A note on the approximability of cutting stock problems

Tipo
Artigo
Data de publicação
2007
Periódico
European Journal of Operational Research
Citações (Scopus)
7
Autores
Cintra G.F.
Miyazawa F.K.
Wakabayashi Y.
Xavier E.C.
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Resumo
Cutting stock problems and bin packing problems are basically the same problems. They differ essentially on the variability of the input items. In the first, we have a set of items, each item with a given multiplicity; in the second, we have simply a list of items (each of which we may assume to have multiplicity 1). Many approximation algorithms have been designed for packing problems; a natural question is whether some of these algorithms can be extended to cutting stock problems. We define the notion of "well-behaved" algorithms and show that well-behaved approximation algorithms for one, two and higher dimensional bin packing problems can be translated to approximation algorithms for cutting stock problems with the same approximation ratios. © 2006 Elsevier B.V. All rights reserved.
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Assuntos Scopus
Bin packing , Bin packing problems , Cutting stock , Cutting stock problems
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