εβ
ββ +++= 22110 xxy
If there is a curvature in the response surface, then a higher degree polynomial should be used. The approximating function with 2 variables is called a second-order model: εβ ββ ββ β ++++++= 2112 2 2222 2 111122110 x xxxxxy
In general all RSM problems use either one or the mixture of the both of these models. In each model, the levels of each factor are independent of the levels of other factors. When the levels of each factor are not independent then a mixture model is appropriate for designing an RMS model.
One of the important facts is whether the system contains a maximum or a minimum or a saddle point, which has a wide interest in industry. Therefore, RMS is being increasingly used in the industry. Also, in recent years more emphasis has been placed by the chemical and processing field for finding regions where there is an improvement in response instead of finding the optimum response (Myers, Khuri, and Carter 1989). In result, application and development of RMS will continue to be used in many areas in the future
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