Deterministic and stochastic global optimization techniques for planar covering with ellipses problems
AbstractProblems of planar covering with ellipses are tackled in this work. Ellipses can have a fixed angle or each of them can be freely rotated. Deterministic global optimization methods are developed for both cases, while a stochastic version of the method is also proposed for large instances of the latter case. Numerical results show the effectiveness and efficiency of the proposed methods.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 224 (2013)
Issue (Month): 1 ()
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Web page: http://www.elsevier.com/locate/eor
Global optimization; Non-linear programming; Planar covering with ellipses; Algorithms;
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- Birgin, E. G. & Martinez, J. M. & Ronconi, D. P., 2005. "Optimizing the packing of cylinders into a rectangular container: A nonlinear approach," European Journal of Operational Research, Elsevier, vol. 160(1), pages 19-33, January.
- Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
- Li, Lushu & Kabadi, S. N. & Nair, K. P. K., 2002. "Fuzzy versions of the covering circle problem," European Journal of Operational Research, Elsevier, vol. 137(1), pages 93-109, February.
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