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Scalarization Methods for Multi-Objective Structural Optimization

  • Scalarization methods are a category of multiobjective optimization (MOO) methods. These methods allow the usage of conventional single objective optimization algorithms, as scalarization methods reformulate the MOO problem into a single objective optimization problem. The scalarization methods analysed within this thesis are the Weighted Sum (WS), the Epsilon-Constraint (EC), and the MinMax (MM)Scalarization methods are a category of multiobjective optimization (MOO) methods. These methods allow the usage of conventional single objective optimization algorithms, as scalarization methods reformulate the MOO problem into a single objective optimization problem. The scalarization methods analysed within this thesis are the Weighted Sum (WS), the Epsilon-Constraint (EC), and the MinMax (MM) method. After explaining the approach of each method, the WS, EC and MM are applied, a-posteriori, to three different examples: to the Kursawe function; to the ten bar truss, a common benchmark problem in structural optimization; and to the metamodel of an aero engine exit module. The aim is to evaluate and compare the performance of each scalarization method that is examined within this thesis. The evaluation is conducted using performance metrics, such as the hypervolume and the generational distance, as well as using visual comparison. The application to the three examples gives insight into the advantages and disadvantages of each method, and provides further understanding of an adequate application of the methods concerning high dimensional optimization problems.show moreshow less

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Metadaten
Document Type:Master's Thesis
Author:M.Sc. Natalie von Butler
DOI (Cite-Link):https://doi.org/10.25643/bauhaus-universitaet.4010Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20191030-40106Cite-Link
Advisor:Prof. Dr. rer. nat. Tom LahmerORCiDGND, Dr.-Ing. habil. Thomas MostORCiDGND
Language:English
Date of Publication (online):2019/10/29
Date of first Publication:2019/05/02
Date of final exam:2019/05/27
Release Date:2019/10/30
Publishing Institution:Bauhaus-Universität Weimar
Granting Institution:Bauhaus-Universität Weimar, Fakultät Bauingenieurwesen
Contributing Corporation:Dynardo GmbH
Institutes:Fakultät Bauingenieurwesen / Juniorprofessur Stochastik und Optimierung
Pagenumber:178
Tag:Multiobjective Optimization; Scalarization Methods; Structural Optimization
GND Keyword:Mehrkriterielle Optimierung; Gestaltoptimierung
Dewey Decimal Classification:500 Naturwissenschaften und Mathematik
600 Technik, Medizin, angewandte Wissenschaften
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
56 Bauwesen / 56.03 Methoden im Bauingenieurwesen
Licence (German):License Logo Creative Commons 4.0 - Namensnennung-Weitergabe unter gleichen Bedingungen (CC BY-SA 4.0)