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Solving a large cutting problem in the glass manufacturing industry

Author

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  • Parreño, F.
  • Alonso, M.T.
  • Alvarez-Valdes, R.

Abstract

The glass cutting problem proposed by Saint Gobain for the 2018 ROADEF challenge includes some specific constraints that prevent the direct application of procedures developed for the standard cutting problem. On the one hand, the sheets to be cut have defects that make them unique and they must be used in a given order. On the other hand, pieces are grouped in stacks and the pieces in each stack must be cut in order. There are also some additional characteristics due to the technology being used, especially the requirement for a three-stage guillotine cutting process.

Suggested Citation

  • Parreño, F. & Alonso, M.T. & Alvarez-Valdes, R., 2020. "Solving a large cutting problem in the glass manufacturing industry," European Journal of Operational Research, Elsevier, vol. 287(1), pages 378-388.
  • Handle: RePEc:eee:ejores:v:287:y:2020:i:1:p:378-388
    DOI: 10.1016/j.ejor.2020.05.016
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    References listed on IDEAS

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    1. Silva, Elsa & Alvelos, Filipe & Valério de Carvalho, J.M., 2010. "An integer programming model for two- and three-stage two-dimensional cutting stock problems," European Journal of Operational Research, Elsevier, vol. 205(3), pages 699-708, September.
    2. Kress, Dominik & Dornseifer, Jan & Jaehn, Florian, 2019. "An exact solution approach for scheduling cooperative gantry cranes," European Journal of Operational Research, Elsevier, vol. 273(1), pages 82-101.
    3. Bennell, J.A. & Cabo, M. & Martínez-Sykora, A., 2018. "A beam search approach to solve the convex irregular bin packing problem with guillotine guts," European Journal of Operational Research, Elsevier, vol. 270(1), pages 89-102.
    4. Mhand Hifi & Catherine Roucairol, 2001. "Approximate and Exact Algorithms for Constrained (Un) Weighted Two-dimensional Two-staged Cutting Stock Problems," Journal of Combinatorial Optimization, Springer, vol. 5(4), pages 465-494, December.
    5. Borba, Leonardo & Ritt, Marcus & Miralles, Cristóbal, 2018. "Exact and heuristic methods for solving the Robotic Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 270(1), pages 146-156.
    6. Ronny Aboudi & Paulo Barcia, 1998. "Determining cutting stock patternswhen defects are present," Annals of Operations Research, Springer, vol. 82(0), pages 343-354, August.
    7. Sabuncuoglu, I. & Bayiz, M., 1999. "Job shop scheduling with beam search," European Journal of Operational Research, Elsevier, vol. 118(2), pages 390-412, October.
    8. Mauro Baldi & Teodor Crainic & Guido Perboli & Roberto Tadei, 2014. "Branch-and-price and beam search algorithms for the Variable Cost and Size Bin Packing Problem with optional items," Annals of Operations Research, Springer, vol. 222(1), pages 125-141, November.
    9. Ghirardi, M. & Potts, C. N., 2005. "Makespan minimization for scheduling unrelated parallel machines: A recovering beam search approach," European Journal of Operational Research, Elsevier, vol. 165(2), pages 457-467, September.
    10. Martinez-Sykora, A. & Alvarez-Valdes, R. & Bennell, J.A. & Ruiz, R. & Tamarit, J.M., 2017. "Matheuristics for the irregular bin packing problem with free rotations," European Journal of Operational Research, Elsevier, vol. 258(2), pages 440-455.
    11. X Song & J A Bennell, 2014. "Column generation and sequential heuristic procedure for solving an irregular shape cutting stock problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(7), pages 1037-1052, July.
    12. Polyakovskiy, Sergey & M’Hallah, Rym, 2018. "A hybrid feasibility constraints-guided search to the two-dimensional bin packing problem with due dates," European Journal of Operational Research, Elsevier, vol. 266(3), pages 819-839.
    13. Guntram Scheithauer, 2018. "Introduction to Cutting and Packing Optimization," International Series in Operations Research and Management Science, Springer, number 978-3-319-64403-5, December.
    14. Bennell, Julia A. & Soon Lee, Lai & Potts, Chris N., 2013. "A genetic algorithm for two-dimensional bin packing with due dates," International Journal of Production Economics, Elsevier, vol. 145(2), pages 547-560.
    15. Puchinger, Jakob & Raidl, Gunther R., 2007. "Models and algorithms for three-stage two-dimensional bin packing," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1304-1327, December.
    16. Silvano Martello & Daniele Vigo, 1998. "Exact Solution of the Two-Dimensional Finite Bin Packing Problem," Management Science, INFORMS, vol. 44(3), pages 388-399, March.
    17. P. C. Gilmore & R. E. Gomory, 1965. "Multistage Cutting Stock Problems of Two and More Dimensions," Operations Research, INFORMS, vol. 13(1), pages 94-120, February.
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    Cited by:

    1. Parreño, F. & Alvarez-Valdes, R., 2021. "Mathematical models for a cutting problem in the glass manufacturing industry," Omega, Elsevier, vol. 103(C).
    2. Polyakovskiy, Sergey & M’Hallah, Rym, 2022. "A lookahead matheuristic for the unweighed variable-sized two-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 299(1), pages 104-117.
    3. Braam, Florian & van den Berg, Daan, 2022. "Which rectangle sets have perfect packings?," Operations Research Perspectives, Elsevier, vol. 9(C).
    4. MA, Yunfeng & CHEN, Haoxun & YU, Yugang, 2022. "An efficient heuristic for minimizing the number of moves for the retrieval of a single item in a puzzle-based storage system with multiple escorts," European Journal of Operational Research, Elsevier, vol. 301(1), pages 51-66.
    5. Parreño-Torres, Consuelo & Alvarez-Valdes, Ramon & Parreño, Francisco, 2022. "A beam search algorithm for minimizing crane times in premarshalling problems," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1063-1078.

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