A filled function approach for nonsmooth constrained global optimization.
Wang, Weixiang, Shang, Youlin, Zhang, Ying (2010)
Mathematical Problems in Engineering
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Wang, Weixiang, Shang, Youlin, Zhang, Ying (2010)
Mathematical Problems in Engineering
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Gérard Berthiau, Patrick Siarry (2010)
RAIRO - Operations Research
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We present a review of the main “global optimization" methods. The paper comprises one introduction and two parts. In the introduction, we recall some generalities about non linear constraint-less optimization and we list some classifications which have been proposed for the global optimization methods. We then describe, in the first part, various “classical" global optimization methods, most of which available long before the appearance of Simulated Annealing (a key event in this...
Vlček, Jan, Lukšan, Ladislav
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Pelczewski, Jerzy (2015-11-28T13:30:03Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Håstad, Johan (1998)
Documenta Mathematica
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S. Grzegórski, H. Popławska (1974)
Applicationes Mathematicae
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Wang, Weixiang, Shang, Youlin, Zhang, Ying (2010)
Discrete Dynamics in Nature and Society
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Rzepecka, Genowefa (2015-11-10T13:18:06Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Djamel Aaid, Amel Noui, Mohand Ouanes (2017)
Archivum Mathematicum
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In this paper, a new global optimization method is proposed for an optimization problem with twice differentiable objective function a single variable with box constraint. The method employs a difference of linear interpolant of the objective and a concave function, where the former is a continuous piecewise convex quadratic function underestimator. The main objectives of this research are to determine the value of the lower bound that does not need an iterative local optimizer. The...
I. Charon, O. Hudry (2009)
RAIRO - Operations Research
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Serafim Opricović, Lorenzo Eccher, Miodrag Isailovski (1991)
The Yugoslav Journal of Operations Research
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Roman Dębski (2014)
International Journal of Applied Mathematics and Computer Science
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Effective, simulation-based trajectory optimization algorithms adapted to heterogeneous computers are studied with reference to the problem taken from alpine ski racing (the presented solution is probably the most general one published so far). The key idea behind these algorithms is to use a grid-based discretization scheme to transform the continuous optimization problem into a search problem over a specially constructed finite graph, and then to apply dynamic programming to find an...