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Book synopsis

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.

Book details

Book category Books in English Computing & information technology Computer science Mathematical theory of computation

• Full title: Adaptive Scalarization Methods in Multiobjective Optimization
• Author: Gabriele Eichfelder
• Language: English
• Binding: Hardback
• Number of pages: 241
• EAN: 9783540791577
• ISBN: 3540791574
• ID: 01570168
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1190 g
• Dimensions: 235 × 155 × 18 mm
• Date of publishing: 04. June 2008

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