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Approximating solution spaces as a product of polygons
JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift)
 
ID 4626755
Author(s) Harbrecht, Helmut; Tröndle, Dennis; Zimmermann, Markus
Author(s) at UniBasel Harbrecht, Helmut
Tröndle, Dennis Thassilo
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.

Publisher Springer
ISSN/ISBN 1615-147X
Full Text on edoc
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