Adaptive Scalarization Methods in Multiobjective Optimization (Vector Optimization)

Eichfelder, Gabriele

ISBN 10: 3540791574 / ISBN 13: 9783540791577

Published by Springer, 2008

About this Item

Seller Inventory # SHUB270916

Bibliographic Details

• Title: Adaptive Scalarization Methods in Multiobjective Optimization (Vector Optimization)
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 3540791574
• ISBN 13: 9783540791577
• Binding: Hardcover
• Condition: New

About this title

Synopsis

Theory.- Theoretical Basics of Multiobjective Optimization.- Scalarization Approaches.- Sensitivity Results for the Scalarizations.- Numerical Methods and Results.- Adaptive Parameter Control.- Numerical Results.- Application to Intensity Modulated Radiotherapy.- Multiobjective Bilevel Optimization.- Application to Multiobjective Bilevel Optimization.

From the Back Cover

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.