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The Pallet Loading Problem: Three-dimensional bin packing with practical constraints

Author

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  • Gzara, Fatma
  • Elhedhli, Samir
  • Yildiz, Burak C.

Abstract

Pallet loading requires the solution of a three-dimensional bin packing problem (3DBPP) with additional requirements. In particular, vertical support and load bearing, which are not enforced in 3DBPP, are essential in practice. In this work, we provide a complete solution approach for pallet loading problems where practical constraints of vertical support, load bearing, planogram sequencing, and weight limits are fully accounted for. Using a layer based column generation approach, we tackle vertical support using second order cone programming, and satisfy load bearing through a graph representation to trace load distribution. Additionally, we use industry data to propose an instance generator that produces realistic items with practical attributes such as support surface, load capacity, weight, and planogram sequence number. Extensive numerical testing reveals the ability of the approach to find high quality solutions for industry size instances in fast computational times.

Suggested Citation

  • Gzara, Fatma & Elhedhli, Samir & Yildiz, Burak C., 2020. "The Pallet Loading Problem: Three-dimensional bin packing with practical constraints," European Journal of Operational Research, Elsevier, vol. 287(3), pages 1062-1074.
    • Handle: RePEc:eee:ejores:v:287:y:2020:i:3:p:1062-1074
    DOI: 10.1016/j.ejor.2020.04.053
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    1. Xinghan Chen & Weilin Tang & Yuzhilin Hai & Maoxiang Lang & Yuying Liu & Shiqi Li, 2024. "Optimization of Truck–Cargo Matching for the LTL Logistics Hub Based on Three-Dimensional Pallet Loading," Mathematics, MDPI, vol. 12(21), pages 1-28, October.
    2. Yong Liu & Zhicheng Yue & Yong Wang & Haizhong Wang, 2023. "Logistics Distribution Vehicle Routing Problem with Time Window under Pallet 3D Loading Constraint," Sustainability, MDPI, vol. 15(4), pages 1-25, February.
    3. Naiara P. V. Sebbe & Francisco J. G. Silva & Alcinda M. S. Barreiras & Isabel M. Pinto & Rita C. M. Sales-Contini & Luis P. Ferreira & Ana B. M. Machado, 2024. "Pallet Loading Problem: A Case Study in the Automotive Industry Applying a Simplified Mathematical Model," Mathematics, MDPI, vol. 12(7), pages 1-17, March.
    4. Adamos Daios & Nikolaos Kladovasilakis & Ioannis Kostavelis, 2024. "Mixed Palletizing for Smart Warehouse Environments: Sustainability Review of Existing Methods," Sustainability, MDPI, vol. 16(3), pages 1-15, February.

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