A NEW EXPLORATION OF ROBUST DESIGN OF PARAMETER
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Graphical Abstract
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Abstract
Lety=f(\underset\simX, \underset\simZ) (1)where \underset\simX are the Controllable factors of experiment, \underset\simZ are the error factors. y, which has target value m, is the characteristic value of output. Assume that y1, y2, …, yn are the output values of a combination of the controllable factors, and V_e=\sum_i=1^n\left(y_i-m\right)^2,(2) where y1, y2, …, yn are independently and identically distributed with L=E(yi), σ=D(yi)(i=1, 2, …, n). Obviously, E(Ve)= (m-L)2+σ2 (3) From (3), we can see that the purpose of the design is to find out the best combination of controllable factors so that |m-L| and σ2 are minimum. This paper devides controllabe factors into two kinds. One has bigger effect upon σ2 than the other. Upon experimental analysis, the first kind which is fixed upon the level of smaller σ2 is considered at priority, the second kind which is considered as the faetors of adjust ment minimizes the systematic bias. We give two instances of simulated experiments and get better results.
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