質量管理相關知識簡介(英文版)(ppt 30頁)

質量管理相關知識簡介內容提要：
What is Response Surface Methodology (RSM)
Response Surface Methodology (RSM) is a collection of mathematical and statistical techniques that are useful for the modeling and analysis of problems in which a response of interest is influenced by several quantifiable variables (or factors), with the objective of optimizing the response.
Response Surface
The yield of a process (Y) was determined to be influenced by the amount of nitrogen (X1) and phosphoric acid (X2), i.e.
Y = ?(X1, X2) + ?
where ? is the noise or error observed in the response.

If we denote the expected response by
E(Y) = ?(X1, X2) = ?
then the surface represented by
? = ?(X1, X2)
is called a response surface.
Response Surface Designs
Designs for fitting response surfaces are called response
surface designs.
When choosing a design
identify the number of control factors under investigation
determine the limiting number of experimental runs
ensure adequate coverage of the region of interest
determine the impact of economics – cost, time, availability, etc
Response Surface Methods are used
to examine the relationship between one or more responses and a set of quantifiable factors
to search for the setting of critical control factors that would optimize the response
when curvature in the response surface is suspected

..............................