Nonlinear Multiobjective Optimization: A Generalized Homotopy Approach

✍ Scribed by Claus Hillermeier (auth.)

Publisher: Birkhäuser Basel
Year: 2001
Tongue: English
Leaves: 138
Series: International Series of Numerical Mathematics 135
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ 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.

✦ Table of Contents

Front Matter....Pages I-2
Introduction....Pages 3-8
Vector Optimization in Industrial Applications....Pages 9-14
Principles and Methods of Vector Optimization....Pages 15-43
The Connection with Scalar-Valued Optimization....Pages 45-63
The Manifold of Stationary Points....Pages 65-86
Homotopy Strategies....Pages 87-107
Numerical Results....Pages 109-128
Back Matter....Pages 129-135

✦ Subjects

Mathematics, general

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