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Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems

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  • de Smidt-Destombes, Karin S.
  • van der Heijden, Matthieu C.
  • van Harten, Aart

Abstract

To achieve a high system availability at minimal costs, relevant decisions include the choice of preventive maintenance frequency, spare part inventory levels and spare part repair capacity. We develop heuristics for the joint optimisation of these variables for (a) a single k-out-of-N system under condition-based maintenance and (b) an installed base of multiple identical k-out-of-N systems under block replacement. We show that a straightforward extension of the METRIC method for spare part inventory optimisation yields inferior results, because both the availability and costs are not necessarily monotonous functions of the decision variables. We develop an adjusted marginal analysis and show that it performs considerably better in numerical experiments.

Suggested Citation

  • de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2009. "Joint optimisation of spare part inventory, maintenance frequency and repair capacity for k-out-of-N systems," International Journal of Production Economics, Elsevier, vol. 118(1), pages 260-268, March.
    • Handle: RePEc:eee:proeco:v:118:y:2009:i:1:p:260-268
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    References listed on IDEAS

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    1. de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2006. "On the interaction between maintenance, spare part inventories and repair capacity for a k-out-of-N system with wear-out," European Journal of Operational Research, Elsevier, vol. 174(1), pages 182-200, October.
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    Cited by:

    1. Jin, Tongdan & Tian, Zhigang & Xie, Min, 2015. "A game-theoretical approach for optimizing maintenance, spares and service capacity in performance contracting," International Journal of Production Economics, Elsevier, vol. 161(C), pages 31-43.
    2. van Jaarsveld, Willem & Dekker, Rommert, 2011. "Spare parts stock control for redundant systems using reliability centered maintenance data," Reliability Engineering and System Safety, Elsevier, vol. 96(11), pages 1576-1586.
    3. 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.
    4. 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.
    5. 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.
    6. Rezapour, Shabnam & Allen, Janet K. & Mistree, Farrokh, 2016. "Reliable flow in forward and after-sales supply chains considering propagated uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 409-436.
    7. Olde Keizer, Minou C.A. & Teunter, Ruud H. & Veldman, Jasper, 2016. "Clustering condition-based maintenance for systems with redundancy and economic dependencies," European Journal of Operational Research, Elsevier, vol. 251(2), pages 531-540.
    8. Farhadi, Mohammad & Shahrokhi, Mahmoud & Rahmati, Seyed Habib A, 2022. "Developing a supplier selection model based on Markov chain and probability tree for a k-out-of-N system with different quality of spare parts," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    9. van Jaarsveld, W.L. & Dekker, R., 2010. "Integrating Reliability Centered Maintenance and Spare Parts Stock Control," Econometric Institute Research Papers EI 2010-16, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    10. Hu, Qiwei & Boylan, John E. & Chen, Huijing & Labib, Ashraf, 2018. "OR in spare parts management: A review," European Journal of Operational Research, Elsevier, vol. 266(2), pages 395-414.
    11. Zheng, Meimei & Lin, Jie & Xia, Tangbin & Liu, Yu & Pan, Ershun, 2023. "Joint condition-based maintenance and spare provisioning policy for a K-out-of-N system with failures during inspection intervals," European Journal of Operational Research, Elsevier, vol. 308(3), pages 1220-1232.
    12. 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.
    13. 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.
    14. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan, 2021. "Joint optimization of condition-based and age-based replacement policy and inventory policy for a two-unit series system," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    15. de Pater, Ingeborg & Mitici, Mihaela, 2021. "Predictive maintenance for multi-component systems of repairables with Remaining-Useful-Life prognostics and a limited stock of spare components," Reliability Engineering and System Safety, Elsevier, vol. 214(C).
    16. Zhu, Mixin & Zhou, Xiaojun, 2023. "Hierarchical-clustering-based joint optimization of spare part provision and maintenance scheduling for serial-parallel multi-station manufacturing systems," International Journal of Production Economics, Elsevier, vol. 264(C).
    17. Zahedi-Hosseini, Farhad & Scarf, Philip & Syntetos, Aris, 2017. "Joint optimisation of inspection maintenance and spare parts provisioning: a comparative study of inventory policies using simulation and survey data," Reliability Engineering and System Safety, Elsevier, vol. 168(C), pages 306-316.
    18. Ito, Kodo & Mizutani, Satoshi & Nakagawa, Toshio, 2020. "Optimal inspection models with minimal repair," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    19. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    20. Wang, Jun & Zhu, Xiaoyan, 2021. "Joint optimization of condition-based maintenance and inventory control for a k-out-of-n:F system of multi-state degrading components," European Journal of Operational Research, Elsevier, vol. 290(2), pages 514-529.
    21. Zhang, Qin & Liu, Yu & Xiahou, Tangfan & Huang, Hong-Zhong, 2023. "A heuristic maintenance scheduling framework for a military aircraft fleet under limited maintenance capacities," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    22. Safaei, Fatemeh & Ahmadi, Jafar & Taghipour, Sharareh, 2022. "A maintenance policy for a k-out-of-n system under enhancing the system’s operating time and safety constraints, and selling the second-hand components," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    23. Van Horenbeek, Adriaan & Buré, Jasmine & Cattrysse, Dirk & Pintelon, Liliane & Vansteenwegen, Pieter, 2013. "Joint maintenance and inventory optimization systems: A review," International Journal of Production Economics, Elsevier, vol. 143(2), pages 499-508.
    24. Zhang, Xiaohong & Liao, Haitao & Zeng, Jianchao & Shi, Guannan & Zhao, Bing, 2021. "Optimal Condition-based Opportunistic Maintenance and Spare Parts Provisioning for a Two-unit System using a State Space Partitioning Approach," Reliability Engineering and System Safety, Elsevier, vol. 209(C).

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