Constrained Global Optimization: Algorithms and Applications. 1st ed. 1987

種類:

電子ブック

責任表示:

by Panos M. Pardalos, J. Ben Rosen

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987

著者名:

• Pardalos, Panos M.
• Rosen, J. Ben.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Computer Science ; 268

ISBN:

9783540477556 [3540477551]    

注記:

Convex sets and functions -- Optimality conditions in nonlinear programming -- Combinatorial optimization problems that can be formulated as nonconvex quadratic problems -- Enumerative methods in nonconvex programming -- Cutting plane methods -- Branch and bound methods -- Bilinear programming methods for nonconvex quadratic problems -- Large scale problems -- Global minimization of indefinite quadratic problems -- Test problems for global nonconvex quadratic programming algorithms.
Global optimization is concerned with the characterization and computation of global minima or maxima of nonlinear functions. Such problems are widespread in mathematical modeling of real world systems for a very broad range of applications. The applications include economies of scale, fixed charges, allocation and location problems, quadratic assignment and a number of other combinatorial optimization problems. More recently it has been shown that certain aspects of VLSI chip design and database problems can be formulated as constrained global optimization problems with a quadratic objective function. Although standard nonlinear programming algorithms will usually obtain a local minimum to the problem , such a local minimum will only be global when certain conditions are satisfied (such as f and K being convex).

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