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Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach
Paperback
Series: International Numerical Mathematics, Book 135
Medical ReferenceTechnology & EngineeringGeneral Mathematics
ISBN13: 9783034895019
Publisher: Springer Nature
Published: Nov 10 2012
Pages: 135
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English
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.
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