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A heuristic approach to minimize the number of saw cycles in small-scale furniture factories

Author

Listed:
  • Alyne Toscano

    (UFTM - Universidade Federal do Triângulo Mineiro)

  • Socorro Rangel

    (UNESP - Univ Estadual Paulista)

  • Horacio Hideki Yanasse

    (Universidade Federal de São Paulo)

Abstract

This paper addresses a two-dimensional cutting stock problem arising in furniture factories. The problem involves the simultaneous optimization of two, usually conflicting, objectives: minimizing the total number of objects and maximizing the cutting machine productivity in terms of the number of objects that are simultaneously cut. A heuristic algorithm to solve the problem is proposed based on variables and constraints generation. The main idea is to add, in a dynamic way, bounds to the frequency of some chosen cutting patterns. At each iteration a solution is generated and at the end we have a set of non-dominated solutions. A computational study was conducted using real data from a small-scale furniture factory. The results show that the proposed algorithm finds solutions that are as good as or better than the ones used in practice in the furniture factory.

Suggested Citation

  • Alyne Toscano & Socorro Rangel & Horacio Hideki Yanasse, 2017. "A heuristic approach to minimize the number of saw cycles in small-scale furniture factories," Annals of Operations Research, Springer, vol. 258(2), pages 719-746, November.
    • Handle: RePEc:spr:annopr:v:258:y:2017:i:2:d:10.1007_s10479-015-1955-9
    DOI: 10.1007/s10479-015-1955-9
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    References listed on IDEAS

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    Cited by:

    1. Oliveira, Washington A. & Fiorotto, Diego J. & Song, Xiang & Jones, Dylan F., 2021. "An extended goal programming model for the multiobjective integrated lot-sizing and cutting stock problem," European Journal of Operational Research, Elsevier, vol. 295(3), pages 996-1007.
    2. Melega, Gislaine Mara & de Araujo, Silvio Alexandre & Jans, Raf, 2018. "Classification and literature review of integrated lot-sizing and cutting stock problems," European Journal of Operational Research, Elsevier, vol. 271(1), pages 1-19.
    3. Oliviana Xavier Nascimento & Thiago Alves Queiroz & Leonardo Junqueira, 2022. "A MIP-CP based approach for two- and three-dimensional cutting problems with staged guillotine cuts," Annals of Operations Research, Springer, vol. 316(2), pages 805-835, September.
    4. Gislaine Mara Melega & Silvio Alexandre de Araujo & Reinaldo Morabito, 2020. "Mathematical model and solution approaches for integrated lot-sizing, scheduling and cutting stock problems," Annals of Operations Research, Springer, vol. 295(2), pages 695-736, December.

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