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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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    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. Zhaoqiang Wang & Changhua Hu & Wenbin Wang & Xiangyu Kong & Wei Zhang, 2015. "A prognostics-based spare part ordering and system replacement policy for a deteriorating system subjected to a random lead time," International Journal of Production Research, Taylor & Francis Journals, vol. 53(15), pages 4511-4527, August.
    3. 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.
    4. Godoy, David R. & Pascual, Rodrigo & Knights, Peter, 2013. "Critical spare parts ordering decisions using conditional reliability and stochastic lead time," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 199-206.
    5. 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.
    6. Bjarnason, Erik T.S. & Taghipour, Sharareh & Banjevic, Dragan, 2014. "Joint optimal inspection and inventory for a k-out-of-n system," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 203-215.
    7. Zhang, Enze & Chen, Qingwei, 2016. "Multi-objective reliability redundancy allocation in an interval environment using particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 83-92.
    8. 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.
    9. Costantino, Francesco & Di Gravio, Giulio & Tronci, Massimo, 2013. "Multi-echelon, multi-indenture spare parts inventory control subject to system availability and budget constraints," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 95-101.
    10. 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.
    11. Xie, Wei & Liao, Haitao & Jin, Tongdan, 2014. "Maximizing system availability through joint decision on component redundancy and spares inventory," European Journal of Operational Research, Elsevier, vol. 237(1), pages 164-176.
    12. Godoy, David R. & Pascual, Rodrigo & Knights, Peter, 2014. "A decision-making framework to integrate maintenance contract conditions with critical spares management," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 102-108.
    13. de Smidt-Destombes, Karin S. & van der Heijden, Matthieu C. & van Harten, Aart, 2007. "Availability of k-out-of-N systems under block replacement sharing limited spares and repair capacity," International Journal of Production Economics, Elsevier, vol. 107(2), pages 404-421, June.
    14. Patrik Alfredsson & Jos Verrijdt, 1999. "Modeling Emergency Supply Flexibility in a Two-Echelon Inventory System," Management Science, INFORMS, vol. 45(10), pages 1416-1431, October.
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    1. Kim, Heungseob, 2017. "Optimal reliability design of a system with k-out-of-n subsystems considering redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 572-582.
    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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