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A goal-driven ruin and recreate heuristic for the 2D variable-sized bin packing problem with guillotine constraints

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  • Gardeyn, Jeroen
  • Wauters, Tony

Abstract

This paper addresses the two-dimensional bin packing problem with guillotine constraints. The problem requires a set of rectangular items to be cut from larger rectangles, known as bins, while only making use of edge-to-edge (guillotine) cuts. The goal is to minimize the total bin area needed to cut all required items. This paper also addresses variants of the problem which permit 90∘ rotation of items and/or a heterogeneous set of bins. A novel heuristic is introduced which is based on the ruin and recreate paradigm combined with a goal-driven approach. When applying the proposed heuristic to benchmark instances from the literature, it outperforms the current state-of-the-art algorithms in terms of solution quality for all variants of the problem considered.

Suggested Citation

  • Gardeyn, Jeroen & Wauters, Tony, 2022. "A goal-driven ruin and recreate heuristic for the 2D variable-sized bin packing problem with guillotine constraints," European Journal of Operational Research, Elsevier, vol. 301(2), pages 432-444.
    • Handle: RePEc:eee:ejores:v:301:y:2022:i:2:p:432-444
    DOI: 10.1016/j.ejor.2021.11.031
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    1. Liu, Chang & Smith-Miles, Kate & Wauters, Tony & Costa, Alysson M., 2024. "Instance space analysis for 2D bin packing mathematical models," European Journal of Operational Research, Elsevier, vol. 315(2), pages 484-498.

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