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Birkhäuser

Nonlinear Multiobjective Optimization

A Generalized Homotopy Approach

  • Book
  • © 2001

Overview

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 135)

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Table of contents (7 chapters)

Keywords

About this book

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.

Authors and Affiliations

  • Siemens AG, München (Perlach), Germany

    Claus Hillermeier

Bibliographic Information

  • Book Title: Nonlinear Multiobjective Optimization

  • Book Subtitle: A Generalized Homotopy Approach

  • Authors: Claus Hillermeier

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8280-4

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Basel 2001

  • Hardcover ISBN: 978-3-7643-6498-4Published: 01 January 2001

  • Softcover ISBN: 978-3-0348-9501-9Published: 10 November 2012

  • eBook ISBN: 978-3-0348-8280-4Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: IX, 135

  • Topics: Applications of Mathematics

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