Constrained Global Optimization: Algorithms and Applications (Lecture Notes in Computer Science (268))

Panos M. Pardalos, J. Ben Rosen (eds.)

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نویسنده: Panos M. Pardalos, J. Ben Rosen (eds.)
ناشر: Springer-Verlag Berlin Heidelberg
سال انتشار: ۱۹۸۷
فرمت: PDF
زبان: انگلیسی
حجم فایل: ۲٫۲ مگابایت

دربارهٔ کتاب

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). Convex sets and functions....Pages 1-12 Optimality conditions in nonlinear programming....Pages 13-23 Combinatorial optimization problems that can be formulated as nonconvex quadratic problems....Pages 24-33 Enumerative methods in nonconvex programming....Pages 34-48 Cutting plane methods....Pages 49-57 Branch and bound methods....Pages 58-74 Bilinear programming methods for nonconvex quadratic problems....Pages 75-83 Large scale problems....Pages 84-100 Global minimization of indefinite quadratic problems....Pages 101-117 Test problems for global nonconvex quadratic programming algorithms....Pages 118-122

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