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空间填充不对称的边际合设计的建造
Weiping Zhou1,2,3, Miaomiao Meng1, Min Li4
1School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China.
Entropy (Basel, Switzerland)
|December 24, 2025
概括
本研究介绍了四种创新方法,用于创建填充空间的不对称边际合设计 (MCD),以混合水平的定性因素增强计算机实验. 这些新的不对称的MCD提供了灵活性,并保留了有益的填充空间的特性.
科学领域:
- 统计 统计 统计 统计
- 计算机科学 计算机科学
- 实验设计 实验设计
背景情况:
- 边际合设计 (MCD) 对于涉及定性和定量因素的计算机实验是有效的.
- 对称的MCD,具有相同水平的定性子设计,已经得到了很好的研究,但不对称的MCD,具有混合水平的定性子设计,仍未得到充分探索.
研究的目的:
- 为填充空间的不对称MCDs提出新的建筑方法.
- 为了解决计算机实验中对不对称的MCD研究的稀缺性.
主要方法:
- 开发了四种不同的方法来构建不对称的MCD.
- 作为基础,利用现有的填充空间的对称MCD和拉丁式超立方体设计 (LHD).
- 进行了数值研究,以评估拟议设计的性能.
主要成果:
- 成功生成了一系列填充空间的不对称MCD.
- 证明了新的不对称的MCD继承了理想的低维空间填充特性.
- 证实了由此产生的不对称的MCD在运行大小方面的灵活性.
结论:
- 提出的方法为创建有效的不对称MCD用于计算机实验提供了有价值的工具.
- 新的设计提供了一个灵活和高效的替代方案,用于混合水平的定性因素的实验.
- 对不对称的MCD进行进一步的研究是有必要的,以充分利用它们在复杂的实验环境中的潜力.
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