Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach: 135 (International Series of Numerical Mathematics, 135) - Hardcover

Hillermeier, Claus

Hardcover

ISBN 10: 376436498X ISBN 13: 9783764364984

Publisher: Birkhäuser, 2001

Synopsis

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.

About this title

Synopsis

Arguably, many industrial optimization problems are of the multiobjective type. This work, after providing a survey of the state of the art in multiobjective optimization, gives insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the method is demonstrated by solving two real-life problems of industrial optimization. The book presents results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.

Edition details

• Publisher: Birkhäuser
• Publication date: 2001
• Language: English
• ISBN 10: 376436498X
• ISBN 13: 9783764364984
• Binding: Hardcover
• Number of pages: 144