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Summary

This chapter describes two kinds of the optimal cutting methods of material using genetic algorithms. The first is the optimal cutting of bars to satisfy two requirements of the minimum length of scraps produced and the balance among the numbers of finished products of each length to meet customer’s order, when a series of raw bars are cut to various ordered length. The second is to determine the layout of various patterns to be cut on a sheet to make the required sheet length minimum. By combining layout determing algorithms(LDAs) with order-type genetic algorithms the required calculation time is considerably reduced. System configuration including the expression of genes, fitness function and how to integrate other proper systems into genetic algorithms, and the results of simulation studies are explained.

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References

  1. Chauny, F. and Loulou, R. et al. : A Two-phase Heuristic for the Twodimensional Cutting-stock Problem, Journal of the Operational Research Society, Vol.42, No.1, pp.39–47, 1991

    MATH  Google Scholar 

  2. Christofides, N. and Hadjiconstantinou, E. : An exact algorithm for orthogonal 2-D cutting problems using guillotine cuts, European Journal of Operational Research 83, pp.21–38, 1995

    Article  MathSciNet  MATH  Google Scholar 

  3. Davis, L. Ed. : Handbook of Genetic Algorithms, Van Nostrand Reinhold, 385p, 1991

    Google Scholar 

  4. Dyson, R. G. and Gregory, A. S. : The Cutting Stock Problem in the Flat Glass Industry, Operational Research Quarterly, Vol.25, No.1, pp.41–53, 1974

    Article  Google Scholar 

  5. Goldberg, D.E. : Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley Pub. Co., 412p, 1989

    MATH  Google Scholar 

  6. Holland, J.H. : Adaptation in Natural and Artificial Systems, The University of Michigan Press, 211p, 1975

    Google Scholar 

  7. Jakobs, S. : On genetic algorithms for the packing of polygons, Proc. of the KI-94 Workshop, pp.84–85, 1994

    Google Scholar 

  8. Michalewicz, Z. : Genetic Algorithms + Data Structures = Evolution Programs, Second, Extended Edition, Springer-Verlag, 340p, 1994

    Book  MATH  Google Scholar 

  9. Ono, T. : Application of Neural Networks to Optimal Selection of Cutting Length of Bars (in Japanese), T.IEE Japan, Vol. 113-D, No.12, pp.1371–1377,1993

    Google Scholar 

  10. Ono, T. and Watanabe, G. : Application of Genetic Algorithms to Optimizing Problems(In Japanese), Language and Information Processing (Fukuoka Institute of Technology), Vol.6, pp.89–96, 1995

    Google Scholar 

  11. Ono, T. and Watanabe, G. : Application of Genetic Algorithms to Optimal Selection of Cutting Length of Bars, Proceedings of Fifth FIT-Ajou University Joint Seminar, pp.24–31, 1995

    Google Scholar 

  12. Petridis, V. and Kazarlis, S. : Varying Quality Function in Genetic Algorithms and The Cutting Problem, Proc. of the First IEEE Conf. on Evolutionary Computation, pp.166–169, 1994

    Google Scholar 

  13. Vasko, F. J. : A computational improvement to Wang’s two-dimensional cutting stock algorithm, Computers ind. Engng, Vol.16, No.1, pp.109–115, 1989

    Article  MathSciNet  Google Scholar 

  14. Whitley, L.D. and Vose, M.D. Ed. : Foundations of Genetic Algorithms.3, Morgan Kaufmann Pub., 336p, 1995

    Google Scholar 

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© 1997 Springer-Verlag Berlin Heidelberg

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Ono, T., Watanabe, G. (1997). Genetic Algorithms for Optimal Cutting. In: Dasgupta, D., Michalewicz, Z. (eds) Evolutionary Algorithms in Engineering Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03423-1_28

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  • DOI: https://doi.org/10.1007/978-3-662-03423-1_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08282-5

  • Online ISBN: 978-3-662-03423-1

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