質(zhì)量管理相關(guān)知識簡介(英文版)-展示頁
2025-03-09 00:37本頁面
【正文】 ing 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. 2 Response Surface The yield of a process (Y) was determined to be influenced by the amount of nitrogen (X1) and phosphoric acid (X2), . 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. 3 Response Surface Plots Response Surface Plots show how a response variable relates to two quantifiable factors based on a model equation. 210 27P h o s p h o r i c A c i d89 11 01 11 21 31 4 101Y i e l d 22N i t r o g e nS u r f a c e P l o t o f Y i e l d8 . 2 9 . 2 1 0 . 2 1 1 . 2 1 2 . 2 1 3 . 2 10 110 1N i t r o g e nPhosphoric AcidC o n t o u r P l o t o f Y i e l d4 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 5 Response Surface Methodology – Why? 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 6 Response Surface Methodology – When? Response Surface Methods may be employed to ? find factor settings that produce the “best” response
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