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Sequential heuristic for the two-dimensional bin-packing problem

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  • Cui, Yi-Ping
  • Cui, Yaodong
  • Tang, Tianbing

Abstract

A heuristic approach for the two-dimensional bin-packing problem is proposed. The algorithm is based on the sequential heuristic procedure that generates each pattern to produce some items and repeats until all items are produced. Both guillotine and non-guillotine patterns can be used. Each pattern is obtained from calling a pattern-generation procedure, where the objective is to maximize the pattern value. The item values are adjusted after the generation of each pattern using a value correction formula. The algorithm is compared with five published algorithms, using 50 groups of benchmark instances. The results indicate that the algorithm is the most efficient in improving solution quality.

Suggested Citation

  • Cui, Yi-Ping & Cui, Yaodong & Tang, Tianbing, 2015. "Sequential heuristic for the two-dimensional bin-packing problem," European Journal of Operational Research, Elsevier, vol. 240(1), pages 43-53.
    • Handle: RePEc:eee:ejores:v:240:y:2015:i:1:p:43-53
    DOI: 10.1016/j.ejor.2014.06.032
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    Cited by:

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    2. Yi-Ping Cui & Yongwu Zhou & Yaodong Cui, 2017. "Triple-solution approach for the strip packing problem with two-staged patterns," Journal of Combinatorial Optimization, Springer, vol. 34(2), pages 588-604, August.
    3. 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.
    4. Zhi-Hua Hu & Yingxue Zhao & Sha Tao & Zhao-Han Sheng, 2015. "Finished-vehicle transporter routing problem solved by loading pattern discovery," Annals of Operations Research, Springer, vol. 234(1), pages 37-56, November.
    5. Arbib, Claudio & Marinelli, Fabrizio & Pizzuti, Andrea, 2021. "Number of bins and maximum lateness minimization in two-dimensional bin packing," European Journal of Operational Research, Elsevier, vol. 291(1), pages 101-113.
    6. Nestor M Cid-Garcia & Yasmin A Rios-Solis, 2020. "Positions and covering: A two-stage methodology to obtain optimal solutions for the 2d-bin packing problem," PLOS ONE, Public Library of Science, vol. 15(4), pages 1-22, April.

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