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Synopsis
This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. Readers will benefit from the new adaptive methods and ideas for solving multiobjective optimization.
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From the Back Cover
This book presents new adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarizations. With the help of sensitivity results an adaptive parameter control is developed so that high-quality approximations of the efficient set are generated. These examinations are based on a general scalarization approach for arbitrary partial orderings defined by a closed pointed convex cone in the objective space. The application of the results to many other well-known scalarization
methods is also presented. Background material of multiobjective optimization and scalarization approaches is concisely summarized at the beginning. The effectiveness of these new methods is demonstrated by test problems and a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems.
Review
From the reviews:
"This monograph on vector optimization is besides theoretical basics ... dedicated to skillful approximations of the whole efficient set. ... This monograph shows experience of the author in the big field of the contents of this book and can be highly recommended to all who work (or want to work) with multicriteria problems." (Alfred Göpfert, Zentralblatt MATH, Vol. 1145, 2008)
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- PublisherSpringer
- Publication date2008
- ISBN 10 3540791574
- ISBN 13 9783540791577
- BindingHardcover
- LanguageEnglish
- Number of pages254
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Adaptive Scalarization Methods in Multiobjective Optimization.
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ISBN 10: 3540791574
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Adaptive Scalarization Methods in Multiobjective Optimization
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Springer Berlin Heidelberg Jun 2008, 2008
ISBN 10: 3540791574
ISBN 13: 9783540791577
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents new adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarizations. With the help of sensitivity results an adaptive parameter control is developed so that high-quality approximations of the efficient set are generated. These examinations are based on a general scalarization approach for arbitrary partial orderings defined by a closed pointed convex cone in the objective space. The application of the results to many other well-known scalarizationmethods is also presented. Background material of multiobjective optimization and scalarization approaches is concisely summarized at the beginning. The effectiveness of these new methods is demonstrated by test problems and a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems. 256 pp. Englisch. Seller Inventory # 9783540791577
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Adaptive Scalarization Methods in Multiobjective Optimization
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ISBN 10: 3540791574
ISBN 13: 9783540791577
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents new adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarizations. With the help of sensitivity results an adaptive parameter control is developed so that high-quality approximations of the efficient set are generated. These examinations are based on a general scalarization approach for arbitrary partial orderings defined by a closed pointed convex cone in the objective space. The application of the results to many other well-known scalarizationmethods is also presented. Background material of multiobjective optimization and scalarization approaches is concisely summarized at the beginning. The effectiveness of these new methods is demonstrated by test problems and a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems. Seller Inventory # 9783540791577
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Adaptive Scalarization Methods in Multiobjective Optimization
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ISBN 10: 3540791574
ISBN 13: 9783540791577
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Readers will benefit from new adaptive methods and ideas for solving multiobjective optimizationContains test problems and algorithms for many types of well-known scalarization approachesTheory.- Theoretical Basics of Multiobjective Optimi. Seller Inventory # 4901143
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