Development of a Dual Response Optimization Model under Non-standard Experimental Design Situations

Akın Özdemir
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Abstract

The design of experiments is a highly effective offline quality improvement method to optimize the existing and new processes or products. In the literature, standard experimental situations have been paid a lot of attention. In a number of nonstandard experimental situations, special experimental design techniques should be considered in order to conduct an experiment for design factors. Indeed, an I-optimal design, a computer-generated special experimental design, is a good choice to predict the mean and variance responses under non-standard experimental design situations. In this research work, an I-optimal design is selected to generate experimental design points for a non-standard experimental situation. Then, an I-optimal design-based dual response optimization model is proposed in order to obtain an optimum operating condition for design factors while minimizing the process variance as small as possible. Comparison studies are also conducted. Finally, a numerical example is conducted in order to illustrate the effectiveness of the proposed optimization model.
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非标准试验设计条件下双响应优化模型的建立
实验设计是一种高效的离线质量改进方法,可以优化现有的和新的工艺或产品。在文献中,标准的实验情况得到了很多关注。在一些非标准的实验情况下,为了进行设计因素的实验,需要考虑特殊的实验设计技术。事实上,I-optimal设计,即计算机生成的特殊实验设计,是在非标准实验设计情况下预测均值和方差响应的良好选择。在本研究中,针对非标准实验情况,选择i -最优设计生成实验设计点。然后,提出了一种基于i -最优设计的双响应优化模型,以获得设计因素的最优运行条件,同时使过程方差尽可能小。还进行了比较研究。最后,通过数值算例验证了所提优化模型的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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