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Column generation for scheduling mobile composite robots in warehouses

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  • Zhao, Zheng
  • Cheng, Junkai
  • Zhao, Jianyi
  • Zhen, Lu

Abstract

As the e-commerce industry ascends, the strain on warehouse operation to manage order processing has intensified significantly. This paper pioneers the integration of mobile composite robot (MCR) for order assigning and path planning in warehouse. A mathematical model is established with the objective function of minimizing the time to complete orders. An algorithm based on column generation is developed, with dynamic programming and other acceleration strategies applied to improve the efficiency of the pricing problem. Numerical experiments show that the algorithm’s performance matches that of CPLEX in small-scale instances and exhibits the capacity to handle 50 orders in just 5 min. Additional experiments are conducted to substantiate the efficiency of our proposed algorithm and to offer valuable managerial insights to practitioners who are implementing MCR technology in warehouse environments.

Suggested Citation

  • Zhao, Zheng & Cheng, Junkai & Zhao, Jianyi & Zhen, Lu, 2025. "Column generation for scheduling mobile composite robots in warehouses," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:transe:v:194:y:2025:i:c:s1366554524005477
    DOI: 10.1016/j.tre.2024.103956
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    References listed on IDEAS

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    1. Jorge, Diana & Rocha, Tomás & Ramos, Tânia Rodrigues Pereira, 2024. "A time-driven simulation–optimization framework for the dynamic heterogeneous order-courier assignment problem for instant deliveries," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 192(C).
    2. Franco Quezada & Céline Gicquel & Safia Kedad-Sidhoum, 2023. "A stochastic dual dynamic integer programming based approach for remanufacturing planning under uncertainty," International Journal of Production Research, Taylor & Francis Journals, vol. 61(17), pages 5992-6012, September.
    3. 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.
    4. 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.
    5. Atashi Khoei, Arsham & Süral, Haldun & Tural, Mustafa Kemal, 2023. "Energy minimizing order picker forklift routing problem," European Journal of Operational Research, Elsevier, vol. 307(2), pages 604-626.
    6. Wanying Amanda Chen & René de Koster & Yeming Gong, 2023. "Warehouses without aisles : Layout design of a multi-deep rack climbing robotic system," Post-Print hal-04343870, HAL.
    7. Qin, Zhizhen & Kang, Yuexin & Yang, Peng, 2024. "Making better order fulfillment in multi-tote storage and retrieval autonomous mobile robot systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 192(C).
    8. Wanying Chen & René De Koster & Yeming Gong, 2022. "Analysis and Design of Rack-Climbing Robotic Storage and Retrieval Systems," Transportation Science, INFORMS, vol. 56(6), pages 1658-1676, November.
    9. 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).
    10. Zheng Wang & Jiuh‐Biing Sheu & Chung‐Piaw Teo & Guiqin Xue, 2022. "Robot Scheduling for Mobile‐Rack Warehouses: Human–Robot Coordinated Order Picking Systems," Production and Operations Management, Production and Operations Management Society, vol. 31(1), pages 98-116, January.
    11. Chen, Wanying (Amanda) & De Koster, René & Gong, Yeming, 2023. "Warehouses without aisles: Layout design of a multi-deep rack climbing robotic system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
    12. 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.
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