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A location-inventory model for large three-level supply chains

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  • Tancrez, Jean-Sébastien
  • Lange, Jean-Charles
  • Semal, Pierre

Abstract

We study the location-inventory problem in three-level supply networks. Our model integrates three decisions: the distribution centers location, flows allocation, and shipment sizes. We propose a nonlinear continuous formulation, including transportation, fixed, handling and holding costs, which decomposes into a closed-form equation and a linear program when the DC flows are fixed. We thus develop an iterative heuristic that estimates the DC flows a priori, solves the linear program, and then improves the DC flow estimations. Extensive numerical experiments show that the approach can design large supply networks both effectively and efficiently, and a case study is discussed.

Suggested Citation

  • Tancrez, Jean-Sébastien & Lange, Jean-Charles & Semal, Pierre, 2012. "A location-inventory model for large three-level supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 485-502.
    • Handle: RePEc:eee:transe:v:48:y:2012:i:2:p:485-502
    DOI: 10.1016/j.tre.2011.10.005
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    4. Mittal, Neha & Boile, Maria & Baveja, Alok & Theofanis, Sotiris, 2013. "Determining optimal inland-empty-container depot locations under stochastic demand," Research in Transportation Economics, Elsevier, vol. 42(1), pages 50-60.
    5. Majid Mehrabi Delshad & Adel Pourghader Chobar & Peiman Ghasemi & Davoud Jafari, 2024. "Efficient Humanitarian Logistics: Multi-Commodity Location–Inventory Model Incorporating Demand Probability and Consumption Coefficients," Logistics, MDPI, vol. 8(1), pages 1-20, January.
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    7. Thomas Hacardiaux & Jean-Sébastien Tancrez, 2022. "Assessing the benefits of horizontal cooperation for the various stages of the supply chain," Operational Research, Springer, vol. 22(4), pages 3901-3924, September.
    8. Darmawan, Agus & Wong, Hartanto & Thorstenson, Anders, 2021. "Supply chain network design with coordinated inventory control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
    9. Zhang, Zhi-Hai & Unnikrishnan, Avinash, 2016. "A coordinated location-inventory problem in closed-loop supply chain," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 127-148.
    10. Mohd Kamarul Irwan Abdul Rahim & El-Houssaine Aghezzaf & Veronique Limère & Birger Raa, 2016. "Analysing the effectiveness of vendor-managed inventory in a single-warehouse, multiple-retailer system," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1953-1965, June.
    11. Mehrdad Shahabi & Shirin Akbarinasaji & Avinash Unnikrishnan & Rachel James, 2013. "Integrated Inventory Control and Facility Location Decisions in a Multi-Echelon Supply Chain Network with Hubs," Networks and Spatial Economics, Springer, vol. 13(4), pages 497-514, December.
    12. de Keizer, Marlies & Akkerman, Renzo & Grunow, Martin & Bloemhof, Jacqueline M. & Haijema, Rene & van der Vorst, Jack G.A.J., 2017. "Logistics network design for perishable products with heterogeneous quality decay," European Journal of Operational Research, Elsevier, vol. 262(2), pages 535-549.
    13. Gregory M. Kellar & George G. Polak & Xinhui Zhang, 2016. "Synchronization, cross-docking, and decoupling in supply chain networks," International Journal of Production Research, Taylor & Francis Journals, vol. 54(9), pages 2585-2599, May.
    14. Thomas Hacardiaux & Christof Defryn & Jean-Sébastien Tancrez & Lotte Verdonck, 2022. "Balancing partner preferences for logistics costs and carbon footprint in a horizontal cooperation," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(1), pages 121-153, March.
    15. Jahani, Hamed & Abbasi, Babak & Sheu, Jiuh-Biing & Klibi, Walid, 2024. "Supply chain network design with financial considerations: A comprehensive review," European Journal of Operational Research, Elsevier, vol. 312(3), pages 799-839.
    16. Shuangyan Li & Xialian Li & Dezhi Zhang & Lingyun Zhou, 2017. "Joint Optimization of Distribution Network Design and Two-Echelon Inventory Control with Stochastic Demand and CO2 Emission Tax Charges," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-22, January.
    17. Thomas Hacardiaux & Jean-Sébastien Tancrez, 2020. "Assessing the environmental benefits of horizontal cooperation using a location-inventory model," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(4), pages 1363-1387, December.
    18. Shahabi, Mehrdad & Tafreshian, Amirmahdi & Unnikrishnan, Avinash & Boyles, Stephen D., 2018. "Joint production–inventory–location problem with multi-variate normal demand," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 60-78.
    19. Schuster Puga, Matías & Tancrez, Jean-Sébastien, 2017. "A heuristic algorithm for solving large location–inventory problems with demand uncertainty," European Journal of Operational Research, Elsevier, vol. 259(2), pages 413-423.
    20. Shahabi, Mehrdad & Unnikrishnan, Avinash & Jafari-Shirazi, Ehsan & Boyles, Stephen D., 2014. "A three level location-inventory problem with correlated demand," Transportation Research Part B: Methodological, Elsevier, vol. 69(C), pages 1-18.
    21. Chen, Jingxian & Liang, Liang & Yao, Dong-qing, 2019. "Factory encroachment and channel selection in an outsourced supply chain," International Journal of Production Economics, Elsevier, vol. 215(C), pages 73-83.

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