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An optimizing model to solve the nesting problem of rectangle pieces based on genetic algorithm

Author

Listed:
  • Hongtao Tang

    (Wuhan University of Technology)

  • Xixing Li

    (Wuhan University of Technology)

  • Shunsheng Guo

    (Wuhan University of Technology)

  • Shuwei Liu

    (Wuhan University of Technology)

  • Li Li

    (Wuhan University of Technology)

  • Lang Huang

    (Wuhan University of Technology)

Abstract

In the process of cement equipment manufacturing, the demand of rectangle pieces of steel structure is very large. The traditional manual nesting, which is simply cutting by hand-making according to the arrangement of the number and size, causes the low efficiency and material wasting. To solve the problem above, this paper proposes an optimizing model for nesting problem of rectangle pieces. Firstly, with the aim of the maximum utilization ratio of the sheet, the optimization mathematical model for nesting problem of rectangle pieces is established. The lowest horizontal line searching algorithm is described in detail. Secondly, the mathematical model is solved to get the optimal solution by the combination of genetic algorithm and the lowest horizontal line searching algorithm. In the solution process, this paper presents the methods of gene encoding and decoding, definition of fitness function, the design of genetic operators and the design of algorithm operating parameters. Finally, we use one sheet as an example to illustrate the proposed model and algorithm process. Experimental results have shown that the proposed approach is able to achieve rectangle pieces nesting with the maximum material utilization ratio.

Suggested Citation

  • Hongtao Tang & Xixing Li & Shunsheng Guo & Shuwei Liu & Li Li & Lang Huang, 2017. "An optimizing model to solve the nesting problem of rectangle pieces based on genetic algorithm," Journal of Intelligent Manufacturing, Springer, vol. 28(8), pages 1817-1826, December.
    • Handle: RePEc:spr:joinma:v:28:y:2017:i:8:d:10.1007_s10845-015-1067-z
    DOI: 10.1007/s10845-015-1067-z
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    References listed on IDEAS

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    1. H. Terashima-Marín & P. Ross & C. Farías-Zárate & E. López-Camacho & M. Valenzuela-Rendón, 2010. "Generalized hyper-heuristics for solving 2D Regular and Irregular Packing Problems," Annals of Operations Research, Springer, vol. 179(1), pages 369-392, September.
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    3. Gomes, A. Miguel & Oliveira, Jose F., 2002. "A 2-exchange heuristic for nesting problems," European Journal of Operational Research, Elsevier, vol. 141(2), pages 359-370, September.
    4. Wolf, Christian & Koberstein, Achim, 2013. "Dynamic sequencing and cut consolidation for the parallel hybrid-cut nested L-shaped method," European Journal of Operational Research, Elsevier, vol. 230(1), pages 143-156.
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