A note on the approximability of cutting stock problems

dc.contributor.authorCintra G.F.
dc.contributor.authorMiyazawa F.K.
dc.contributor.authorWakabayashi Y.
dc.contributor.authorXavier E.C.
dc.date.accessioned2024-03-13T01:38:54Z
dc.date.available2024-03-13T01:38:54Z
dc.date.issued2007
dc.description.abstractCutting 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.
dc.description.firstpage1328
dc.description.issuenumber3
dc.description.lastpage1332
dc.description.volume183
dc.identifier.doi10.1016/j.ejor.2005.09.053
dc.identifier.issn0377-2217
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/37594
dc.relation.ispartofEuropean Journal of Operational Research
dc.rightsAcesso Restrito
dc.subject.otherlanguageApproximation algorithm
dc.subject.otherlanguageBin packing
dc.subject.otherlanguageCutting stock
dc.titleA note on the approximability of cutting stock problems
dc.typeArtigo
local.scopus.citations7
local.scopus.eid2-s2.0-34447092898
local.scopus.subjectBin packing
local.scopus.subjectBin packing problems
local.scopus.subjectCutting stock
local.scopus.subjectCutting stock problems
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=34447092898&origin=inward
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