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A column generation-based heuristic for the three-dimensional bin packing problem with rotation

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  • Batoul Mahvash
  • Anjali Awasthi
  • Satyaveer Chauhan

Abstract

This paper addresses a three-dimensional bin packing problem (3D-BPP) with rotation. The aim is finding the best way of packing 3D items into bins to increase the packing factor with the purpose of minimizing the number of bins. No restrictions apply to the orientation of the items, in which case items can be rotated both vertically and horizontally. 3D-BPP is solved by using a column generation (CG) technique-based heuristic. To generate new columns, fast CG is carried out by applying a heuristic pricing method, in which items with most negative reduced cost are sequentially positioned into bins based on an extreme point concept. The CG technique outperforms the best significant techniques in the literature in terms of solution quality. We also provide the new lower bounds for 3D-BPP with no rotation using CG technique.

Suggested Citation

  • Batoul Mahvash & Anjali Awasthi & Satyaveer Chauhan, 2018. "A column generation-based heuristic for the three-dimensional bin packing problem with rotation," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(1), pages 78-90, January.
    • Handle: RePEc:taf:tjorxx:v:69:y:2018:i:1:p:78-90
    DOI: 10.1057/s41274-017-0186-7
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    1. 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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