IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v313y2024i1p192-206.html
   My bibliography  Save this article

Extensions to the guaranteed service model for industrial applications of multi-echelon inventory optimization

Author

Listed:
  • Achkar, Victoria G.
  • Brunaud, Braulio B.
  • Pérez, Héctor D.
  • Musa, Rami
  • Méndez, Carlos A.
  • Grossmann, Ignacio E.

Abstract

Multi-echelon inventory optimization (MEIO) plays a key role in a supply chain seeking to achieve specified customer service levels with a minimum capital in inventory. In this work, we propose a generalized MEIO model based on the Guaranteed Service approach to allocate safety stock levels across the network at the lowest holding cost. This model integrates several existing and some novel features that are usually present in pharmaceutical multi-echelon supply chains into a single model: review periods, manufacturing facilities, hybrid nodes (nodes with both internal and external demand), minimum order quantities (MOQ), and different service level performance indicators (fill rate and cycle service levels). We include a polynomial regression to approximate fill rates as a possible target measure to set safety stocks. To improve efficiency, we propose a nonlinear programming model to support decision making, which can be reformulated as a Quadratically Constrained Program (QCP), which leads to order of magnitude reductions in computational time. The performance of the model is evaluated by solving illustrative and real-world cases, and is validated with simulation.

Suggested Citation

  • Achkar, Victoria G. & Brunaud, Braulio B. & Pérez, Héctor D. & Musa, Rami & Méndez, Carlos A. & Grossmann, Ignacio E., 2024. "Extensions to the guaranteed service model for industrial applications of multi-echelon inventory optimization," European Journal of Operational Research, Elsevier, vol. 313(1), pages 192-206.
    • Handle: RePEc:eee:ejores:v:313:y:2024:i:1:p:192-206
    DOI: 10.1016/j.ejor.2023.08.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221723006173
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2023.08.013?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. Silver, Edward A. & Bischak, Diane P., 2011. "The exact fill rate in a periodic review base stock system under normally distributed demand," Omega, Elsevier, vol. 39(3), pages 346-349, June.
    2. David Simchi-Levi & Yao Zhao, 2012. "Performance Evaluation of Stochastic Multi-Echelon Inventory Systems: A Survey," Advances in Operations Research, Hindawi, vol. 2012, pages 1-34, December.
    3. Stephen C. Graves & Sean P. Willems, 2000. "Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 68-83, June.
    4. 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.
    5. Kenneth F. Simpson, 1958. "In-Process Inventories," Operations Research, INFORMS, vol. 6(6), pages 863-873, December.
    6. Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
    7. Klosterhalfen, Steffen T. & Dittmar, Daniel & Minner, Stefan, 2013. "An integrated guaranteed- and stochastic-service approach to inventory optimization in supply chains," European Journal of Operational Research, Elsevier, vol. 231(1), pages 109-119.
    8. Eruguz, Ayse Sena & Sahin, Evren & Jemai, Zied & Dallery, Yves, 2016. "A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization," International Journal of Production Economics, Elsevier, vol. 172(C), pages 110-125.
    9. Inderfurth, Karl & Minner, Stefan, 1998. "Safety stocks in multi-stage inventory systems under different service measures," European Journal of Operational Research, Elsevier, vol. 106(1), pages 57-73, April.
    10. Teunter, R.H. & Syntetos, A.A. & Babai, M.Z., 2017. "Stock keeping unit fill rate specification," European Journal of Operational Research, Elsevier, vol. 259(3), pages 917-925.
    11. Salal Humair & John D. Ruark & Brian Tomlin & Sean P. Willems, 2013. "Incorporating Stochastic Lead Times Into the Guaranteed Service Model of Safety Stock Optimization," Interfaces, INFORMS, vol. 43(5), pages 421-434, October.
    12. Niels De Smet & El-Houssaine Aghezzaf & Bram Desmet, 2019. "Optimising installation (R,Q) policies in distribution networks with stochastic lead times: a comparative analysis of guaranteed- and stochastic service models," International Journal of Production Research, Taylor & Francis Journals, vol. 57(13), pages 4148-4165, July.
    13. Gonçalves, João N.C. & Sameiro Carvalho, M. & Cortez, Paulo, 2020. "Operations research models and methods for safety stock determination: A review," Operations Research Perspectives, Elsevier, vol. 7(C).
    14. Stephen C. Graves & Sean P. Willems, 2003. "Erratum: Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 5(2), pages 176-177.
    15. Zied Jemai & Ayse Sena Eruguz & Evren Sahin & Yves Dallery, 2014. "Optimising reorder intervals and order-up-to levels in guaranteed service supply chains," Post-Print hal-01672392, HAL.
    Full references (including those not matched with items on IDEAS)

    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. Aouam, Tarik & Kumar, Kunal, 2019. "On the effect of overtime and subcontracting on supply chain safety stocks," Omega, Elsevier, vol. 89(C), pages 1-20.
    2. Klosterhalfen, Steffen T. & Willems, Sean P. & Dittmar, Daniel, 2023. "Safety stock placement in supply chains with expediting," European Journal of Operational Research, Elsevier, vol. 307(2), pages 745-757.
    3. 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.
    4. Eruguz, Ayse Sena & Sahin, Evren & Jemai, Zied & Dallery, Yves, 2016. "A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization," International Journal of Production Economics, Elsevier, vol. 172(C), pages 110-125.
    5. Barros, Júlio & Cortez, Paulo & Carvalho, M. Sameiro, 2021. "A systematic literature review about dimensioning safety stock under uncertainties and risks in the procurement process," Operations Research Perspectives, Elsevier, vol. 8(C).
    6. Kumar, Kunal & Aouam, Tarik, 2019. "Extending the strategic safety stock placement model to consider tactical production smoothing," European Journal of Operational Research, Elsevier, vol. 279(2), pages 429-448.
    7. Ghadimi, Foad & Aouam, Tarik, 2021. "Planning capacity and safety stocks in a serial production–distribution system with multiple products," European Journal of Operational Research, Elsevier, vol. 289(2), pages 533-552.
    8. Schuster Puga, Matías & Minner, Stefan & Tancrez, Jean-Sébastien, 2019. "Two-stage supply chain design with safety stock placement decisions," International Journal of Production Economics, Elsevier, vol. 209(C), pages 183-193.
    9. Tan Wang & L. Jeff Hong, 2023. "Large-Scale Inventory Optimization: A Recurrent Neural Networks–Inspired Simulation Approach," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 196-215, January.
    10. Yazdani, Majid & Aouam, Tarik, 2023. "Shipment planning and safety stock placement in maritime supply chains with stochastic demand and transportation times," International Journal of Production Economics, Elsevier, vol. 263(C).
    11. Gihan S. Edirisinghe & Thamer Almutairi, 2023. "Multi-Echelon Inventory Optimization for Practitioners: a Predictive Global Sensitivity Analysis Approach," SN Operations Research Forum, Springer, vol. 4(2), pages 1-20, June.
    12. Salal Humair & Sean P. Willems, 2006. "Optimizing Strategic Safety Stock Placement in Supply Chains with Clusters of Commonality," Operations Research, INFORMS, vol. 54(4), pages 725-742, August.
    13. Jörn Grahl & Stefan Minner & Daniel Dittmar, 2016. "Meta-heuristics for placing strategic safety stock in multi-echelon inventory with differentiated service times," Annals of Operations Research, Springer, vol. 242(2), pages 489-504, July.
    14. Stephen C. Graves & Tor Schoenmeyr, 2016. "Strategic Safety-Stock Placement in Supply Chains with Capacity Constraints," Manufacturing & Service Operations Management, INFORMS, vol. 18(3), pages 445-460, July.
    15. Fichtinger, Johannes & Chan, Claire (Wan-Chuan) & Yates, Nicola, 2019. "A joint network design and multi-echelon inventory optimisation approach for supply chain segmentation," International Journal of Production Economics, Elsevier, vol. 209(C), pages 103-111.
    16. Funaki, Kenichi, 2012. "Strategic safety stock placement in supply chain design with due-date based demand," International Journal of Production Economics, Elsevier, vol. 135(1), pages 4-13.
    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. Kaminsky, Philip & Kaya, Onur, 2008. "Inventory positioning, scheduling and lead-time quotation in supply chains," International Journal of Production Economics, Elsevier, vol. 114(1), pages 276-293, July.
    19. Mario Di Nardo & Mariano Clericuzio & Teresa Murino & Chiara Sepe, 2020. "An Economic Order Quantity Stochastic Dynamic Optimization Model in a Logistic 4.0 Environment," Sustainability, MDPI, vol. 12(10), pages 1-25, May.
    20. Ramesh Bollapragada & Uday S. Rao & Jun Zhang, 2004. "Managing Inventory and Supply Performance in Assembly Systems with Random Supply Capacity and Demand," Management Science, INFORMS, vol. 50(12), pages 1729-1743, December.

    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:313:y:2024:i:1:p:192-206. 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.