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Large-scale packing of ellipsoids

E. G. Birgin(egbirgin***at***ime.usp.br)
R. D. Lobato(lobato***at***ime.usp.br)

Abstract: The problem of packing ellipsoids in the n-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. Numerical experiments illustrate that the introduced approach delivers good quality solutions with a computational cost that scales linearly with the number of ellipsoids; and a solution with more than a million ellipsoids in the three-dimensional space is exhibited.

Keywords: Packing, ellipsoids, nonlinear programming, models, algorithms.

Category 1: Nonlinear Optimization

Citation:

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Entry Submitted: 09/27/2017
Entry Accepted: 09/27/2017
Entry Last Modified: 09/27/2017

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