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Joint optimization of redundancy level and spare part inventories

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  • Sleptchenko, Andrei
  • van der Heijden, Matthieu

Abstract

We consider a “k-out-of-N†system with different standby modes. Each of the N components consists of multiple part types. Upon failure, a component can be repaired within a certain time by switching the failed part by a spare, if available. We develop both an exact and a fast approximate analysis to compute the system availability. Next, we jointly optimize the component redundancy level with the inventories of the various spare parts. We find that our approximations are very accurate and suitable for large systems. We apply our model to a case study at a public organization in Qatar, and find that we can improve the availability-to-cost ratio by reducing the redundancy level and increasing the spare part inventories. In general, high redundancy levels appear to be useful only when components are relatively cheap and part replacement times are high.

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  • Sleptchenko, Andrei & van der Heijden, Matthieu, 2016. "Joint optimization of redundancy level and spare part inventories," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 64-74.
    • Handle: RePEc:eee:reensy:v:153:y:2016:i:c:p:64-74
    DOI: 10.1016/j.ress.2016.04.006
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    References listed on IDEAS

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    2. Wang, Naichao & Li, Mingyuan & Xiao, Boping & Ma, Lin, 2019. "Availability analysis of a general time distribution system with the consideration of maintenance and spares," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    3. Turan, Hasan Hüseyin & Atmis, Mahir & Kosanoglu, Fuat & Elsawah, Sondoss & Ryan, Michael J., 2020. "A risk-averse simulation-based approach for a joint optimization of workforce capacity, spare part stocks and scheduling priorities in maintenance planning," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    4. N. Knofius & M. C. Heijden & A. Sleptchenko & W. H. M. Zijm, 2021. "Improving effectiveness of spare parts supply by additive manufacturing as dual sourcing option," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(1), pages 189-221, March.
    5. 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.
    6. Zhu, Sha & van Jaarsveld, Willem & Dekker, Rommert, 2022. "Critical project planning and spare parts inventory management in shutdown maintenance," Reliability Engineering and System Safety, Elsevier, vol. 219(C).

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