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Affordable experimental design with tens of variables

机译:经济实惠的实验设计,包含数十个变量

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Simulation models have importantly expanded the analysis capabilities in engineering designs. With larger computing power, more variables can be modeled to estimate their effect in ever larger number of performance measures. Statistical experimental designs, however, are still somewhat focused on the variation of less than about a dozen variables. In this work, an effort to identify strategies to deal with tens of variables is undertaken. The aim is to be able to generate designs capable to estimate full quadratic models using simply a personal computer. Quadratic models are interesting because they can support statistical testing, provide competitive approximating models, and make optimization problems tractable. Several strategies are contrasted: (1) generate designs with random numbers, (2) use designs already available in the literature, (3) generate designs under a clustering strategy, and (4) generate designs using random-walk methods. The first strategy is an easy way to generate a design, although the statistical properties cannot be controlled. The second strategy does focus on statistical properties, but some of the designs become rapidly inconvenient to generate when increasing the number of variables. The third and fourth strategies are investigated as novel possibilities to generate designs in a convenient manner.
机译:仿真模型极大地扩展了工程设计中的分析功能。借助更大的计算能力,可以对更多变量进行建模,以估计其在越来越多的性能指标中的作用。然而,统计实验设计仍然在一定程度上侧重于少于大约十二个变量的变化。在这项工作中,我们努力确定应对数十种变量的策略。目的是能够仅使用个人计算机来生成能够估计完整二次模型的设计。二次模型很有趣,因为它们可以支持统计测试,提供具有竞争力的近似模型,并使优化问题易于解决。对比了几种策略:(1)生成具有随机数的设计;(2)使用文献中已有的设计;(3)在聚类策略下生成设计;(4)使用随机游走方法生成设计。第一种策略是生成设计的简便方法,尽管无法控制统计属性。第二种策略确实集中在统计属性上,但是当增加变量数量时,某些设计会很快变得不便生成。第三和第四种策略被研究为以方便的方式生成设计的新颖可能性。

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