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Nonlinear Multiobjective Optimization
A Generalized Homotopy Approach
Taschenbuch von Claus Hillermeier
Sprache: Englisch

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Beschreibung
Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization.
The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.
Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization.
The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.
Inhaltsverzeichnis
1 Introduction.- 2 Vector Optimization in Industrial Applications.- 3 Principles and Methods of Vector Optimization.- 4 The Connection with Scalar-Valued Optimization.- 5 The Manifold of Stationary Points.- 6 Homotopy Strategies.- 7 Numerical Results.
Details
Erscheinungsjahr: 2012
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: International Series of Numerical Mathematics
Inhalt: ix
135 S.
ISBN-13: 9783034895019
ISBN-10: 3034895011
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hillermeier, Claus
Auflage: Softcover reprint of the original 1st ed. 2001
Hersteller: Birkhäuser Basel
Springer Basel AG
International Series of Numerical Mathematics
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 9 mm
Von/Mit: Claus Hillermeier
Erscheinungsdatum: 10.11.2012
Gewicht: 0,236 kg
Artikel-ID: 129466292
Inhaltsverzeichnis
1 Introduction.- 2 Vector Optimization in Industrial Applications.- 3 Principles and Methods of Vector Optimization.- 4 The Connection with Scalar-Valued Optimization.- 5 The Manifold of Stationary Points.- 6 Homotopy Strategies.- 7 Numerical Results.
Details
Erscheinungsjahr: 2012
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: International Series of Numerical Mathematics
Inhalt: ix
135 S.
ISBN-13: 9783034895019
ISBN-10: 3034895011
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hillermeier, Claus
Auflage: Softcover reprint of the original 1st ed. 2001
Hersteller: Birkhäuser Basel
Springer Basel AG
International Series of Numerical Mathematics
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 235 x 155 x 9 mm
Von/Mit: Claus Hillermeier
Erscheinungsdatum: 10.11.2012
Gewicht: 0,236 kg
Artikel-ID: 129466292
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