IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v222y2012i3p474-483.html
   My bibliography  Save this article

Joint optimization of level of repair analysis and spare parts stocks

Author

Listed:
  • Basten, R.J.I.
  • van der Heijden, M.C.
  • Schutten, J.M.J.

Abstract

In the field of after sales service logistics for capital goods, generally, METRIC type methods are used to decide where to stock spare parts in a multi-echelon repair network such that a target availability of the capital goods is achieved. These methods generate a trade-off curve of spares investment costs versus backorders. Backorders of spare parts lead to unavailability of the capital goods. Inputs in the spare parts stocking problem are decisions on (1) which components to repair upon failure and which to discard, and (2) at which locations in the repair network to perform the repairs and discards. The level of repair analysis (LORA) can be used to make such decisions in conjunction with the decisions (3) at which locations to deploy resources, such as test equipment that are required to repair, discard, or move components. Since these decisions significantly impact the spare parts investment costs, we propose to solve the LORA and spare parts stocking problems jointly. We design an algorithm that finds efficient solutions. In order for the algorithm to be exact and because of its computational complexity, we restrict ourselves to two-echelon, single-indenture problems. In a computational experiment, we show that solving the joint problem is worthwhile, since we achieve a cost reduction of over 43% at maximum (5.1% on average) compared with using a sequential approach of first solving a LORA and then the spare parts stocking problem.

Suggested Citation

  • Basten, R.J.I. & van der Heijden, M.C. & Schutten, J.M.J., 2012. "Joint optimization of level of repair analysis and spare parts stocks," European Journal of Operational Research, Elsevier, vol. 222(3), pages 474-483.
  • Handle: RePEc:eee:ejores:v:222:y:2012:i:3:p:474-483
    DOI: 10.1016/j.ejor.2012.05.045
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712004341
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ejor.2012.05.045?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. R. M. Simon, 1971. "Stationary Properties of a Two-Echelon Inventory Model for Low Demand Items," Operations Research, INFORMS, vol. 19(3), pages 761-773, June.
    2. Alfredsson, Patrik, 1997. "Optimization of multi-echelon repairable item inventory systems with simultaneous location of repair facilities," European Journal of Operational Research, Elsevier, vol. 99(3), pages 584-595, June.
    3. Basten, R.J.I. & van der Heijden, M.C. & Schutten, J.M.J., 2011. "Practical extensions to a minimum cost flow model for level of repair analysis," European Journal of Operational Research, Elsevier, vol. 211(2), pages 333-342, June.
    4. Stephen C. Graves, 1985. "A Multi-Echelon Inventory Model for a Repairable Item with One-for-One Replenishment," Management Science, INFORMS, vol. 31(10), pages 1247-1256, October.
    5. Barros, Lilian & Riley, Michael, 2001. "A combinatorial approach to level of repair analysis," European Journal of Operational Research, Elsevier, vol. 129(2), pages 242-251, March.
    6. Basten, R.J.I. & van der Heijden, M.C. & Schutten, J.M.J., 2011. "A minimum cost flow model for level of repair analysis," International Journal of Production Economics, Elsevier, vol. 133(1), pages 233-242, September.
    7. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    8. R. Basten & J. Schutten & M. Heijden, 2009. "An efficient model formulation for level of repair analysis," Annals of Operations Research, Springer, vol. 172(1), pages 119-142, November.
    9. John A. Muckstadt, 1973. "A Model for a Multi-Item, Multi-Echelon, Multi-Indenture Inventory System," Management Science, INFORMS, vol. 20(4-Part-I), pages 472-481, December.
    10. Craig C. Sherbrooke, 1986. "VARI-METRIC : Improved Approximations for Multi-Indenture, Multi-Echelon Availability Models," Operations Research, INFORMS, vol. 34(2), pages 311-319, April.
    11. Brick, Eduardo Siqueira & Uchoa, Eduardo, 2009. "A facility location and installation of resources model for level of repair analysis," European Journal of Operational Research, Elsevier, vol. 192(2), pages 479-486, January.
    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. Palhazi Cuervo, Daniel & Kessels, Roselinde & Goos, Peter & Sörensen, Kenneth, 2016. "An integrated algorithm for the optimal design of stated choice experiments with partial profiles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 648-669.
    2. Dreyfuss, Michael & Giat, Yahel, 2017. "Optimal spares allocation to an exchangeable-item repair system with tolerable wait," European Journal of Operational Research, Elsevier, vol. 261(2), pages 584-594.
    3. Yazdekhasti, Amin & sharifzadeh, Shila & Ma, Junfeng, 2022. "A two-echelon two-indenture warranty distribution network development and optimization under batch-ordering inventory policy," International Journal of Production Economics, Elsevier, vol. 249(C).
    4. R. Basten & M. Heijden & J. Schutten & E. Kutanoglu, 2015. "An approximate approach for the joint problem of level of repair analysis and spare parts stocking," Annals of Operations Research, Springer, vol. 224(1), pages 121-145, January.
    5. Qinming Liu & Ming Dong & Wenyuan Lv & Chunming Ye, 2019. "Manufacturing system maintenance based on dynamic programming model with prognostics information," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 1155-1173, March.
    6. Ghaddar, Bissan & Sakr, Nizar & Asiedu, Yaw, 2016. "Spare parts stocking analysis using genetic programming," European Journal of Operational Research, Elsevier, vol. 252(1), pages 136-144.
    7. Parada Puig, J.E. & Basten, R.J.I., 2015. "Defining line replaceable units," European Journal of Operational Research, Elsevier, vol. 247(1), pages 310-320.
    8. Izack Cohen & Morris A. Cohen & Elad Landau, 2017. "On sourcing and stocking policies in a two-echelon, multiple location, repairable parts supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(6), pages 617-629, June.
    9. Amin Yazdekhasti & Yahia Zare Mehrjardi, 2020. "Two-echelon three-indenture warranty distribution network: a hybrid branch and bound, Monte-Carlo approach," Operational Research, Springer, vol. 20(2), pages 1113-1158, June.
    10. Regattieri, A. & Giazzi, A. & Gamberi, M. & Gamberini, R., 2015. "An innovative method to optimize the maintenance policies in an aircraft: General framework and case study," Journal of Air Transport Management, Elsevier, vol. 44, pages 8-20.
    11. Yuanju Qu & Zengtao Hou, 2022. "Degradation principle of machines influenced by maintenance," Journal of Intelligent Manufacturing, Springer, vol. 33(5), pages 1521-1530, June.

    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. R. Basten & M. Heijden & J. Schutten & E. Kutanoglu, 2015. "An approximate approach for the joint problem of level of repair analysis and spare parts stocking," Annals of Operations Research, Springer, vol. 224(1), pages 121-145, January.
    2. Izack Cohen & Morris A. Cohen & Elad Landau, 2017. "On sourcing and stocking policies in a two-echelon, multiple location, repairable parts supply chain," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(6), pages 617-629, June.
    3. Patriarca, Riccardo & Costantino, Francesco & Di Gravio, Giulio & Tronci, Massimo, 2016. "Inventory optimization for a customer airline in a Performance Based Contract," Journal of Air Transport Management, Elsevier, vol. 57(C), pages 206-216.
    4. Ghaddar, Bissan & Sakr, Nizar & Asiedu, Yaw, 2016. "Spare parts stocking analysis using genetic programming," European Journal of Operational Research, Elsevier, vol. 252(1), pages 136-144.
    5. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    6. Nowicki, David R. & Randall, Wesley S. & Ramirez-Marquez, Jose Emmanuel, 2012. "Improving the computational efficiency of metric-based spares algorithms," European Journal of Operational Research, Elsevier, vol. 219(2), pages 324-334.
    7. Guide, V. Daniel R. & Srivastava, Rajesh, 1997. "Repairable inventory theory: Models and applications," European Journal of Operational Research, Elsevier, vol. 102(1), pages 1-20, October.
    8. Yazdekhasti, Amin & sharifzadeh, Shila & Ma, Junfeng, 2022. "A two-echelon two-indenture warranty distribution network development and optimization under batch-ordering inventory policy," International Journal of Production Economics, Elsevier, vol. 249(C).
    9. Rezaei Somarin, Aghil & Chen, Songlin & Asian, Sobhan & Wang, David Z.W., 2017. "A heuristic stock allocation rule for repairable service parts," International Journal of Production Economics, Elsevier, vol. 184(C), pages 131-140.
    10. Chew, E. P. & Johnson, L. A., 1996. "Service level approximations for multiechelon inventory systems," European Journal of Operational Research, Elsevier, vol. 91(3), pages 440-455, June.
    11. Sheikh-Zadeh, Alireza & Rossetti, Manuel D. & Scott, Marc A., 2021. "Performance-based inventory classification methods for large-Scale multi-echelon replenishment systems," Omega, Elsevier, vol. 101(C).
    12. Fritzsche, R., 2012. "Cost adjustment for single item pooling models using a dynamic failure rate: A calculation for the aircraft industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1065-1079.
    13. García-Benito, Juan Carlos & Martín-Peña, María-Luz, 2021. "A redistribution model with minimum backorders of spare parts: A proposal for the defence sector," European Journal of Operational Research, Elsevier, vol. 291(1), pages 178-193.
    14. Basten, R.J.I. & van der Heijden, M.C. & Schutten, J.M.J., 2011. "A minimum cost flow model for level of repair analysis," International Journal of Production Economics, Elsevier, vol. 133(1), pages 233-242, September.
    15. Kathryn E. Caggiano & John A. Muckstadt & James A. Rappold, 2006. "Integrated Real-Time Capacity and Inventory Allocation for Reparable Service Parts in a Two-Echelon Supply System," Manufacturing & Service Operations Management, INFORMS, vol. 8(3), pages 292-319, August.
    16. Graves, Stephen C., 1989. "A multi-echelon inventory model with fixed reorder intervals," Working papers 3045-89., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    17. David Simchi-Levi & Yao Zhao, 2005. "Safety Stock Positioning in Supply Chains with Stochastic Lead Times," Manufacturing & Service Operations Management, INFORMS, vol. 7(4), pages 295-318, December.
    18. Basten, R.J.I. & van der Heijden, M.C. & Schutten, J.M.J., 2011. "Practical extensions to a minimum cost flow model for level of repair analysis," European Journal of Operational Research, Elsevier, vol. 211(2), pages 333-342, June.
    19. Olof Stenius & Ayşe Gönül Karaarslan & Johan Marklund & A. G. de Kok, 2016. "Exact Analysis of Divergent Inventory Systems with Time-Based Shipment Consolidation and Compound Poisson Demand," Operations Research, INFORMS, vol. 64(4), pages 906-921, August.
    20. Huaxiao Shen & Tian Tian & Han Zhu, 2019. "A Two-Echelon Inventory System with a Minimum Order Quantity Requirement," Sustainability, MDPI, vol. 11(18), pages 1-22, September.

    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:ejores:v:222:y:2012:i:3:p:474-483. 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: http://www.elsevier.com/locate/eor .

    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.