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TSMSA: a 2DSPP algorithm with multi-strategy rectangle selection

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Abstract

The two-dimension strip packing problem (2DSPP) is an NP-hard combinatorial optimization problem, and it has a wide range of applications. The order in which the rectangles are placed in the strip is the key to solving the 2DSPP. In this paper, the corner increment multi-level scoring strategy and the two-step selection strategy are proposed to make the selection of rectangles more reasonable. The hierarchical construction strategy is used to improve the constructive heuristic algorithm to expand the search space of the rectangle selection. Based on this, this paper proposes a multi-strategy rectangle selection algorithm TSMSA for solving 2DSPP. Comparing experiments with 7 excellent algorithms for solving 2DSPP on 737 instances of the benchmark dataset shows that the instance number of the optimal solution obtained by TSMSA is 1.05~2.9 times that of the other 7 algorithms.

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Author information

Authors and Affiliations

  1. College of Computer Science, Chongqing University, Chongqing, 400044, China

    Ping Guo & Minliang Jiang

  2. College Key Laboratory of Software Theory and Technology, Chongqing University, Chongqing, 400044, China

    Ping Guo

Authors
  1. Ping Guo
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  2. Minliang Jiang
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Corresponding author

Correspondence to Ping Guo.

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Appendix

Appendix

In the appendix, we give the detailed data of the algorithm comparison experiment, in which the best value is shown in bold.

See Tables

Table 8 Avg_Gap (%) on dataset C
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Table 9 Avg_Gap(%) on dataset N
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Table 10 Avg_Gap(%) on dataset CX
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Table 11 Avg_Gap(%) on dataset NT
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Table 12 Avg_Gap(%) on dataset 2sp
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Table 13 Avg_Gap(%) on dataset BWMV
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Table 14 Avg_Gap(%) on dataset Nice
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Table 15 Avg_Gap(%) on dataset Path
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Table 16 Avg_Gap(%) on dataset ZDF
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Guo, P., Jiang, M. TSMSA: a 2DSPP algorithm with multi-strategy rectangle selection. J Supercomput 78, 12242–12277 (2022). https://doi.org/10.1007/s11227-022-04350-5

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  • DOI: https://doi.org/10.1007/s11227-022-04350-5

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