Adaptive Scalarization Methods in Multiobjective Optimization
By: Eichfelder, Gabriele [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Vector Optimization: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.Description: XIII, 241 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540791591.Subject(s): 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 ScienceDDC classification: 004.0151 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK3177 |
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.
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.
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