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Efficient Packing of 2D Irregular Parts: A Hybrid Approach Incorporating a Modified Genetic Algorithm and Image Processing

Author

Listed:
  • Longhui Meng

    (School of Mechanical and Power Engineering, Nanjing Tech University, Nanjing 211816, China)

  • Liang Ding

    (Nanjing WIT Science & Technology Co., Ltd., Nanjing 210012, China)

  • Ray Tahir Mushtaq

    (Department of Industry Engineering, Northwestern Polytechnical University, Xi’an 710072, China)

  • Saqib Anwar

    (Industrial Engineering Department, College of Engineering, King Saud University, Riyadh 11421, Saudi Arabia)

  • Aqib Mashood Khan

    (College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China)

Abstract

This study proposes a technique for effectively arranging irregularly shaped parts on a board using a modified genetic algorithm and image processing. This technique addresses the challenge of efficiently packing parts of the same shape and size to optimize the utilization of available space. The optimization process comprises three search steps focused on finding suitable spatial relationships between the parts. The first two steps employ variance and envelope area criteria to optimize the position of the patterns, while the third step considers the distance between two columns of arranged parts. To enhance the accuracy and efficiency of the search process, a local-search-based optimization is proposed. The resulting optimized spatial relationships are derived from the three-step search process. The final layout strategy selects spatial relationships to maximize pattern accommodation on the board and arranges them horizontally to optimize utilization. The experimental results demonstrate the effectiveness of the proposed method in optimizing part layout for industrial production. Overall, this technique offers a solution for achieving effective packing, efficient resource utilization, and waste reduction.

Suggested Citation

  • Longhui Meng & Liang Ding & Ray Tahir Mushtaq & Saqib Anwar & Aqib Mashood Khan, 2024. "Efficient Packing of 2D Irregular Parts: A Hybrid Approach Incorporating a Modified Genetic Algorithm and Image Processing," Mathematics, MDPI, vol. 12(22), pages 1-21, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:22:p:3470-:d:1515511
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    References listed on IDEAS

    as
    1. Aline A.S. Leao & Franklina M.B. Toledo & José Fernando Oliveira & Maria Antónia Carravilla, 2016. "A semi-continuous MIP model for the irregular strip packing problem," International Journal of Production Research, Taylor & Francis Journals, vol. 54(3), pages 712-721, February.
    2. Kimms, Alf & Király, Hédi, 2023. "An extended model formulation for the two-dimensional irregular strip packing problem considering general industry-relevant aspects," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1202-1218.
    3. Cherri, Luiz H. & Mundim, Leandro R. & Andretta, Marina & Toledo, Franklina M.B. & Oliveira, José F. & Carravilla, Maria Antónia, 2016. "Robust mixed-integer linear programming models for the irregular strip packing problem," European Journal of Operational Research, Elsevier, vol. 253(3), pages 570-583.
    4. Longhui Meng & Liang Ding & Aqib Mashood Khan & Ray Tahir Mushtaq & Mohammed Alkahtani, 2024. "Optimizing Two-Dimensional Irregular Pattern Packing with Advanced Overlap Optimization Techniques," Mathematics, MDPI, vol. 12(17), pages 1-19, August.
    5. Martinez-Sykora, A. & Alvarez-Valdes, R. & Bennell, J.A. & Ruiz, R. & Tamarit, J.M., 2017. "Matheuristics for the irregular bin packing problem with free rotations," European Journal of Operational Research, Elsevier, vol. 258(2), pages 440-455.
    6. Leao, Aline A.S. & Toledo, Franklina M.B. & Oliveira, José Fernando & Carravilla, Maria Antónia & Alvarez-Valdés, Ramón, 2020. "Irregular packing problems: A review of mathematical models," European Journal of Operational Research, Elsevier, vol. 282(3), pages 803-822.
    7. Abeysooriya, Ranga P. & Bennell, Julia A. & Martinez-Sykora, Antonio, 2018. "Jostle heuristics for the 2D-irregular shapes bin packing problems with free rotation," International Journal of Production Economics, Elsevier, vol. 195(C), pages 12-26.
    8. Paes, Frederico Galaxe & Pessoa, Artur Alves & Vidal, Thibaut, 2017. "A hybrid genetic algorithm with decomposition phases for the Unequal Area Facility Layout Problem," European Journal of Operational Research, Elsevier, vol. 256(3), pages 742-756.
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