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

Chung-Shou Liao and Chia-Hong Hsu

European Journal of Operational Research, 2013, vol. 225, issue 2, 244-252

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.

Keywords: Combinatorial optimization; Bin packing; Lower bounds; Three dimensional (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:225:y:2013:i:2:p:244-252

DOI: 10.1016/j.ejor.2012.10.024

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