The Well Established Quality Improvement Method

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The well-established quality improvement method, response surface methodology (RSM), is a powerful and efficient technique to find an optimum operating condition of a response including systematic and continuous steps in the quality engineering literature. The RSM combines both optimization and statistical methods for designing, analyzing, modelling, and solving an optimal controllable factor setting in many engineering applications to seek a second-order fitted model for the response with three main properties, such as a sequential, efficient and flexible design. The rotatability concept is also taken into consideration the design criterion in the RSM to provide the prediction variance assumption in the bounded convex design space and it…show more content…
Robust parameter design (RPD), which combines the RSM and optimization techniques in the context of mathematical programming methods to obtain a desired response by using quality characteristics, such as the nominal-the-best (N-type), the larger-the-best (L-type) or the smaller-the-best (S-type) types, have been paid a lot of attention to the research community for finding continuous-valued variables. The RPD was originally proposed as the N-type quality characteristic in the context of the signal-to-noise (SNR) by Taguchi (1987). Taguchi’s fundamental idea is that the process mean is at the desired target value while the process variance is as small as possible. On the other hand, Leon et al. (1987), Box (1988), Box et al. (1988), Nair (1992), and Tsui (1992) discussed Taguchi’s main idea and criticized the quality characteristics involving both the mean and variance of the response. Steinberg and Bursztyn (1998) also debated a wide spectrum investigation on the Taguchi’s offline quality control method. In addition to these, Grize (1995) and Robinson et al. (2004), Park et al. (2006) and Arvidsson and Gremyr (2008) also provided reviews of the RPD models.
In addition to Taguchi’s RPD model, Vining and Myers (1990) proposed an RPD model combining with the RSM by using the dual response model (DRM) with the zero-bias approach, and they also incorporated Lagrange multiplier, quadratic
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