Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Vector Optimization (VECTOROPT)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
-
Front Matter
-
Numerical Methods and Results
-
Multiobjective Bilevel Optimization
-
Back Matter
Keywords
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)
Authors and Affiliations
Bibliographic Information
Book Title: Adaptive Scalarization Methods in Multiobjective Optimization
Authors: Gabriele Eichfelder
Series Title: Vector Optimization
DOI: https://doi.org/10.1007/978-3-540-79159-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-79157-7Published: 04 June 2008
Softcover ISBN: 978-3-642-09804-8Published: 08 October 2010
eBook ISBN: 978-3-540-79159-1Published: 06 May 2008
Series ISSN: 1867-8971
Series E-ISSN: 1867-898X
Edition Number: 1
Number of Pages: XIII, 241
Topics: Theory of Computation, Operations Research/Decision Theory, Operations Research, Management Science, Discrete Mathematics in Computer Science