{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,18]],"date-time":"2025-12-18T05:21:36Z","timestamp":1766035296802,"version":"3.48.0"},"reference-count":42,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T00:00:00Z","timestamp":1765584000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Project of Guangxi","award":["Guike AD23023002"],"award-info":[{"award-number":["Guike AD23023002"]}]},{"name":"Special Fund for Scientific and Technological Bases and Talents of Guangxi","award":["Guike AD21075008"],"award-info":[{"award-number":["Guike AD21075008"]}]},{"name":"Innovation Project of GUET Graduate Education","award":["2025YCXS123"],"award-info":[{"award-number":["2025YCXS123"]}]},{"name":"Shandong Provincial Natural Science Foundation, China","award":["ZR2021QA053"],"award-info":[{"award-number":["ZR2021QA053"]}]},{"name":"General Projects of the National Social Science Fund of China","award":["23BTJ058"],"award-info":[{"award-number":["23BTJ058"]}]},{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12561044"],"award-info":[{"award-number":["12561044"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Marginally coupled designs (MCDs) are very suitable for computer experiments with both qualitative and quantitative factors. An MCD consisting of two subdesigns\u2014one for the qualitative factors and the other for the quantitative factors\u2014is said to be symmetrical or asymmetrical when the qualitative factor subdesign is equal-level or mixed-level, respectively. Although symmetrical MCDs have been studied extensively recently, investigations of asymmetrical MCDs are still relatively scarce. In this paper, based on space-filling symmetrical MCDs or space-filling Latin hypercube designs (LHDs), we propose four approaches to constructing a series of space-filling asymmetrical MCDs. The obtained asymmetrical MCDs can inherit the low-dimensional space-filling properties of these symmetrical MCDs or these LHDs. Moreover, the resulting asymmetrical MCDs are flexible in terms of their run sizes. A numerical study is conducted to compare and evaluate the performance of the proposed designs in computer experiments.<\/jats:p>","DOI":"10.3390\/e27121256","type":"journal-article","created":{"date-parts":[[2025,12,15]],"date-time":"2025-12-15T09:36:39Z","timestamp":1765791399000},"page":"1256","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Construction of Space-Filling Asymmetrical Marginally Coupled Designs"],"prefix":"10.3390","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-6244-118X","authenticated-orcid":false,"given":"Weiping","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China"},{"name":"Center for Applied Mathematics of Guangxi (GUET), Guilin 541004, China"},{"name":"Guangxi Academy of Artificial Intelligence, Nanning 530028, China"}]},{"given":"Miaomiao","family":"Meng","sequence":"additional","affiliation":[{"name":"School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8083-5144","authenticated-orcid":false,"given":"Min","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China"}]},{"given":"Xue","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Statistics, Tianjin University of Finance and Economics, Tianjin 300222, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,12,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Santner, T.J., Williams, B.J., and Notz, W.I. 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