Title of article :
A particularapproachfortheThree-dimensionalPackingProblemwith
additional constraints
Author/Authors :
Ana deAlmeida ، نويسنده , , MarisaB.Figueiredo ، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2010
Abstract :
This paperfocusesonarestrainedconcretizationofthegeneralNP-hard ContainerLoadingProblem that
arises fromarealworldapplication.Thisparticularproblemcanbeinformallydescribedas:given
differentsetsofbinsandboxes,findthepackingoftheboxesintothesmallestnumberofbinsobeying
someadditionalrestrictionsontheplacement.Themathematicalprogrammingformulationthat
appearstobettermodelthisapplicationisthe Three-dimensionalBin-PackingProblem (3D-BPP) whichis
no morethananextensionoftheclassic Bin-PackingProblem to theorthogonalpackingofsolidobjects.
We presentanalternativenon-linearformulationforthe 3D-BPP versionaswellasnewdesigned
heuristicalgorithms(CPBOXandBOXCP)fortheapproximationoftheoptimalsolutionusingboxesand
bins ofheterogeneousdimensions.Moreover,wealsopresentaheuristicspecificallydesignedtowork
under veryparticularstorageapplicationrestrictions.Thenumericalresultsindicatethatallofthese
new heuristicshavegoodperformancestandardsespeciallywhenappliedtoreplicationsofrealinput
data.
Keywords :
Real problem application , Heuristic algorithms , Three-dimensional packing , Multi-criteria optimization
Journal title :
Computers and Operations Research
Journal title :
Computers and Operations Research