Robust design optimization is a modeling methodology, combined with a suite of computational tools, which is aimed to solve problems where some kind of uncertainty occurs in the data or in the model. This paper explores robust optimization complexity in the multiobjective case, describing a new approach by means of Polynomial Chaos expansions (PCE). The aim of this paper is to demonstrate that the use of PCE may help and speed up the optimization process if compared to standard approaches such as Monte Carlo and Latin Hypercube sampling.
@InProceedings{poles_et_al:DagSemProc.09041.7, author = {Poles, Silvia and Lovison, Alberto}, title = {{A Polynomial Chaos Approach to Robust Multiobjective Optimization}}, booktitle = {Hybrid and Robust Approaches to Multiobjective Optimization}, pages = {1--15}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2009}, volume = {9041}, editor = {Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.7}, URN = {urn:nbn:de:0030-drops-20009}, doi = {10.4230/DagSemProc.09041.7}, annote = {Keywords: Uncertainty Quantification, Multiobjective Robust Design, Monte Carlo, Latin Hypercube, Polynomial Chaos} }
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