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Order consolidation in warehouses: The loop sorter scheduling problem

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  • Boysen, Nils
  • Stephan, Konrad
  • Schwerdfeger, Stefan

Abstract

To meet today’s ambitious order throughput targets, many distribution centers, especially those operated by online retailers, apply batching and zoning in their picker-to-parts warehouses. These order retrieval policies improve the pick density per tour by unifying multiple customer orders to larger pick lists and allow a parallelization of the picking process among multiple zones, respectively. The price for this is an additional consolidation stage, where picked products must be sorted according to customer orders, typically with the help of a sortation conveyor. In this context, we treat the loop sorter scheduling problem, which is defined as follows. Once a wave of orders, picked concurrently in multiple zones, has been inducted onto a closed-loop sorter, we have to assign the products that refer to the same stock keeping units (SKUs) to orders and orders to packing lanes, where they are prepared for shipping. Furthermore, we have to decide on the sequence in which the orders are channeled into their packing lanes. Our aim is to minimize the makespan until all orders of the current wave are readily sorted. We formulate the loop sorter scheduling problem, investigate computational complexity, and derive suitable solution algorithms. One important finding of our computational study is that simple priority rules, which are frequently applied in real-world warehouses and previous research, waste significant optimization potential.

Suggested Citation

  • Boysen, Nils & Stephan, Konrad & Schwerdfeger, Stefan, 2024. "Order consolidation in warehouses: The loop sorter scheduling problem," European Journal of Operational Research, Elsevier, vol. 316(2), pages 459-472.
  • Handle: RePEc:eee:ejores:v:316:y:2024:i:2:p:459-472
    DOI: 10.1016/j.ejor.2024.02.042
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    References listed on IDEAS

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    1. Jelmer P. van der Gaast & René B. M. de Koster & Ivo J. B. F. Adan & Jacques A. C. Resing, 2020. "Capacity Analysis of Sequential Zone Picking Systems," Operations Research, INFORMS, vol. 68(1), pages 161-179, January.
    2. Nils Boysen & Konrad Stephan & Felix Weidinger, 2019. "Manual order consolidation with put walls: the batched order bin sequencing problem," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 8(2), pages 169-193, June.
    3. Dirk Briskorn & Simon Emde & Nils Boysen, 2017. "Scheduling shipments in closed-loop sortation conveyors," Journal of Scheduling, Springer, vol. 20(1), pages 25-42, February.
    4. Jérémie Gallien & Théophane Weber, 2010. "To Wave or Not to Wave? Order Release Policies for Warehouses with an Automated Sorter," Manufacturing & Service Operations Management, INFORMS, vol. 12(4), pages 642-662, September.
    5. Boysen, Nils & Stephan, Konrad & Weidinger, Felix, 2022. "Efficient order consolidation in warehouses: The product-to-order- assignment problem in warehouses with sortation systems," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 133403, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. Boysen, Nils & Scholl, Armin & Wopperer, Nico, 2012. "Resequencing of mixed-model assembly lines: Survey and research agenda," European Journal of Operational Research, Elsevier, vol. 216(3), pages 594-604.
    7. Briskorn, Dirk & Emde, Simon & Boysen, Nils, 2017. "Scheduling shipments in closed-loop sortation conveyors," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 109728, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    8. Boysen, Nils & Stephan, Konrad & Weidinger, Felix, 2019. "Manual order consolidation with put walls: the batched order bin sequencing problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126187, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    9. M. Eric Johnson & Tom Lofgren, 1994. "Model Decomposition Speeds Distribution Center Design," Interfaces, INFORMS, vol. 24(5), pages 95-106, October.
    10. de Koster, Rene & Le-Duc, Tho & Roodbergen, Kees Jan, 2007. "Design and control of warehouse order picking: A literature review," European Journal of Operational Research, Elsevier, vol. 182(2), pages 481-501, October.
    11. 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.
    12. Maximilian Schiffer & Nils Boysen & Patrick S. Klein & Gilbert Laporte & Marco Pavone, 2022. "Optimal Picking Policies in E-Commerce Warehouses," Management Science, INFORMS, vol. 68(10), pages 7497-7517, October.
    13. Boysen, Nils & Fedtke, Stefan & Weidinger, Felix, 2018. "Optimizing automated sorting in warehouses: The minimum order spread sequencing problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126183, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    14. Nils Boysen & Konrad Stephan & Felix Weidinger, 2022. "Efficient order consolidation in warehouses: The product-to-order-assignment problem in warehouses with sortation systems," IISE Transactions, Taylor & Francis Journals, vol. 54(10), pages 963-975, July.
    15. Stefan Fedtke & Nils Boysen, 2017. "Layout Planning of Sortation Conveyors in Parcel Distribution Centers," Transportation Science, INFORMS, vol. 51(1), pages 3-18, February.
    16. Boysen, Nils & Briskorn, Dirk & Fedtke, Stefan & Schmickerath, Marcel, 2019. "Automated sortation conveyors: A survey from an operational research perspective," European Journal of Operational Research, Elsevier, vol. 276(3), pages 796-815.
    17. 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).
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