Nonlinear multiobjective optimization : a generalized homotopy approach / Claus Hillermeier.
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...
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| Online Access: |
Full Text (via Springer) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Basel :
Springer Basel AG,
©2001.
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| Series: | International series of numerical mathematics ;
v. 135. |
| Subjects: |
| Summary: | 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. |
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| Item Description: | Softcover reprint of the hardcover 1st edition 2001. Originally published by Birkhäuser Verlag, in 2001. |
| Physical Description: | 1 online resource (135 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 129-132) and index. |
| ISBN: | 9783034882804 3034882807 |