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Space Splitting and Merging Technique for Online 3-D Bin Packing

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  • Thanh-Hung Nguyen

    (School of Mechanical Engineering, Hanoi University of Science and Technology, No. 1, Dai Co Viet Road, Hanoi 112400, Vietnam)

  • Xuan-Thuan Nguyen

    (School of Mechanical Engineering, Hanoi University of Science and Technology, No. 1, Dai Co Viet Road, Hanoi 112400, Vietnam)

Abstract

This paper introduces a novel method for online 3-D bin packing, which is a strongly NP-hard problem, based on a space splitting and merging technique. In this scenario, the incoming box is unknown and must be immediately packed. The problem has many applications in industries that use manipulators to automate the packing process. The main idea of the approach is to divide the bin into spaces. These spaces are then categorized into one of two types of data structures: main and secondary data structures. Each node in the main data structure holds the information of a space that can be used to fit a new box. Each node in the secondary data structure holds the information of a space that cannot be used to place a box. The search algorithm based on these two data structures reduces the required search effort and simplifies the organizing and editing of the data structure. The experimental results demonstrate that the proposed method can achieve a packed volume ratio of up to 83% in the case of multiple bins being used. The position of a placed box can be found within milliseconds.

Suggested Citation

  • Thanh-Hung Nguyen & Xuan-Thuan Nguyen, 2023. "Space Splitting and Merging Technique for Online 3-D Bin Packing," Mathematics, MDPI, vol. 11(8), pages 1-16, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1912-:d:1126403
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    References listed on IDEAS

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    1. Wu, Yong & Li, Wenkai & Goh, Mark & de Souza, Robert, 2010. "Three-dimensional bin packing problem with variable bin height," European Journal of Operational Research, Elsevier, vol. 202(2), pages 347-355, April.
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    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.
    7. Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
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    Cited by:

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