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Multi-warehouse package consolidation for split orders in online retailing

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  • Zhang, Yuankai
  • Lin, Wei-Hua
  • Huang, Minfang
  • Hu, Xiangpei

Abstract

With the rapid growth of the online market in recent years, order splitting has become a great challenge to online retailers for fulfilling multi-item orders in a multi-warehouse storage network. Order splitting can lead to higher shipping costs, the use of more packages, and possible dissatisfaction from customers. This paper presents a multi-warehouse package consolidation approach aimed at consolidating multiple suborders’ stock-keeping units (SKUs) through transshipments among warehouses. A combined multi-commodity network flow model is proposed to determine the consolidation warehouses for each order and make transshipment decisions for individual SKUs. An enhanced logic-based Benders’ decomposition algorithm is proposed to decompose the model into a general multi-commodity network flow master problem and a set of bin packing with conflicts sub-problems. Two proposed Benders’ cuts guarantee the algorithm to converge to optimality. The proposed algorithm can generate the near-optimal result with only about 25% of the CPU time required by CPLEX to solve the proposed model. Numerical experiments reveal that the proposed package consolidation approach outperforms the order splitting fulfillment approach in reducing the total costs, the number of packages, and the delivery times, especially for cases with a small number of SKUs in each suborder which are typical for online retailers. Sensitivity analyses are performed to provide managerial insights of adopting the proposed approach in the real world where order splitting is a common phenomenon.

Suggested Citation

  • Zhang, Yuankai & Lin, Wei-Hua & Huang, Minfang & Hu, Xiangpei, 2021. "Multi-warehouse package consolidation for split orders in online retailing," European Journal of Operational Research, Elsevier, vol. 289(3), pages 1040-1055.
    • Handle: RePEc:eee:ejores:v:289:y:2021:i:3:p:1040-1055
    DOI: 10.1016/j.ejor.2019.07.004
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    as
    1. Paraskevopoulos, Dimitris C. & Bektaş, Tolga & Crainic, Teodor Gabriel & Potts, Chris N., 2016. "A cycle-based evolutionary algorithm for the fixed-charge capacitated multi-commodity network design problem," European Journal of Operational Research, Elsevier, vol. 253(2), pages 265-279.
    2. Roshanaei, Vahid & Luong, Curtiss & Aleman, Dionne M. & Urbach, David, 2017. "Propagating logic-based Benders’ decomposition approaches for distributed operating room scheduling," European Journal of Operational Research, Elsevier, vol. 257(2), pages 439-455.
    3. Ping Josephine Xu & Russell Allgor & Stephen C. Graves, 2009. "Benefits of Reevaluating Real-Time Order Fulfillment Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 340-355, January.
    4. Masoud Yaghini & Mohammad Karimi & Mohadeseh Rahbar & Mohammad Hassan Sharifitabar, 2015. "A Cutting-Plane Neighborhood Structure for Fixed-Charge Capacitated Multicommodity Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 48-58, February.
    5. Yanzhe (Murray) Lei & Stefanus Jasin & Amitabh Sinha, 2018. "Joint Dynamic Pricing and Order Fulfillment for E-commerce Retailers," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 269-284, May.
    6. Koushik Ramakrishna & Moosa Sharafali & Yun Lim, 2015. "A two-item two-warehouse periodic review inventory model with transshipment," Annals of Operations Research, Springer, vol. 233(1), pages 365-381, October.
    7. Jason Acimovic & Stephen C. Graves, 2015. "Making Better Fulfillment Decisions on the Fly in an Online Retail Environment," Manufacturing & Service Operations Management, INFORMS, vol. 17(1), pages 34-51, February.
    8. Yuankai Zhang & Minfang Huang & Xiangpei Hu & Lijun Sun, 2018. "Package consolidation approach to the split-order fulfillment problem of online supermarkets," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(1), pages 127-141, January.
    9. Mariel, Katharina & Minner, Stefan, 2017. "Benders decomposition for a strategic network design problem under NAFTA local content requirements," Omega, Elsevier, vol. 68(C), pages 62-75.
    10. Ishfaq, Rafay & Bajwa, Naeem, 2019. "Profitability of online order fulfillment in multi-channel retailing," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1028-1040.
    11. Jason Acimovic & Stephen C. Graves, 2017. "Mitigating Spillover in Online Retailing via Replenishment," Manufacturing & Service Operations Management, INFORMS, vol. 19(3), pages 419-436, July.
    12. Mohammad M. Fazel-Zarandi & J. Christopher Beck, 2012. "Using Logic-Based Benders Decomposition to Solve the Capacity- and Distance-Constrained Plant Location Problem," INFORMS Journal on Computing, INFORMS, vol. 24(3), pages 387-398, August.
    13. Boysen, Nils & de Koster, René & Weidinger, Felix, 2019. "Warehousing in the e-commerce era: A survey," European Journal of Operational Research, Elsevier, vol. 277(2), pages 396-411.
    14. A. Gürhan Kök & Marshall L. Fisher & Ramnath Vaidyanathan, 2015. "Assortment Planning: Review of Literature and Industry Practice," International Series in Operations Research & Management Science, in: Narendra Agrawal & Stephen A. Smith (ed.), Retail Supply Chain Management, edition 2, chapter 0, pages 175-236, Springer.
    15. Sebastian Steinker & Kai Hoberg & Ulrich W. Thonemann, 2017. "The Value of Weather Information for E-Commerce Operations," Production and Operations Management, Production and Operations Management Society, vol. 26(10), pages 1854-1874, October.
    16. Hanbazazah, Abdulkader S. & Abril, Luis & Erkoc, Murat & Shaikh, Nazrul, 2019. "Freight consolidation with divisible shipments, delivery time windows, and piecewise transportation costs," European Journal of Operational Research, Elsevier, vol. 276(1), pages 187-201.
    17. Stefanus Jasin & Amitabh Sinha, 2015. "An LP-Based Correlated Rounding Scheme for Multi-Item Ecommerce Order Fulfillment," Operations Research, INFORMS, vol. 63(6), pages 1336-1351, December.
    18. Sanjay L. Ahire & Manoj K. Malhotra & John B. Jensen, 2015. "Carton-Mix Optimization for Walmart.com Distribution Centers," Interfaces, INFORMS, vol. 45(4), pages 341-357, August.
    19. Zhang, Yuankai & Sun, Lijun & Hu, Xiangpei & Zhao, Chen, 2019. "Order consolidation for the last-mile split delivery in online retailing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 309-327.
    20. Torabi, S.A. & Hassini, E. & Jeihoonian, M., 2015. "Fulfillment source allocation, inventory transshipment, and customer order transfer in e-tailing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 79(C), pages 128-144.
    21. Fausto Errico & Teodor Gabriel Crainic & Federico Malucelli & Maddalena Nonato, 2017. "A Benders Decomposition Approach for the Symmetric TSP with Generalized Latency Arising in the Design of Semiflexible Transit Systems," Transportation Science, INFORMS, vol. 51(2), pages 706-722, May.
    22. Boysen, Nils & de Koster, René & Weidinger, Felix, 2019. "Warehousing in the e-commerce era: A survey," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126185, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    23. Rahmaniani, Ragheb & Crainic, Teodor Gabriel & Gendreau, Michel & Rei, Walter, 2017. "The Benders decomposition algorithm: A literature review," European Journal of Operational Research, Elsevier, vol. 259(3), pages 801-817.
    24. 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.
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    Cited by:

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    4. Ding, Tianrong & Zhang, Yuankai & Wang, Zheng & Hu, Xiangpei, 2024. "Velocity-based rack storage location assignment for the unidirectional robotic mobile fulfillment system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    5. Yajun Zhan & Yiping Jiang, 2022. "Integrated Optimization of Order Allocation and Last-Mile Multi-Temperature Joint Distribution for Fresh Agriproduct Community Retail," Sustainability, MDPI, vol. 14(15), pages 1-18, August.
    6. Jiu, Song & Wang, Dan & Ma, Zujun, 2024. "Benders decomposition for robust distribution network design and operations in online retailing," European Journal of Operational Research, Elsevier, vol. 315(3), pages 1069-1082.
    7. Zheng Wang & Wei Xu & Xiangpei Hu & Yong Wang, 2022. "Inventory allocation to robotic mobile-rack and picker-to-part warehouses at minimum order-splitting and replenishment costs," Annals of Operations Research, Springer, vol. 316(1), pages 467-491, September.

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