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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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    1. ReVelle, C. S. & Eiselt, H. A., 2005. "Location analysis: A synthesis and survey," European Journal of Operational Research, Elsevier, vol. 165(1), pages 1-19, August.
    2. Klose, Andreas & Drexl, Andreas, 2005. "Facility location models for distribution system design," European Journal of Operational Research, Elsevier, vol. 162(1), pages 4-29, April.
    3. Teodor Gabriel Crainic & Michel Gendreau & Pierre Dejax, 1993. "Dynamic and Stochastic Models for the Allocation of Empty Containers," Operations Research, INFORMS, vol. 41(1), pages 102-126, February.
    4. Mark Daskin & Collette Coullard & Zuo-Jun Shen, 2002. "An Inventory-Location Model: Formulation, Solution Algorithm and Computational Results," Annals of Operations Research, Springer, vol. 110(1), pages 83-106, February.
    5. Sourirajan, Karthik & Ozsen, Leyla & Uzsoy, Reha, 2009. "A genetic algorithm for a single product network design model with lead time and safety stock considerations," European Journal of Operational Research, Elsevier, vol. 197(2), pages 599-608, September.
    6. Leyla Ozsen & Mark S. Daskin & Collette R. Coullard, 2009. "Facility Location Modeling and Inventory Management with Multisourcing," Transportation Science, INFORMS, vol. 43(4), pages 455-472, November.
    7. LANGE, Jean-Charles & SEMAL, Pierre, 2010. "Design of a network of reusable logistic containers," LIDAM Discussion Papers CORE 2010009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Jia Shu, 2010. "An Efficient Greedy Heuristic for Warehouse-Retailer Network Design Optimization," Transportation Science, INFORMS, vol. 44(2), pages 183-192, May.
    9. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
    10. Park, Sukun & Lee, Tae-Eog & Sung, Chang Sup, 2010. "A three-level supply chain network design model with risk-pooling and lead times," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 563-581, September.
    11. Navneet Vidyarthi & Emre Çelebi & Samir Elhedhli & Elizabeth Jewkes, 2007. "Integrated Production-Inventory-Distribution System Design with Risk Pooling: Model Formulation and Heuristic Solution," Transportation Science, INFORMS, vol. 41(3), pages 392-408, August.
    12. Melo, M.T. & Nickel, S. & Saldanha-da-Gama, F., 2009. "Facility location and supply chain management - A review," European Journal of Operational Research, Elsevier, vol. 196(2), pages 401-412, July.
    13. Jia Shu & Chung-Piaw Teo & Zuo-Jun Max Shen, 2005. "Stochastic Transportation-Inventory Network Design Problem," Operations Research, INFORMS, vol. 53(1), pages 48-60, February.
    14. Chung-Piaw Teo & Jia Shu, 2004. "Warehouse-Retailer Network Design Problem," Operations Research, INFORMS, vol. 52(3), pages 396-408, June.
    15. Axsater, Sven, 1980. "Economic lot sizes and vehicle scheduling," European Journal of Operational Research, Elsevier, vol. 4(6), pages 395-398, June.
    16. Nozick, Linda K. & Turnquist, Mark A., 1998. "Integrating inventory impacts into a fixed-charge model for locating distribution centers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 34(3), pages 173-186, September.
    17. Miranda, Pablo A. & Garrido, Rodrigo A., 2004. "Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 40(3), pages 183-207, May.
    18. Richard Freling & H. Edwin Romeijn & Dolores Romero Morales & Albert P. M. Wagelmans, 2003. "A Branch-and-Price Algorithm for the Multiperiod Single-Sourcing Problem," Operations Research, INFORMS, vol. 51(6), pages 922-939, December.
    19. Nozick, Linda K. & Turnquist, Mark A., 2001. "Inventory, transportation, service quality and the location of distribution centers," European Journal of Operational Research, Elsevier, vol. 129(2), pages 362-371, March.
    20. Zuo-Jun Max Shen & Collette Coullard & Mark S. Daskin, 2003. "A Joint Location-Inventory Model," Transportation Science, INFORMS, vol. 37(1), pages 40-55, February.
    21. Romeijn, H. Edwin & Shu, Jia & Teo, Chung-Piaw, 2007. "Designing two-echelon supply networks," European Journal of Operational Research, Elsevier, vol. 178(2), pages 449-462, April.
    22. Jayaraman, Vaidyanathan & Patterson, Raymond A. & Rolland, Erik, 2003. "The design of reverse distribution networks: Models and solution procedures," European Journal of Operational Research, Elsevier, vol. 150(1), pages 128-149, October.
    23. Guillermo Gallego & Maurice Queyranne & David Simchi-Levi, 1996. "Single Resource Multi-Item Inventory Systems," Operations Research, INFORMS, vol. 44(4), pages 580-595, August.
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    5. 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.
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    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Sebastjan ŠKERLIČ & Robert MUHA, 2016. "Identifying Warehouse Location Using Hierarchical Clustering," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 11(3), pages 121-129, September.
    12. 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.
    13. 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).
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    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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