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Optimizing Two-Dimensional Irregular Pattern Packing with Advanced Overlap Optimization Techniques

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)

  • Aqib Mashood Khan

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

  • Ray Tahir Mushtaq

    (Bio-Additive Manufacturing University-Enterprise Joint Research Center of Shaanxi Province, Department of Industrial Engineering, Northwestern Polytechnical University, Xi’an 710072, China)

  • Mohammed Alkahtani

    (Department of Industrial Engineering, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi Arabia)

Abstract

This research introduces the Iterative Overlap Optimization Placement (IOOP) method, a novel approach designed to enhance the efficiency of irregular pattern packing by dynamically optimizing overlap ratios and pattern placements. Utilizing a modified genetic algorithm, IOOP addresses the complexities of arranging irregular patterns in a given space, focusing on improving spatial and material efficiency. This study demonstrates the method’s superiority over the traditional Size-First Non-Iterative Overlap Optimization Placement technique through comparative analysis, highlighting significant improvements in spatial utilization, flexibility, and material conservation. The effectiveness of IOOP is further validated by its robustness in handling diverse pattern groups and its adaptability in adjusting pattern placements iteratively. This research not only showcases the potential of IOOP in manufacturing and design processes requiring precise spatial planning but also opens avenues for its application across various industries, underscoring the need for further exploration into advanced technological integrations for tackling complex spatial optimization challenges.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2670-:d:1465683
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    References listed on IDEAS

    as
    1. 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.
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    Cited by:

    1. 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.

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