, M. & Tavangar, M., 2022. "Optimal maintenance strategies for coherent systems: A warranty dependent approach," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    16. de Jonge, Bram & Dijkstra, Arjan S. & Romeijnders, Ward, 2015. "Cost benefits of postponing time-based maintenance under lifetime distribution uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 15-21.
    17. Wang, Wenbin, 2012. "A stochastic model for joint spare parts inventory and planned maintenance optimisation," European Journal of Operational Research, Elsevier, vol. 216(1), pages 127-139.
    18. Berrade, M.D. & Scarf, P.A. & Cavalcante, C.A.V., 2017. "A study of postponed replacement in a delay time model," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 70-79.
    19. Zhang, Xiaohong & Zeng, Jianchao, 2017. "Joint optimization of condition-based opportunistic maintenance and spare parts provisioning policy in multiunit systems," European Journal of Operational Research, Elsevier, vol. 262(2), pages 479-498.
    20. Barlow, E. & Bedford, T. & Revie, M. & Tan, J. & Walls, L., 2021. "A performance-centred approach to optimising maintenance of complex systems," European Journal of Operational Research, Elsevier, vol. 292(2), pages 579-595.

    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:eee:reensy:v:207:y:2021:i:c:s0951832020308814. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    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.