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Titlebook: Global Optimization; Deterministic Approa Reiner Horst,Hoang Tuy Book 19901st edition Springer-Verlag Berlin Heidelberg 1990 Decision Theor

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楼主: 气泡
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Decomposition of Large Scale Problemsart involving most of the variables of the problem, and a concave part involving only a relatively small number of variables. More precisely, these problems have the form.where f: ℝ. → ℝ is a concave function, Ω is a polyhedron, d and y are vectors in ℝ., and n is generally much smaller than h.
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Special Problems of Concave Minimizationzation methods. In this chapter we shall study some of the most important examples of these problems. They include bilinear programming, complementarity problems and certain parametric concave minimization problems. An important subclass of parametric concave minimization which we will study is line
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D.C. Programmingof a very general class of optimization problems. This theory allows one to derive several outer approximation methods for solving canonical d.c. problems and even certain d.c. problems that involve functions whose d.c. representations are not known. Then we present branch and bound methods for the
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Heterogeneity of Form and Function,gramming, and Lipschitz optimization. Some basic properties of these problems and various applications are discussed. It is also shown that very general systems of equalities and (or) inequalities can be formulated as global optimization problems.
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Sadhana N. Holla,Avinash Arivazhahanrned with using cuts in a “.” manner: typically, cuts were generated in such a way that no feasible point of the problem is excluded and the intersection of all the cuts contains the whole feasible region. This technique is most successful when the feasible region is a convex set, so that supporting
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Stephen A. Krawetz,David D. Wombleart involving most of the variables of the problem, and a concave part involving only a relatively small number of variables. More precisely, these problems have the form.where f: ℝ. → ℝ is a concave function, Ω is a polyhedron, d and y are vectors in ℝ., and n is generally much smaller than h.
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The distribution of ,, (chi squared),of a very general class of optimization problems. This theory allows one to derive several outer approximation methods for solving canonical d.c. problems and even certain d.c. problems that involve functions whose d.c. representations are not known. Then we present branch and bound methods for the
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Charul Sharma,Priya Vrat Arya,Sohini Singhesents a brief introduction into the most often treated univariate case. Section 2 is devoted to branch and bound methods. First it is shown that the well-known univariate approaches can be interpreted as branch and bound methods. Then several extensions of univariate methods to the case of n dimens
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