Packing ellipsoids by nonlinear optimization

E. G. Birgin (), R. D. Lobato () and J. M. Martínez ()
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E. G. Birgin: University of São Paulo
R. D. Lobato: University of São Paulo
J. M. Martínez: State University of Campinas

Journal of Global Optimization, 2016, vol. 65, issue 4, No 4, 709-743

Abstract: Abstract In this paper, continuous and differentiable nonlinear programming models and algorithms for packing ellipsoids in the n-dimensional space are introduced. Two different models for the non-overlapping and models for the inclusion of ellipsoids within half-spaces and ellipsoids are presented. By applying a simple multi-start strategy combined with a clever choice of starting guesses and a nonlinear programming local solver, illustrative numerical experiments are presented.

Keywords: Cutting and packing ellipsoids; Nonlinear programming; Models; Numerical experiments (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10898-015-0395-z

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