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Adaptive Scalarization Methods in Multiobjective Optimization - Eichfelder, Gabriele
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Eichfelder, Gabriele:
Adaptive Scalarization Methods in Multiobjective Optimization - Taschenbuch

2010, ISBN: 9783642098048

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[ED: Softcover], [PU: Springer, Berlin], 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. Softcover reprint of hardcover 1st ed. 2008. 2010. xiii, 241 S. 9 Tabellen. 235 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Adaptive Scalarization Methods in Multiobjective Optimization - Gabriele Eichfelder
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ISBN: 9783642098048

ID: 978364209804

This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. With the help of sensitivity results an adaptive parameter control is developed such that high-quality approximations of the efficient set are generated. These examinations are based on a special scalarization approach, but the application of these results to many other well-known scalarization methods is also presented. Thereby very general multiobjective optimization problems are considered with an arbitrary partial ordering defined by a closed pointed convex cone in the objective space. The effectiveness of these new methods is demonstrated with several test problems as well as with a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems is given and is applied to a bicriteria bilevel problem in medical engineering. Gabriele Eichfelder, Books, Computers, Adaptive Scalarization Methods in Multiobjective Optimization Books>Computers, Springer Berlin Heidelberg

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Adaptive Scalarization Methods in Multiobjective Optimization - neues Buch

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Adaptive Scalarization Methods in Multiobjective Optimization (Vector Optimization) - Taschenbuch

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Details zum Buch
Adaptive Scalarization Methods in Multiobjective Optimization

This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. With the help of sensitivity results an adaptive parameter control is developed such that high-quality approximations of the efficient set are generated. These examinations are based on a special scalarization approach, but the application of these results to many other well-known scalarization methods is also presented. Thereby very general multiobjective optimization problems are considered with an arbitrary partial ordering defined by a closed pointed convex cone in the objective space. The effectiveness of these new methods is demonstrated with several test problems as well as with a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems is given and is applied to a bicriteria bilevel problem in medical engineering.

Detailangaben zum Buch - Adaptive Scalarization Methods in Multiobjective Optimization


EAN (ISBN-13): 9783642098048
ISBN (ISBN-10): 3642098045
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
256 Seiten
Gewicht: 0,392 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 01.07.2011 16:07:26
Buch zuletzt gefunden am 25.10.2017 02:16:33
ISBN/EAN: 3642098045

ISBN - alternative Schreibweisen:
3-642-09804-5, 978-3-642-09804-8


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