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Vector Optimization

Adaptive Scalarization Methods in Multiobjective Optimization

Authors: Eichfelder, Gabriele

  • Readers will benefit from new adaptive methods and ideas for solving multiobjective optimization
  • Contains test problems and algorithms for many types of well-known scalarization approaches
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  • ISBN 978-3-540-79159-1
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Hardcover $159.00
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  • ISBN 978-3-540-79157-7
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Softcover $159.00
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About this book

This book presents new adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarizations. With the help of sensitivity results an adaptive parameter control is developed so that high-quality approximations of the efficient set are generated. These examinations are based on a general scalarization approach for arbitrary partial orderings defined by a closed pointed convex cone in the objective space. The application of the results to many other well-known scalarization
methods is also presented. Background material of multiobjective optimization and scalarization approaches is concisely summarized at the beginning. The effectiveness of these new methods is demonstrated by test problems and a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems.

Reviews

From the reviews:

"This monograph on vector optimization is besides theoretical basics … dedicated to skillful approximations of the whole efficient set. … This monograph shows experience of the author in the big field of the contents of this book and can be highly recommended to all who work (or want to work) with multicriteria problems." (Alfred Göpfert, Zentralblatt MATH, Vol. 1145, 2008)


Table of contents (7 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-540-79159-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-79157-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-09804-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Adaptive Scalarization Methods in Multiobjective Optimization
Authors
Series Title
Vector Optimization
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-540-79159-1
DOI
10.1007/978-3-540-79159-1
Hardcover ISBN
978-3-540-79157-7
Softcover ISBN
978-3-642-09804-8
Series ISSN
1867-8971
Edition Number
1
Number of Pages
XIII, 241
Topics