Download Advances in Global Optimization by David Gao, Ning Ruan, Wenxun Xing PDF

By David Gao, Ning Ruan, Wenxun Xing

This complaints quantity addresses advances in international optimization—a multidisciplinary study box that bargains with the research, characterization and computation of worldwide minima and/or maxima of nonlinear, non-convex and nonsmooth services in non-stop or discrete varieties. the amount comprises chosen papers from the 3rd biannual international Congress on international Optimization in Engineering & technology (WCGO), held within the Yellow Mountains, Anhui, China on July 8-12, 2013. The papers fall into 8 topical sections: mathematical programming; combinatorial optimization; duality conception; topology optimization; variational inequalities and complementarity difficulties; numerical optimization; stochastic types and simulation and intricate simulation and provide chain research.

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Heuristic methods for linear multiplicative programming. J. Glob. Optim. 4, 433–447 (1999) 9. : A new linearization method for generalized linear multiplicative programming. Comput. Oper. Res. 38, 1008–1013 (2011) 10. : Global optimization of multiplicative programs. J. Glob. Optim. 26, 387–418 (2003) 11. : A finite branch-and-bound algorithm for linear multiplicative programming. Comput. Optim. Appl. 20, 119–35 (2001) A Modified Cut-Peak Function Method for Global Optimization Sun Li and Wang Yuncheng Abstract We present a cut-peak function method for finding a global minimizer of the bound constrained optimization problems.

When obtaining such a point, let it be the next iteration and return to Phase 1. If such a point does not found, stop the algorithm and return the current iteration xk as the global solution to the original problem. S. Li ( ) • W. cn © Springer International Publishing Switzerland 2015 D. Gao et al. 1007/978-3-319-08377-3__6 51 52 S. Li and W. Yuncheng The cut-peak function method has been initially introduced by Wang [1]. In this method, a cut-peak function and a choice function are defined at a local minimizer, and minimizing the choice function assures a global descent of the original objective function.

X/ on D. x/ on D. e. 7) is equivalent to (SC1) or (SC2) or (SC3) according to the index i . 8) 38 Y. Wang et al. 7)and (SC2–SC3) when i 2 I3 . (1) When i 2 I1 [ I2 [ I4 , we will show that under the following three cases. Case 1. xN i D ui ,. xi 2 1. e. 7) holds. 7) holds, (SC1) is also true. We omit the proof. ] Case 2. xN i D vi . In this case Q i D 1. 7) holds, (SC1) is also true. The proof is also omitted. ] Case 3. ui ; vi /. a C Ax/ N i obviously. 7) holds. a C Ax/ N i D 0. So (SC1) holds.

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