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TS2PACK: A two-level tabu search for the three-dimensional bin packing problem

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  • Crainic, Teodor Gabriel
  • Perboli, Guido
  • Tadei, Roberto

Abstract

Three-dimensional orthogonal bin packing is a problem NP-hard in the strong sense where a set of boxes must be orthogonally packed into the minimum number of three-dimensional bins. We present a two-level tabu search for this problem. The first-level aims to reduce the number of bins. The second optimizes the packing of the bins. This latter procedure is based on the Interval Graph representation of the packing, proposed by Fekete and Schepers, which reduces the size of the search space. We also introduce a general method to increase the size of the associated neighborhoods, and thus the quality of the search, without increasing the overall complexity of the algorithm. Extensive computational results on benchmark problem instances show the effectiveness of the proposed approach, obtaining better results compared to the existing ones.

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  • Crainic, Teodor Gabriel & Perboli, Guido & Tadei, Roberto, 2009. "TS2PACK: A two-level tabu search for the three-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 195(3), pages 744-760, June.
    • Handle: RePEc:eee:ejores:v:195:y:2009:i:3:p:744-760
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    6. van der Gaast, J.P. & Rietveld, C.A. & Gabor, A.F. & Zhang, Y., 2011. "A Local Search Algorithm for Clustering in Software as a Service Networks," ERIM Report Series Research in Management ERS-2011-004-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    7. Zhu, Wenbin & Zhang, Zhaoyi & Oon, Wee-Chong & Lim, Andrew, 2012. "Space defragmentation for packing problems," European Journal of Operational Research, Elsevier, vol. 222(3), pages 452-463.
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