Adaptive Scalarization Methods in Multiobj...

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Beschreibung

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.

Zusammenfassung

Readers will benefit from new adaptive methods and ideas for solving multiobjective optimization

Contains test problems and algorithms for many types of well-known scalarization approaches

Includes supplementary material: [...]

Inhaltsverzeichnis

Theory.- Theoretical Basics of Multiobjective Optimization.- Scalarization Approaches.- Sensitivity Results for the Scalarizations.- Numerical Methods and Results.- Adaptive Parameter Control.- Numerical Results.- Application to Intensity Modulated Radiotherapy.- Multiobjective Bilevel Optimization.- Application to Multiobjective Bilevel Optimization.

Details

Erscheinungsjahr:	2008
Fachbereich:	Allgemeines
Genre:	Wirtschaft
Rubrik:	Recht & Wirtschaft
Medium:	Buch
Reihe:	Vector Optimization
Inhalt:	xiii 241 S.
ISBN-13:	9783540791577
ISBN-10:	3540791574
Sprache:	Englisch
Herstellernummer:	12255016
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Eichfelder, Gabriele
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg Vector Optimization
Maße:	241 x 160 x 19 mm
Von/Mit:	Gabriele Eichfelder
Erscheinungsdatum:	04.06.2008
Gewicht:	0,553 kg