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Solving Multi-objective Two Dimensional Rectangle Packing Problem

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Book cover Proceedings of Sixth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 547))

Abstract

The work presented here solves rectangular packing problem in which rectangular items are packed on a rectangular stock sheet. Multiple objectives have been considered which are optimized using rectangle packing algorithm with different heuristics. A mathematical formulation has been presented to solve the problem. Computational experiments have been conducted to find the best packing layout for the problem.

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References

  1. Yang, H.H., Lin, C.L.: On genetic algorithms for shoe making nesting. A Taiwan Case Expert Syst. Appl. 36(2), 1134–1141 (2009)

    Article  Google Scholar 

  2. Selow, R., Junior, F.N., Heitor, S., Lopes, H.S.: Genetic algorithms for the nesting problem in the packing industry. In: The International Multi Conference of Engineers and Computer Scientists (IMECS), pp. 1–6 (2007)

    Google Scholar 

  3. Yaodong, C., Yiping, L.: Heuristic algorithm for a cutting stock problem in the steel bridge construction. Comput. Oper. Res. 36, 612–622 (2009)

    Article  MATH  Google Scholar 

  4. Garey, M., Johnson, D.: Computers and Intractability, A Guide to the Theory of NP-Completeness. W.H. Freeman and Company, San Francisco (1979)

    MATH  Google Scholar 

  5. Hopper, E., Turton, B.C.H.: A review of the application of metaheuristic algorithms to 2D strip packing problems. Artif. Intell. Rev. 16, 257–300 (2001)

    Article  MATH  Google Scholar 

  6. Liu, H.Y., He, Y.J.: Algorithm for 2D irregular-shaped nesting problem based on the NFP algorithm and lowest-gravity-center principle. J. Zhejiang Univ.–Sci. 7(4), 570–576 (2006)

    Article  MATH  Google Scholar 

  7. Singh, K., Jain, L.: Optimal solution for 2-D Rectangle Packing Problem. Int. J. Appl. Eng. Res. 4, 2203–2222 (2009)

    Google Scholar 

  8. Leung, T.W., Yung, C.H., Troutt, M.D.: Applications of genetic search and simulated annealing to the two-dimensional non-guillotine cutting stock problem. Comput. Ind. Eng. 40, 201–214 (2001)

    Article  Google Scholar 

  9. Wascher, G., Hausner, H., Schumann, H.: An improved typology of cutting and packing problems. Eur. J. Oper. Res. 183, 1109–1130 (2007)

    Article  MATH  Google Scholar 

  10. Uday, A., Goodman, E.D., Debnath, A.A.: Nesting of irregular shapes using feature matching and parallel genetic algorithms. In: Genetic and Evolutionary Computation Conference Late Breaking Papers, San Francisco, California, USA, pp. 429–434 (2001)

    Google Scholar 

  11. Bennell, J.A., Lee. L.S., Potts, C.N.: A genetic algorithm for two-dimensional bin packing with due dates. Int. J. Prod. Econ. 145(2), 547–560 (2013)

    Article  Google Scholar 

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Correspondence to Amandeep Kaur Virk .

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Virk, A.K., Singh, K. (2017). Solving Multi-objective Two Dimensional Rectangle Packing Problem. In: Deep, K., et al. Proceedings of Sixth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 547. Springer, Singapore. https://doi.org/10.1007/978-981-10-3325-4_19

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  • DOI: https://doi.org/10.1007/978-981-10-3325-4_19

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3324-7

  • Online ISBN: 978-981-10-3325-4

  • eBook Packages: EngineeringEngineering (R0)

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