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Rack retrieval and repositioning optimization problem in robotic mobile fulfillment systems

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  • Zhuang, Yanling
  • Zhou, Yun
  • Hassini, Elkafi
  • Yuan, Yufei
  • Hu, Xiangpei

Abstract

Robotic mobile fulfillment systems provide a new solution for e-commerce retailers to fulfill customers’ orders, wherein racks are moved by mobile robots to workstations so pickers can retrieve the purchased products. While such automated parts-to-picker systems can save on labor costs, they raise new operational challenges. In this paper, we investigate the rack storage and robot assignment to racks problem during order processing. We formulate this problem with the goal of minimizing the makespan of the system. Based on a rolling horizon framework and the simulated annealing method, we develop a matheuristic decomposition approach, which involves the solution of a special axial 3-index assignment problem in each stage to solve the problem. We test the performance of the proposed method for both large-scale cases based on a real-world dataset and small-scale instances generated synthetically. Computational results demonstrate the good performance of the proposed approach.

Suggested Citation

  • Zhuang, Yanling & Zhou, Yun & Hassini, Elkafi & Yuan, Yufei & Hu, Xiangpei, 2022. "Rack retrieval and repositioning optimization problem in robotic mobile fulfillment systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:transe:v:167:y:2022:i:c:s1366554522002976
    DOI: 10.1016/j.tre.2022.102920
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    1. Merschformann, M. & Lamballais, T. & de Koster, M.B.M. & Suhl, L., 2019. "Decision rules for robotic mobile fulfillment systems," Operations Research Perspectives, Elsevier, vol. 6(C).
    2. Kuzmicz, Katarzyna Anna & Pesch, Erwin, 2019. "Approaches to empty container repositioning problems in the context of Eurasian intermodal transportation," Omega, Elsevier, vol. 85(C), pages 194-213.
    3. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2017. "Parts-to-picker based order processing in a rack-moving mobile robots environment," European Journal of Operational Research, Elsevier, vol. 262(2), pages 550-562.
    4. Van Nieuwenhuyse, Inneke & de Koster, René B.M., 2009. "Evaluating order throughput time in 2-block warehouses with time window batching," International Journal of Production Economics, Elsevier, vol. 121(2), pages 654-664, October.
    5. Li, Xiaowei & Hua, Guowei & Huang, Anqiang & Sheu, Jiuh-Biing & Cheng, T.C.E. & Huang, Fengquan, 2020. "Storage assignment policy with awareness of energy consumption in the Kiva mobile fulfilment system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    6. Roy, Debjit & Nigam, Shobhit & de Koster, René & Adan, Ivo & Resing, Jacques, 2019. "Robot-storage zone assignment strategies in mobile fulfillment systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 122(C), pages 119-142.
    7. Jianming Cai & Xiaokang Li & Yue Liang & Shan Ouyang, 2021. "Collaborative Optimization of Storage Location Assignment and Path Planning in Robotic Mobile Fulfillment Systems," Sustainability, MDPI, vol. 13(10), pages 1-26, May.
    8. Alan L. Erera & Juan C. Morales & Martin Savelsbergh, 2009. "Robust Optimization for Empty Repositioning Problems," Operations Research, INFORMS, vol. 57(2), pages 468-483, April.
    9. Rong Yuan & Stephen C. Graves & Tolga Cezik, 2019. "Velocity‐Based Storage Assignment in Semi‐Automated Storage Systems," Production and Operations Management, Production and Operations Management Society, vol. 28(2), pages 354-373, February.
    10. Tim Lamballais Tessensohn & Debjit Roy & René B.M. De Koster, 2020. "Inventory allocation in robotic mobile fulfillment systems," IISE Transactions, Taylor & Francis Journals, vol. 52(1), pages 1-17, January.
    11. Giannikas, Vaggelis & Lu, Wenrong & Robertson, Brian & McFarlane, Duncan, 2017. "An interventionist strategy for warehouse order picking: Evidence from two case studies," International Journal of Production Economics, Elsevier, vol. 189(C), pages 63-76.
    12. Bipan Zou & Yeming Gong & Xianhao Xu & Zhe Yuan, 2017. "Assignment rules in robotic mobile fulfilment systems for online retailers," Post-Print hal-02312005, HAL.
    13. Mirzaei, Masoud & Zaerpour, Nima & de Koster, René, 2021. "The impact of integrated cluster-based storage allocation on parts-to-picker warehouse performance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 146(C).
    14. 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.
    15. 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.
    16. Felix Weidinger & Nils Boysen, 2018. "Scattered Storage: How to Distribute Stock Keeping Units All Around a Mixed-Shelves Warehouse," Service Science, INFORMS, vol. 52(6), pages 1412-1427, December.
    17. Gharehgozli, Amir & Zaerpour, Nima, 2020. "Robot scheduling for pod retrieval in a robotic mobile fulfillment system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    18. Erdem Çeven & Kevin R. Gue, 2017. "Optimal Wave Release Times for Order Fulfillment Systems with Deadlines," Transportation Science, INFORMS, vol. 51(1), pages 52-66, February.
    19. Weidinger, Felix & Boysen, Nils, 2018. "Scattered Storage: How to Distribute Stock Keeping Units All Around a Mixed-Shelves Warehouse," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126188, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    20. Song, Dong-Ping & Earl, Christopher F., 2008. "Optimal empty vehicle repositioning and fleet-sizing for two-depot service systems," European Journal of Operational Research, Elsevier, vol. 185(2), pages 760-777, March.
    21. Felix Weidinger & Nils Boysen & Dirk Briskorn, 2018. "Storage Assignment with Rack-Moving Mobile Robots in KIVA Warehouses," Service Science, INFORMS, vol. 52(6), pages 1479-1495, December.
    22. Zhuang, Yanling & Zhou, Yun & Yuan, Yufei & Hu, Xiangpei & Hassini, Elkafi, 2022. "Order picking optimization with rack-moving mobile robots and multiple workstations," European Journal of Operational Research, Elsevier, vol. 300(2), pages 527-544.
    23. Bipan Zou & Yeming (Yale) Gong & Xianhao Xu & Zhe Yuan, 2017. "Assignment rules in robotic mobile fulfilment systems for online retailers," International Journal of Production Research, Taylor & Francis Journals, vol. 55(20), pages 6175-6192, October.
    24. Lamballais, T. & Roy, D. & De Koster, M.B.M., 2017. "Estimating performance in a Robotic Mobile Fulfillment System," European Journal of Operational Research, Elsevier, vol. 256(3), pages 976-990.
    25. Xie, Lin & Thieme, Nils & Krenzler, Ruslan & Li, Hanyi, 2021. "Introducing split orders and optimizing operational policies in robotic mobile fulfillment systems," European Journal of Operational Research, Elsevier, vol. 288(1), pages 80-97.
    26. Zhe Yuan & Yeming Gong, 2017. "Bot-In-Time Delivery for Robotic Mobile Fulfillment Systems," Post-Print hal-02311982, HAL.
    27. Vis, Iris F.A., 2006. "Survey of research in the design and control of automated guided vehicle systems," European Journal of Operational Research, Elsevier, vol. 170(3), pages 677-709, May.
    28. Jiang, Min & Leung, K.H. & Lyu, Zhongyuan & Huang, George Q., 2020. "Picking-replenishment synchronization for robotic forward-reserve warehouses," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 144(C).
    29. Weidinger, Felix & Boysen, Nils & Briskorn, Dirk, 2018. "Storage Assignment with Rack-Moving Mobile Robots in KIVA Warehouses," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 126190, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    30. Boysen, Nils & Briskorn, Dirk & Emde, Simon, 2017. "Parts-to-picker based order processing in a rack-moving mobile robots environment," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 85774, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    31. Mohammad Marufuzzaman & Sandra Duni Ekşioğlu, 2017. "Designing a Reliable and Dynamic Multimodal Transportation Network for Biofuel Supply Chains," Transportation Science, INFORMS, vol. 51(2), pages 494-517, May.
    32. 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).
    33. Forma, Iris A. & Raviv, Tal & Tzur, Michal, 2015. "A 3-step math heuristic for the static repositioning problem in bike-sharing systems," Transportation Research Part B: Methodological, Elsevier, vol. 71(C), pages 230-247.
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    3. Miao He & Zailin Guan & Guoxiang Hou & Xiaofen Wang, 2024. "A Novel Parts-to-Picker System with Buffer Racks and Access Racks in Flexible Warehousing Systems," Sustainability, MDPI, vol. 16(4), pages 1-22, February.
    4. Li, Kunpeng & Liu, Tengbo & Ram Kumar, P.N. & Han, Xuefang, 2024. "A reinforcement learning-based hyper-heuristic for AGV task assignment and route planning in parts-to-picker warehouses," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 185(C).
    5. Justkowiak, Jan-Erik & Pesch, Erwin, 2023. "A column generation driven heuristic for order-scheduling and rack-sequencing in robotic mobile fulfillment systems," Omega, Elsevier, vol. 120(C).

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