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New lower bounds for the three-dimensional orthogonal bin packing problem

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  • Liao, Chung-Shou
  • Hsu, Chia-Hong

Abstract

In this paper, we consider the three-dimensional orthogonal bin packing problem, which is a generalization of the well-known bin packing problem. We present new lower bounds for the problem from a combinatorial point of view and demonstrate that they theoretically dominate all previous results from the literature. The comparison is also done concerning asymptotic worst-case performance ratios. The new lower bounds can be more efficiently computed in polynomial time. In addition, we study the non-oriented model, which allows items to be rotated.

Suggested Citation

  • Liao, Chung-Shou & Hsu, Chia-Hong, 2013. "New lower bounds for the three-dimensional orthogonal bin packing problem," European Journal of Operational Research, Elsevier, vol. 225(2), pages 244-252.
    • Handle: RePEc:eee:ejores:v:225:y:2013:i:2:p:244-252
    DOI: 10.1016/j.ejor.2012.10.024
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    2. 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.

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