质量管理相关知识简介(英文版)(ppt 30页)

质量管理相关知识简介内容提要：
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   =   ƒ(X1, X2) + 
where  is the noise or error observed in the response.

If we denote the expected response by
  E(Y)   = ƒ(X1, X2)   =   
then the surface represented by
      =   ƒ(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

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