Nonlinear Multiobjective Optimization
Subtitle: A Generalized Homotopy Approach
By: by Claus Hillermeier
Series: International Series of Numerical Mathematics -- 135; International series of numerical mathematics -- 135.
Publisher: Birkhäuser Basel; Imprint: Birkhäuser
Published: 2001
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 135
ISBN-13: 9783034895019; 9783034882804
Subjects: Mathematics
Description: 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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