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A multi-faced buildup algorithm for three-dimensional packing problems

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  • Lim, A.
  • Rodrigues, B.
  • Wang, Y.

Abstract

This paper provides a new approach to solving the three-dimensional packing problem. The heuristic developed uses a multi-faced buildup technique in the packing procedure for which there is no requirement for packed boxes to form flat layers. The basic algorithm is then augmented by a Look-ahead strategy. Experimental results indicate an average packing utilization of 87.8% which improve current benchmarks significantly. The new approaches given here add to heuristics currently available.

Suggested Citation

  • Lim, A. & Rodrigues, B. & Wang, Y., 2003. "A multi-faced buildup algorithm for three-dimensional packing problems," Omega, Elsevier, vol. 31(6), pages 471-481, December.
    • Handle: RePEc:eee:jomega:v:31:y:2003:i:6:p:471-481
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Zhu, Wenbin & Lim, Andrew, 2012. "A new iterative-doubling Greedy–Lookahead algorithm for the single container loading problem," European Journal of Operational Research, Elsevier, vol. 222(3), pages 408-417.
    2. Tobias Fanslau & Andreas Bortfeldt, 2010. "A Tree Search Algorithm for Solving the Container Loading Problem," INFORMS Journal on Computing, INFORMS, vol. 22(2), pages 222-235, May.
    3. Hu, Qian & Wei, Lijun & Lim, Andrew, 2018. "The two-dimensional vector packing problem with general costs," Omega, Elsevier, vol. 74(C), pages 59-69.
    4. Araya, Ignacio & Moyano, Mauricio & Sanchez, Cristobal, 2020. "A beam search algorithm for the biobjective container loading problem," European Journal of Operational Research, Elsevier, vol. 286(2), pages 417-431.
    5. Hu, Qian & Lim, Andrew & Zhu, Wenbin, 2015. "The two-dimensional vector packing problem with piecewise linear cost function," Omega, Elsevier, vol. 50(C), pages 43-53.
    6. Bortfeldt, Andreas & Wäscher, Gerhard, 2013. "Constraints in container loading – A state-of-the-art review," European Journal of Operational Research, Elsevier, vol. 229(1), pages 1-20.
    7. Gajda, Mikele & Trivella, Alessio & Mansini, Renata & Pisinger, David, 2022. "An optimization approach for a complex real-life container loading problem," Omega, Elsevier, vol. 107(C).
    8. Huang, Wenqi & He, Kun, 2009. "A caving degree approach for the single container loading problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 93-101, July.
    9. Boysen, Nils & Fliedner, Malte, 2010. "Cross dock scheduling: Classification, literature review and research agenda," Omega, Elsevier, vol. 38(6), pages 413-422, December.
    10. Galrão Ramos, A. & Oliveira, José F. & Gonçalves, José F. & Lopes, Manuel P., 2016. "A container loading algorithm with static mechanical equilibrium stability constraints," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 565-581.
    11. Wang, Ning & Lim, Andrew & Zhu, Wenbin, 2013. "A multi-round partial beam search approach for the single container loading problem with shipment priority," International Journal of Production Economics, Elsevier, vol. 145(2), pages 531-540.
    12. Sheng, Liu & Hongxia, Zhao & Xisong, Dong & Changjian, Cheng, 2016. "A heuristic algorithm for container loading of pallets with infill boxes," European Journal of Operational Research, Elsevier, vol. 252(3), pages 728-736.
    13. Ardjmand, Ehsan & Sanei Bajgiran, Omid & Rahman, Shakil & Weckman, Gary R. & Young, William A., 2018. "A multi-objective model for order cartonization and fulfillment center assignment in the e-tail/retail industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 115(C), pages 16-34.

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