A General Heuristic Approach for Maximum Polygon Packing (CG Challenge)

Authors Canhui Luo , Zhouxing Su , Zhipeng Lü



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Author Details

Canhui Luo
  • Huazhong University of Science and Technology, Wuhan, China
Zhouxing Su
  • Huazhong University of Science and Technology, Wuhan, China
Zhipeng Lü
  • Huazhong University of Science and Technology, Wuhan, China

Acknowledgements

We want to thank the organizers of CG:SHOP 2024 and all other participants for creating such an engaging challenge. We also want to thank Dominik Krupke for providing a helpful official validator for solutions.

Cite As Get BibTex

Canhui Luo, Zhouxing Su, and Zhipeng Lü. A General Heuristic Approach for Maximum Polygon Packing (CG Challenge). In 40th International Symposium on Computational Geometry (SoCG 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 293, pp. 86:1-86:9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.SoCG.2024.86

Abstract

This work proposes a general heuristic packing approach to address the Maximum Polygon Packing Problem introduced by the CG:SHOP 2024 Challenge. Our solver primarily consists of two steps: (1) Partitioning the container and polygons to form a series of small-scale subproblems; (2) For each subproblem, sequentially placing polygons into the container and attempting to eliminate overlaps.

Subject Classification

ACM Subject Classification
  • Theory of computation → Computational geometry
  • Computing methodologies → Search methodologies
Keywords
  • packing
  • polygon
  • heuristic
  • differential evolution
  • local search
  • tabu search

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References

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