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A Compromise Experimental Design Method for Parametric Polynomial Response Surface Approximations

机译:参数多项式响应面逼近的折衷实验设计方法

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摘要

This study presents a compromise approach to augmentation of experimental designs, necessitated by the expense of performing each experiment (computational or physical), that yields higher quality parametric polynomial response surface approximations than traditional augmentation. Based on the D-optimality criterion as a measure of experimental design quality, the method simultaneously considers several polynomial models during the experimental design, resulting in good quality designs for all models under consideration, as opposed to good quality designs only for lower-order models, as in the case of traditional augmentation. Several numerical examples and an engineering example are presented to illustrate the efficacy of the approach.
机译:这项研究提出了一种折衷的方法来增加实验设计,这是由执行每个实验(计算或物理)的费用所必需的,与传统的方法相比,该方法可以产生更高质量的参数多项式响应面近似。基于D最优性标准作为衡量实验设计质量的方法,该方法在实验设计期间同时考虑了多个多项式模型,从而为所有模型提供了高质量的设计,而仅针对低阶模型的高质量设计,例如传统增强。给出了几个数值示例和一个工程示例以说明该方法的有效性。

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