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Trim loss and related problems

Author

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  • Dyckhoff, H
  • Kruse, H-J
  • Abel, D
  • Gal, T

Abstract

Because of the diversity of the structures of real-world trim loss (or cutting stock) problems there exist no general standard methods for solving these problems. Hence many solution methods for trim loss problems have been developed in practice, especially heuristics. Since these methods are strongly based on the particular problems to which they are applied, the study of papers on problems with a comparable structure may prove helpful. In this paper a detailed catalogue of criteria for characterization of real-world trim loss problems is developed in a differentiated and systematic manner. The main criteria are: dimension, planning situation, goal, restrictions and solution approach. The proposed system of classification is based on 34 case studies found in the relevant literature. The classification of these case studies is represented by means of a 'classification schedule'. In view of existing formal similarities the classification system can also be of importance for (bin) packing and loading as well as some assortment problems.

Suggested Citation

  • Dyckhoff, H & Kruse, H-J & Abel, D & Gal, T, 1985. "Trim loss and related problems," Omega, Elsevier, vol. 13(1), pages 59-72.
    • Handle: RePEc:eee:jomega:v:13:y:1985:i:1:p:59-72
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    Citations

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    Cited by:

    1. Na, Byungsoo & Ahmed, Shabbir & Nemhauser, George & Sokol, Joel, 2013. "Optimization of automated float glass lines," International Journal of Production Economics, Elsevier, vol. 145(2), pages 561-572.
    2. Holthaus, Oliver, 2003. "On the best number of different standard lengths to stock for one-dimensional assortment problems," International Journal of Production Economics, Elsevier, vol. 83(3), pages 233-246, March.
    3. Wei, Lijun & Zhu, Wenbin & Lim, Andrew & Liu, Qiang & Chen, Xin, 2018. "An adaptive selection approach for the 2D rectangle packing area minimization problem," Omega, Elsevier, vol. 80(C), pages 22-30.
    4. Harald Dyckhoff & Rainer Souren, 2023. "Are important phenomena of joint production still being neglected by economic theory? A review of recent literature," Journal of Business Economics, Springer, vol. 93(6), pages 1015-1053, August.
    5. Sônia Poltroniere & Kelly Poldi & Franklina Toledo & Marcos Arenales, 2008. "A coupling cutting stock-lot sizing problem in the paper industry," Annals of Operations Research, Springer, vol. 157(1), pages 91-104, January.
    6. Sierra-Paradinas, María & Soto-Sánchez, Óscar & Alonso-Ayuso, Antonio & Martín-Campo, F. Javier & Gallego, Micael, 2021. "An exact model for a slitting problem in the steel industry," European Journal of Operational Research, Elsevier, vol. 295(1), pages 336-347.
    7. Malaguti, Enrico & Medina Durán, Rosa & Toth, Paolo, 2014. "Approaches to real world two-dimensional cutting problems," Omega, Elsevier, vol. 47(C), pages 99-115.
    8. 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.
    9. Martinez-Sykora, Antonio & Alvarez-Valdes, Ramon & Bennell, Julia & Tamarit, Jose Manuel, 2015. "Constructive procedures to solve 2-dimensional bin packing problems with irregular pieces and guillotine cuts," Omega, Elsevier, vol. 52(C), pages 15-32.
    10. 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.
    11. Cherri, Luiz Henrique & Carravilla, Maria Antónia & Ribeiro, Cristina & Toledo, Franklina Maria Bragion, 2019. "Optimality in nesting problems: New constraint programming models and a new global constraint for non-overlap," Operations Research Perspectives, Elsevier, vol. 6(C).
    12. Harald Dyckhoff, 2023. "Proper modelling of industrial production systems with unintended outputs: a different perspective," Journal of Productivity Analysis, Springer, vol. 59(2), pages 173-188, April.

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