Nonlinear Multiobjective Optimization

Claus Hillermeier

ISBN 10: 3034895011 / ISBN 13: 9783034895019

Editore: Springer, Basel, Birkhäuser Basel, Birkhäuser Nov 2012, 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 135 pp. Englisch. Codice articolo 9783034895019

Dati bibliografici

Titolo: Nonlinear Multiobjective Optimization

Casa editrice: Springer, Basel, Birkhäuser Basel, Birkhäuser Nov 2012

Data di pubblicazione: 2012

Legatura: Taschenbuch

Condizione: Neu

Descrizione articolo

Riassunto:

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.

Contenuti:

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.