Construction of marginally coupled designs with mixed-level qualitative factors
Marginally coupled designs (MCDs) with more economical run sizes than sliced Latin hypercube designs were widely used in computer experiments with both quantitative and qualitative factors. However, the construction of MCDs with mixed-level qualitative factors was still very challenging. We develope...
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241610 |
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| author | Weiping Zhou Wan He Wei Wang Shigui Huang |
| author_facet | Weiping Zhou Wan He Wei Wang Shigui Huang |
| author_sort | Weiping Zhou |
| collection | DOAJ |
| description | Marginally coupled designs (MCDs) with more economical run sizes than sliced Latin hypercube designs were widely used in computer experiments with both quantitative and qualitative factors. However, the construction of MCDs with mixed-level qualitative factors was still very challenging. We developed five algorithms to generate MCDs with mixed-level qualitative factors, which were very easy to implement. In some of the MCDs constructed in this paper, the quantitative factor designs have two- or higher-dimensional space-filling properties compared to the existing MCDs, where the qualitative factors were mixed-level. Moreover, the resulting MCDs had more flexible run sizes than the existing MCDs with mixed-level qualitative factors. |
| format | Article |
| id | doaj-art-73eac234ffa74a8e826b6d7d6e065147 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-73eac234ffa74a8e826b6d7d6e0651472025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-11-01912337313375510.3934/math.20241610Construction of marginally coupled designs with mixed-level qualitative factorsWeiping Zhou0Wan He1Wei Wang2Shigui Huang3School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaMarginally coupled designs (MCDs) with more economical run sizes than sliced Latin hypercube designs were widely used in computer experiments with both quantitative and qualitative factors. However, the construction of MCDs with mixed-level qualitative factors was still very challenging. We developed five algorithms to generate MCDs with mixed-level qualitative factors, which were very easy to implement. In some of the MCDs constructed in this paper, the quantitative factor designs have two- or higher-dimensional space-filling properties compared to the existing MCDs, where the qualitative factors were mixed-level. Moreover, the resulting MCDs had more flexible run sizes than the existing MCDs with mixed-level qualitative factors.https://www.aimspress.com/article/doi/10.3934/math.20241610resolvable orthogonal arraysliced latin hypercube designspace-fillingstratificationdifference scheme |
| spellingShingle | Weiping Zhou Wan He Wei Wang Shigui Huang Construction of marginally coupled designs with mixed-level qualitative factors AIMS Mathematics resolvable orthogonal array sliced latin hypercube design space-filling stratification difference scheme |
| title | Construction of marginally coupled designs with mixed-level qualitative factors |
| title_full | Construction of marginally coupled designs with mixed-level qualitative factors |
| title_fullStr | Construction of marginally coupled designs with mixed-level qualitative factors |
| title_full_unstemmed | Construction of marginally coupled designs with mixed-level qualitative factors |
| title_short | Construction of marginally coupled designs with mixed-level qualitative factors |
| title_sort | construction of marginally coupled designs with mixed level qualitative factors |
| topic | resolvable orthogonal array sliced latin hypercube design space-filling stratification difference scheme |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241610 |
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