Adaptive Scalarization Methods in Multiobjective Optimization

• Main Author: Eichfelder, Gabriele (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Vector Optimization,
• Subjects: Computer science.; Operations research.; Decision making.; Computers.; Computer science > Mathematics.; Management science.; Computer Science.; Theory of Computation.; Operation Research/Decision Theory.; Operations Research, Management Science.; Discrete Mathematics in Computer Science.
• Physical Description: XIII, 241 p. online resource.
• ISBN: 9783540791591
• ISSN: 1867-8971

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.