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

Horacio Hideki Yanasse (), Reinaldo Morabito () and Marcos Nereu Arenales ()
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Horacio Hideki Yanasse: Instituto Nacional de Pesquisas Espaciais
Reinaldo Morabito: Universidade Federal de São Carlos
Marcos Nereu Arenales: Universidade de São Paulo

A chapter in Intelligent Decision Support, 2008, pp 69-88 from Springer

Abstract: 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.

Keywords: Staged two-dimensional guillotine cutting; linear and non-linear models; 1-; 2- and 3-group cutting patterns; 2-stage cutting pattern (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-8349-9777-7_5

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DOI: 10.1007/978-3-8349-9777-7_5

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