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Adaptive Scalarization Methods in Multiobjective Optimization
Kategorie Beschreibung
036aXA-DE‡XA-DE-BE
037beng
077a281689466 Druckausg.: ‡Eichfelder, Gabriele, 1977 - : Adaptive scalarization methods in multiobjective optimization
087q978-3-540-79157-7
100 Eichfelder, Gabriele
331 Adaptive Scalarization Methods in Multiobjective Optimization
410 Berlin ; Heidelberg
412 Springer
425 2008
425a2008
433 Online-Ressource (XIII, 241 p, online resource)
451bVector Optimization
501 Literaturverz. S. 219 - 238
517 Theoretical Basics of Multiobjective Optimization; Scalarization Approaches; Sensitivity Results for the Scalarizations; Adaptive Parameter Control; Numerical Results; Application to Intensity Modulated Radiotherapy; Application to Multiobjective Bilevel Optimization;
527 Druckausg.: ‡Eichfelder, Gabriele, 1977 - : Adaptive scalarization methods in multiobjective optimization
540aISBN 978-3-540-79159-1
700 |UY
700 |UYA
700 |COM014000
700 |COM031000
700 |*90-02
700 |90C29
700 |90C31
700 |90C59
700b|004.0151
700b|519.6
700b|006.3
700b|510
700c|QA75.5-76.95
700g1271512289 QH 422
700g127088123X SK 870
700m|519.7
750 This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. Readers will benefit from the new adaptive methods and ideas for solving multiobjective optimization.
753 This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. With the help of sensitivity results an adaptive parameter control is developed such that high-quality approximations of the efficient set are generated. These examinations are based on a special scalarization approach, but the application of these results to many other well-known scalarization methods is also presented. Thereby very general multiobjective optimization problems are considered with an arbitrary partial ordering defined by a closed pointed convex cone in the objective space. The effectiveness of these new methods is demonstrated with several test problems as well as with a recent problem in intensity-modulated radiotherapy. The book concludes with a further application: a procedure for solving multiobjective bilevel optimization problems is given and is applied to a bicriteria bilevel problem in medical engineering.
902s 214240622 Mehrkriterielle Optimierung
902f 00000129 Online-Publikation
907s 214240622 Mehrkriterielle Optimierung
012 283374764
081 Adaptive Scalarization Methods in Multiobjective Optimization
100 Springer E-Book
125aElektronischer Volltext - Campuslizenz
655e$uhttp://dx.doi.org/10.1007/978-3-540-79159-1
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