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Linear and Non-linear Models for Staged Two-Dimensional Guillotine Cutting Problems

In: Intelligent Decision Support

Author

Listed:
  • Horacio Hideki Yanasse

    (Instituto Nacional de Pesquisas Espaciais)

  • Reinaldo Morabito

    (Universidade Federal de São Carlos)

  • Marcos Nereu Arenales

    (Universidade de São Paulo)

Abstract

In this chapter we review linear and non-linear formulations for the staged cutting problems of generating: (i) 1-, 2- and 3-group 2-dimensional guillotine cutting patterns, (ii) 2-stage 2-dimensional guillotine cutting patterns inspired by 1-group models. These problems appear in the cutting processes of, for example, furniture, hardboard and stone industries. Models for these problems are useful for research and development of more effective solution methods, exploring special features and particular structures, model decomposition, model relaxations, etc., and for the performance evaluation of heuristic methods. The models are compared regarding the model size and some computational results are reported.

Suggested Citation

  • Horacio Hideki Yanasse & Reinaldo Morabito & Marcos Nereu Arenales, 2008. "Linear and Non-linear Models for Staged Two-Dimensional Guillotine Cutting Problems," Springer Books, in: Andreas Bortfeldt & Jörg Homberger & Herbert Kopfer & Giselher Pankratz & Reinhard Strangmeier (ed.), Intelligent Decision Support, pages 69-88, Springer.
    • Handle: RePEc:spr:sprchp:978-3-8349-9777-7_5
    DOI: 10.1007/978-3-8349-9777-7_5
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