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Nonlinear Multiobjective Optimization : A Generalized Homotopy Approach.
・ISBN 978-3-7643-6498-4 hard EUR 49.99
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| 著者・編者 | Hillermeier, Claus, |
|---|---|
| シリーズ | International Series of Numerical Mathematics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2001 |
| ページ数 | 135 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-22739＞ |
解説
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.