IDEAS home Printed from https://ideas.repec.org/a/inm/ormsom/v23y2021i6p1431-1448.html

Expediting in Two-Echelon Spare Parts Inventory Systems

Author

Listed:
  • Melvin Drent

    (Luxembourg Centre for Logistics and Supply Chain Management, University of Luxembourg, L-1359 Luxembourg City, Luxembourg)

  • Joachim Arts

    (Luxembourg Centre for Logistics and Supply Chain Management, University of Luxembourg, L-1359 Luxembourg City, Luxembourg)

Abstract

Problem definition : We consider dual sourcing in a distribution network for spare parts consisting of one central warehouse and multiple local warehouses. Each warehouse keeps multiple types of repairable parts to maintain several types of capital goods. The repair shop at the central warehouse has two repair options for each repairable part: a regular repair option and an expedited repair option. Irrespective of the repair option, each repairable part uses a certain resource for its repair. In the design of these inventory systems, companies need to decide on stocking levels and expedite thresholds such that total stock investments are minimized while satisfying asset availability and expediting constraints. Academic/practical relevance : Although most companies have the possibility to expedite the repair of parts in short supply, no contributions have been made that incorporate such dynamic expediting policies in repairable investment decisions. Anticipating expediting decisions that will be made later leads to substantial reductions in repairable investments. Methodology : We use queueing theory to determine the performance of the central warehouse and subsequently find the performance of all local warehouses using binomial disaggregation. For the optimization problem, we develop a greedy heuristic and a decomposition and column generation based algorithm. Results : Both solution approaches perform very well with average optimality gaps of 2.38 and 0.27%, respectively, across a large test bed of industrial size. The possibility to expedite the repair of failed parts is effective in reducing stock investments with average reductions of 7.94% and even reductions up to 19.61% relative to the state of the art. Managerial implications : Based on a case study at Netherlands Railways, we show how managers can significantly reduce the investment in repairable spare parts when dynamic repair policies are leveraged to prioritize repair of parts whose inventory is critically low.

Suggested Citation

  • Melvin Drent & Joachim Arts, 2021. "Expediting in Two-Echelon Spare Parts Inventory Systems," Manufacturing & Service Operations Management, INFORMS, vol. 23(6), pages 1431-1448, November.
  • Handle: RePEc:inm:ormsom:v:23:y:2021:i:6:p:1431-1448
    DOI: 10.1287/msom.2020.0888
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/msom.2020.0888
    Download Restriction: no

    File URL: https://libkey.io/10.1287/msom.2020.0888?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
    ---><---

    References listed on IDEAS

    as
    1. Elisa Alvarez & Matthieu Heijden & W. Zijm, 2015. "Service differentiation in spare parts supply through dedicated stocks," Annals of Operations Research, Springer, vol. 231(1), pages 283-303, August.
    2. Arts, Joachim, 2017. "A multi-item approach to repairable stocking and expediting in a fluctuating demand environment," European Journal of Operational Research, Elsevier, vol. 256(1), pages 102-115.
    3. Craig C. Sherbrooke, 1968. "Metric: A Multi-Echelon Technique for Recoverable Item Control," Operations Research, INFORMS, vol. 16(1), pages 122-141, February.
    4. Alvarez, E.M. & van der Heijden, M.C. & Zijm, W.H.M., 2013. "The selective use of emergency shipments for service-contract differentiation," International Journal of Production Economics, Elsevier, vol. 143(2), pages 518-526.
    5. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    6. 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.
    7. Ying Rong & Zümbül Atan & Lawrence V. Snyder, 2017. "Heuristics for Base-Stock Levels in Multi-Echelon Distribution Networks," Production and Operations Management, Production and Operations Management Society, vol. 26(9), pages 1760-1777, September.
    8. Tiemessen, H.G.H. & van Houtum, G.J., 2013. "Reducing costs of repairable inventory supply systems via dynamic scheduling," International Journal of Production Economics, Elsevier, vol. 143(2), pages 478-488.
    9. 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.
    10. Christian Howard & Johan Marklund & Tarkan Tan & Ingrid Reijnen, 2015. "Inventory Control in a Spare Parts Distribution System with Emergency Stocks and Pipeline Information," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 142-156, May.
    11. 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.
    12. Kamran Moinzadeh & Prabhu K. Aggarwal, 1997. "An Information Based Multiechelon Inventory System with Emergency Orders," Operations Research, INFORMS, vol. 45(5), pages 694-701, October.
    13. Jing-Sheng Song & Paul Zipkin, 2009. "Inventories with Multiple Supply Sources and Networks of Queues with Overflow Bypasses," Management Science, INFORMS, vol. 55(3), pages 362-372, March.
    14. Kranenburg, A.A. & van Houtum, G.J., 2009. "A new partial pooling structure for spare parts networks," European Journal of Operational Research, Elsevier, vol. 199(3), pages 908-921, December.
    15. I. J. B. F. Adan & A. Sleptchenko & G. J. Van Houtum, 2009. "Reducing Costs Of Spare Parts Supply Systems Via Static Priorities," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 559-585.
    16. Jiankun Sun & Jan A. Van Mieghem, 2019. "Robust Dual Sourcing Inventory Management: Optimality of Capped Dual Index Policies and Smoothing," Manufacturing & Service Operations Management, INFORMS, vol. 21(4), pages 912-931, October.
    17. Anshul Sheopuri & Ganesh Janakiraman & Sridhar Seshadri, 2010. "New Policies for the Stochastic Inventory Control Problem with Two Supply Sources," Operations Research, INFORMS, vol. 58(3), pages 734-745, June.
    18. Marco E. Lübbecke & Jacques Desrosiers, 2005. "Selected Topics in Column Generation," Operations Research, INFORMS, vol. 53(6), pages 1007-1023, December.
    19. Kamran Moinzadeh & Charles P. Schmidt, 1991. "An (S − 1, S) Inventory System with Emergency Orders," Operations Research, INFORMS, vol. 39(2), pages 308-321, April.
    20. Shimon Bitton & Izack Cohen & Morris Cohen, 2019. "Joint repair sourcing and stocking policies for repairables using Erlang-A and Erlang-B queueing models," IISE Transactions, Taylor & Francis Journals, vol. 51(10), pages 1151-1166, October.
    21. Joachim Arts & Rob Basten & Geert-Jan Van Houtum, 2016. "Repairable Stocking and Expediting in a Fluctuating Demand Environment: Optimal Policy and Heuristics," Operations Research, INFORMS, vol. 64(6), pages 1285-1301, December.
    22. David F. Pyke, 1990. "Priority repair and dispatch policies for reparable‐item logistics systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(1), pages 1-30, February.
    23. Hau L. Lee, 1987. "A Multi-Echelon Inventory Model for Repairable Items with Emergency Lateral Transshipments," Management Science, INFORMS, vol. 33(10), pages 1302-1316, October.
    24. 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.
    25. Qi Feng & Suresh P. Sethi & Houmin Yan & Hanqin Zhang, 2006. "Are Base-Stock Policies Optimal in Inventory Problems with Multiple Delivery Modes?," Operations Research, INFORMS, vol. 54(4), pages 801-807, August.
    26. Topan, Engin & Bayındır, Z. Pelin & Tan, Tarkan, 2017. "Heuristics for multi-item two-echelon spare parts inventory control subject to aggregate and individual service measures," European Journal of Operational Research, Elsevier, vol. 256(1), pages 126-138.
    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. Kouki, Chaaben & Drent, Melvin & Babai, M. Zied & Drent, Collin, 2025. "Dedicated maintenance and repair shop control for spare parts networks," Other publications TiSEM 8609700c-5ae3-4e17-b2f8-f, Tilburg University, School of Economics and Management.
    2. Haodong Feng & Man Feng & Qianqian Wang & Qingwei Jin & Xinru Hao & Yidong Zhang & Lei Cao, 2025. "Improving front distribution center fulfillment rates: a distributionally robust approach," Fuzzy Optimization and Decision Making, Springer, vol. 24(2), pages 343-366, June.
    3. Hamdan, Sadeque & Boulaksil, Youssef & Ghoudi, Kilani & Hamdouch, Younes, 2025. "Simplicity or flexibility? Dual sourcing in multi-echelon systems under disruption," Operations Research Perspectives, Elsevier, vol. 14(C).
    4. Xiong, Caiyuan & Yu, Yugang & Shen, Xiaobei, 2025. "Inventory management for maintenance service outsourcing: Should a manufacturer choose full outsourcing?," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 200(C).
    5. Erhun Özkan & Geert-Jan van Houtum, 2023. "Joint Inventory and Scheduling Control in a Repair Facility," Operations Research, INFORMS, vol. 71(5), pages 1498-1514, September.

    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. Arts, Joachim, 2017. "A multi-item approach to repairable stocking and expediting in a fluctuating demand environment," European Journal of Operational Research, Elsevier, vol. 256(1), pages 102-115.
    2. 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.
    3. Johansson, Lina & Olsson, Fredrik, 2018. "Age-based inventory control in a multi-echelon system with emergency replenishments," European Journal of Operational Research, Elsevier, vol. 265(3), pages 951-961.
    4. Svoboda, Josef & Minner, Stefan & Yao, Man, 2021. "Typology and literature review on multiple supplier inventory control models," European Journal of Operational Research, Elsevier, vol. 293(1), pages 1-23.
    5. Erhun Özkan & Geert-Jan van Houtum, 2023. "Joint Inventory and Scheduling Control in a Repair Facility," Operations Research, INFORMS, vol. 71(5), pages 1498-1514, September.
    6. Drent, Melvin & Moradi, Poulad & Arts, Joachim, 2023. "Efficient emission reduction through dynamic supply mode selection," European Journal of Operational Research, Elsevier, vol. 311(3), pages 925-941.
    7. Kouki, Chaaben & Arts, Joachim & Babai, M. Zied, 2024. "Performance evaluation of a two-echelon inventory system with network lost sales," European Journal of Operational Research, Elsevier, vol. 314(2), pages 647-664.
    8. 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.
    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. Joachim Arts & Rob Basten & Geert-Jan Van Houtum, 2016. "Repairable Stocking and Expediting in a Fluctuating Demand Environment: Optimal Policy and Heuristics," Operations Research, INFORMS, vol. 64(6), pages 1285-1301, December.
    11. Topan, E. & van der Heijden, M.C., 2020. "Operational level planning of a multi-item two-echelon spare parts inventory system with reactive and proactive interventions," European Journal of Operational Research, Elsevier, vol. 284(1), pages 164-175.
    12. Kouki, Chaaben & Moussawi-Haidar, Lama & Jaber, Mohamad Y., 2025. "A divergent two-echelon spare part inventory system with lost sales and compound Poisson demand," International Journal of Production Economics, Elsevier, vol. 285(C).
    13. 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.
    14. Jovan Grahovac & Amiya Chakravarty, 2001. "Sharing and Lateral Transshipment of Inventory in a Supply Chain with Expensive Low-Demand Items," Management Science, INFORMS, vol. 47(4), pages 579-594, April.
    15. van Wingerden, E. & Tan, T. & Van Houtum, G.J., 2019. "The impact of an emergency warehouse in a two-echelon spare parts network," European Journal of Operational Research, Elsevier, vol. 276(3), pages 983-997.
    16. Driessen, M.A. & van Houtum, G.J. & Zijm, W.H.M. & Rustenburg, W.D., 2020. "Capacity assignment in repair shops with high material uncertainty," International Journal of Production Economics, Elsevier, vol. 221(C).
    17. 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.
    18. Somarin, Aghil Rezaei & Sharma, Pankaj & Tiwari, Sunil & Chen, Songlin, 2023. "Stock reallocation policy for repairable service parts in case of supply disruptions due to extreme weather events," International Journal of Production Economics, Elsevier, vol. 256(C).
    19. Christiane B. Haubitz & Ulrich W. Thonemann, 2021. "How to Change a Running System—Controlling the Transition to Optimized Spare Parts Inventory Policies," Production and Operations Management, Production and Operations Management Society, vol. 30(5), pages 1386-1405, May.
    20. Hekimoğlu, Mustafa & Scheller-Wolf, Alan, 2023. "Dual sourcing models with stock-out dependent substitution," European Journal of Operational Research, Elsevier, vol. 311(2), pages 472-485.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:inm:ormsom:v:23:y:2021:i:6:p:1431-1448. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.