Finding global minima with a filled function approach for non-smooth global optimization.
Wang, Weixiang, Shang, Youlin, Zhang, Ying (2010)
Discrete Dynamics in Nature and Society
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Wang, Weixiang, Shang, Youlin, Zhang, Ying (2010)
Discrete Dynamics in Nature and Society
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Shang, You Lin, Wang, Wei Xiang, Sun, Quan Bao (2007)
Applied Mathematics E-Notes [electronic only]
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Shang, Youlin, Wang, Weixiang, Zhang, Liansheng (2010)
Mathematical Problems in Engineering
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Dmitri E. Kvasov (2008)
Bollettino dell'Unione Matematica Italiana
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This paper briefly describes some results of the author's PhD thesis, which has been specially mentioned by the Italian INdAM-SIMAI Committee for the Competition "The Best PhD Thesis in Applied Mathematics defended in 2004-2006". In this work, a global optimization problem is considered where the objective function is a multidimensional black-box function satisfying the Lipschitz condition over a hyperinterval and hard to evaluate. Such functions are frequently encountered in practice...
Haris Gavranović, Mirsad Buljubašić (2013)
RAIRO - Operations Research - Recherche Opérationnelle
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This paper presents a heuristic approach combining constraint satisfaction, local search and a constructive optimization algorithm for a large-scale energy management and maintenance scheduling problem. The methodology shows how to successfully combine and orchestrate different types of algorithms and to produce competitive results. We also propose an efficient way to scale the method for huge instances. A large part of the presented work was done to compete in the ROADEF/EURO Challenge...
Strekalovsky, Alexander (2005)
Journal of Applied Mathematics and Decision Sciences
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Zhang, Ming-Liang, Xiao, Yun-Hai, Zhou, Dangzhen (2010)
Mathematical Problems in Engineering
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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...
Yeniay, Ozgur (2005)
Mathematical Problems in Engineering
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Jiao, Hongwei, Feng, Qigao, Shen, Peiping, Guo, Yunrui (2008)
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...
Yuan, Gonglin (2009)
International Journal of Mathematics and Mathematical Sciences
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