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Approximating solution spaces as a product of polygons
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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ID |
4626755 |
Author(s) |
Harbrecht, Helmut; Tröndle, Dennis; Zimmermann, Markus |
Author(s) at UniBasel |
Harbrecht, Helmut Tröndle, Dennis Thassilo
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Year |
2021 |
Title |
Approximating solution spaces as a product of polygons |
Journal |
Structural and multidisciplinary optimization |
Volume |
64 |
Number |
4 |
Pages / Article-Number |
2225–2242 |
Keywords |
solution spaces, 2d-spaces, polygons |
Abstract |
Solution spaces are regions of good designs in a potentially high-dimensional design space. Good designs satisfy by definition all requirements that are imposed on them as mathematical constraints. In previous work, the complete solution space was approximated by a hyper-rectangle, i.e., the Cartesian product of permissible intervals for design variables. These intervals serve as independent target regions for distributed and separated design work. For a better approximation, i.e., a larger resulting solution space, this article proposes to compute the Cartesian product of two-dimensional regions, so-called 2d-spaces, that are enclosed by polygons. 2d-spaces serve as target regions for pairs of variables and are independent of other 2d-spaces. A numerical algorithm for non-linear problems is presented that is based on iterative Monte Carlo sampling.
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Publisher |
Springer |
ISSN/ISBN |
1615-147X |
Full Text on edoc |
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Digital Object Identifier DOI |
10.1007/s00158-021-02979-z |
ISI-Number |
WOS:000676049700002 |
Document type (ISI) |
Article |
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28/03/2024
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