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Cutting optimization of structural tubes to build agricultural light aircrafts

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  • Alexander Abuabara
  • Reinaldo Morabito

Abstract

In this study we deal with the one-dimensional cutting of metallic structural tubes used in the manufacturing of agricultural light aircrafts. The problem is modeled by mixed integer linear formulations aiming to minimize material trim losses and considering the possibility of generating remainders (leftovers) with enough size to reuse. To validate the application of the models in practice, we carried out experiments with real data of order lists from Ipanema, an agricultural airplane produced by a Brazilian aeronautical company. The models were solved using a modeling language and an optimization software. The computational results show that the models are useful in supporting decisions in this cutting process. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Alexander Abuabara & Reinaldo Morabito, 2009. "Cutting optimization of structural tubes to build agricultural light aircrafts," Annals of Operations Research, Springer, vol. 169(1), pages 149-165, July.
    • Handle: RePEc:spr:annopr:v:169:y:2009:i:1:p:149-165:10.1007/s10479-008-0438-7
    DOI: 10.1007/s10479-008-0438-7
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    References listed on IDEAS

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    1. Wascher, Gerhard & Hau[ss]ner, Heike & Schumann, Holger, 2007. "An improved typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1109-1130, December.
    2. Wang, P. Y. & Wascher, G., 2002. "Cutting and packing," European Journal of Operational Research, Elsevier, vol. 141(2), pages 239-240, September.
    3. Oliveira, Jose Fernando & Wascher, Gerhard, 2007. "Cutting and Packing," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1106-1108, December.
    4. Harald Dyckhoff, 1981. "A New Linear Programming Approach to the Cutting Stock Problem," Operations Research, INFORMS, vol. 29(6), pages 1092-1104, December.
    5. Dyckhoff, Harald, 1990. "A typology of cutting and packing problems," European Journal of Operational Research, Elsevier, vol. 44(2), pages 145-159, January.
    6. Gradisar, Miro & Resinovic, Gortan & Kljajic, Miroljub, 1999. "A hybrid approach for optimization of one-dimensional cutting," European Journal of Operational Research, Elsevier, vol. 119(3), pages 719-728, December.
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    Cited by:

    1. Santiago V. Ravelo & Cláudio N. Meneses & Maristela O. Santos, 2020. "Meta-heuristics for the one-dimensional cutting stock problem with usable leftover," Journal of Heuristics, Springer, vol. 26(4), pages 585-618, August.
    2. Cherri, Adriana Cristina & Cherri, Luiz Henrique & Oliveira, Beatriz Brito & Oliveira, José Fernando & Carravilla, Maria Antónia, 2023. "A stochastic programming approach to the cutting stock problem with usable leftovers," European Journal of Operational Research, Elsevier, vol. 308(1), pages 38-53.
    3. Cherri, Adriana Cristina & Arenales, Marcos Nereu & Yanasse, Horacio Hideki & Poldi, Kelly Cristina & Gonçalves Vianna, Andréa Carla, 2014. "The one-dimensional cutting stock problem with usable leftovers – A survey," European Journal of Operational Research, Elsevier, vol. 236(2), pages 395-402.
    4. D. N. Nascimento & S. A. Araujo & A. C. Cherri, 2022. "Integrated lot-sizing and one-dimensional cutting stock problem with usable leftovers," Annals of Operations Research, Springer, vol. 316(2), pages 785-803, September.

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