Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing

In this work, the packing of rectangles is modeled based on divisions of the available area, a binary tree codification is used to arrange the pieces so that the guillotines type cutting is guaranteed. A three stages algorithm with individual strategies inspired by algorithms of variable neighborho...

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Main Authors: Eliana Mirledy Toro, Alejandro Garcés, Hugo Ruiz
Format: Article
Language:English
Published: Universidad de Antioquia 2013-12-01
Series:Revista Facultad de Ingeniería Universidad de Antioquia
Subjects:
Online Access:https://revistas.udea.edu.co/index.php/ingenieria/article/view/17935
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author Eliana Mirledy Toro
Alejandro Garcés
Hugo Ruiz
author_facet Eliana Mirledy Toro
Alejandro Garcés
Hugo Ruiz
author_sort Eliana Mirledy Toro
collection DOAJ
description In this work, the packing of rectangles is modeled based on divisions of the available area, a binary tree codification is used to arrange the pieces so that the guillotines type cutting is guaranteed. A three stages algorithm with individual strategies inspired by algorithms of variable neighborhood search simulated annealing and constructive techniques are used to obtain the solution of the problem. The results obtained are compared using the objective function and percentage used of available area with fifty test cases of the specialized literature and their respective well-known answer with excellent results.
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spelling doaj.art-f1b95d803df6403c9c058f3232a7552a2023-03-23T12:33:45ZengUniversidad de AntioquiaRevista Facultad de Ingeniería Universidad de Antioquia0120-62302422-28442013-12-014610.17533/udea.redin.17935Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealingEliana Mirledy Toro0Alejandro Garcés1Hugo Ruiz 2Universidad Tecnológica de PereiraUniversidad Tecnológica de PereiraUniversidad Tecnológica de Pereira In this work, the packing of rectangles is modeled based on divisions of the available area, a binary tree codification is used to arrange the pieces so that the guillotines type cutting is guaranteed. A three stages algorithm with individual strategies inspired by algorithms of variable neighborhood search simulated annealing and constructive techniques are used to obtain the solution of the problem. The results obtained are compared using the objective function and percentage used of available area with fifty test cases of the specialized literature and their respective well-known answer with excellent results. https://revistas.udea.edu.co/index.php/ingenieria/article/view/17935Guillotinetwo-dimensional cuttingvariable neighborhood searchoptimization
spellingShingle Eliana Mirledy Toro
Alejandro Garcés
Hugo Ruiz
Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
Revista Facultad de Ingeniería Universidad de Antioquia
Guillotine
two-dimensional cutting
variable neighborhood search
optimization
title Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
title_full Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
title_fullStr Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
title_full_unstemmed Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
title_short Two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
title_sort two dimensional packing problem using a hybrid constructive algorithm of variable neighborhood search and simulated annealing
topic Guillotine
two-dimensional cutting
variable neighborhood search
optimization
url https://revistas.udea.edu.co/index.php/ingenieria/article/view/17935
work_keys_str_mv AT elianamirledytoro twodimensionalpackingproblemusingahybridconstructivealgorithmofvariableneighborhoodsearchandsimulatedannealing
AT alejandrogarces twodimensionalpackingproblemusingahybridconstructivealgorithmofvariableneighborhoodsearchandsimulatedannealing
AT hugoruiz twodimensionalpackingproblemusingahybridconstructivealgorithmofvariableneighborhoodsearchandsimulatedannealing