Adaptive Scalarization Methods in Multiobjective Optimization (Paperback, Softcover reprint of hardcover 1st ed. 2008)

In many areas in engineering, economics and science new developments are only possible by the application of modern optimization methods. Theoptimizationproblemsarisingnowadaysinapplicationsaremostly multiobjective, i.e. many competing objectives are aspired all at once. These optimization problems with a vector-valued objective function have in opposition to scalar-valued problems generally not only one minimal solution but the solution set is very large. Thus the devel- ment of e?cient numerical methods for special classes of multiobj- tive optimization problems is, due to the complexity of the solution set, of special interest. This relevance is pointed out in many recent publications in application areas such as medicine ([63, 118, 100, 143]), engineering([112,126,133,211,224],referencesin[81]),environmental decision making ([137, 227]) or economics ([57, 65, 217, 234]). Consideringmultiobjectiveoptimizationproblemsdemands?rstthe de?nition of minimality for such problems. A ?rst minimality notion traces back to Edgeworth [59], 1881, and Pareto [180], 1896, using the naturalorderingintheimagespace.A?rstmathematicalconsideration ofthistopicwasdonebyKuhnandTucker[144]in1951.Sincethattime multiobjective optimization became an active research ? eld. Several books and survey papers have been published giving introductions to this topic, for instance [28, 60, 66, 76, 112, 124, 165, 188, 189, 190, 215]. Inthelastdecadesthemainfocuswasonthedevelopmentofinteractive methods for determining one single solution in an iterative process.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Vector Optimization
Release date:	October 2010
First published:	2008
Authors:	Gabriele Eichfelder
Dimensions:	235 x 155 x 13mm (L x W x T)
Format:	Paperback
Pages:	241
Edition:	Softcover reprint of hardcover 1st ed. 2008
ISBN-13:	978-3-642-09804-8
Categories:	Books > Science & Mathematics > Mathematics > General Books > Computing & IT > General theory of computing > General Books > Computing & IT > Applications of computing > General Books > Business & Economics > Business & management > Management & management techniques > Operational research Promotions
LSN:	3-642-09804-5
Barcode:	9783642098048

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