dc.creatorSantos, André Gustavo dos
dc.creatorMonaci, Michele
dc.date2019-01-03T15:56:05Z
dc.date2019-01-03T15:56:05Z
dc.date2018-12
dc.date.accessioned2023-09-27T21:38:39Z
dc.date.available2023-09-27T21:38:39Z
dc.identifier1572-9338
dc.identifierhttps://doi.org/10.1007/s10479-017-2746-2
dc.identifierhttp://www.locus.ufv.br/handle/123456789/22903
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8963967
dc.descriptionWe consider a two-dimensional problem in which one is required to split a given rectangular bin into the smallest number of items. The resulting items must be squares to be packed, without overlapping, into the bin so as to cover all the given rectangle. We present a mathematical model and a heuristic algorithm that is proved to find the optimal solution in some special cases. Then, we introduce a relaxation of the problem and present different exact approaches based on this relaxation. Finally, we report computational experiments on the performances of the algorithms on a large set of randomly generated instances.
dc.formatpdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherAnnals of Operations Research
dc.relationVolume 271, Issue 2, Pages 831– 851, December 2018
dc.rightsSpringer Science+Business Media, LLC, part of Springer Nature 2018.
dc.subjectTwo-dimensional packing
dc.subjectMathematical models
dc.subjectExact algorithms
dc.subjectComputational experiments
dc.titleMinimum tiling of a rectangle by squares
dc.typeArtigo


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