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Type: Artigo
Title: A matheuristic approach with nonlinear subproblems for large-scale packing of ellipsoids
Author: Birgin, E. G.
Lobato, R. D.
Abstract: The problem of packing ellipsoids in the three-dimensional space is considered in the present work. The proposed approach combines heuristic techniques with the resolution of recently introduced nonlinear programming models in order to construct solutions with a large number of ellipsoids. The introduced approach is able to pack identical and non-identical ellipsoids within a variety of containers. Moreover, it allows the inclusion of additional positioning constraints. This fact makes the proposed approach suitable for constructing large-scale solutions with specific positioning constraints in which density may not be the main issue. Numerical experiments illustrate that the introduced approach delivers good quality solutions with a computational cost that scales linearly with the number of ellipsoids; and solutions with more than a million ellipsoids are exhibited. (C) 2018 Elsevier B.V. All rights reserved
Subject: Programação não-linear
Country: Países Baixos
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.ejor.2018.07.006
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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