쌍대반응표면최적화를 위한 가중평균제곱오차 최소화법: 공정능력지수 기반의 가중치 결정
Weighted Mean Squared Error Minimization Approach to Dual Response Surface Optimization: A Process Capability Indices-Based Weighting Procedure
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Purpose: The purpose of this paper is to develop a systematic weighting procedure based on process capability indices method applying weighted mean squared error minimization (WMSE) approach to dual response surface optimization. Methods: The proposed procedure consists of 5 steps. Step 1 is to prepare the alternative vectors. Step2 is to rank the vectors based on process capability indices in a pairwise manner. Step 3 is to transformthe pairwise rankings into the inequalities between the corresponding WMSE values. Step 4 is to obtain theweight value by calculating the inequalities. Or, step 5 is to obtain the weight value by minimizing the totalviolation amount, in case there is no weight value in step 4. Results: The typical 4 process capability indices, namely, Cp, Cpk, Cpm, Cpmk are utilized for the proposedprocedure. Conclusion: The proposed procedure can provide a weight value in WMSE based on the objective qualityperformance criteria, not on the decision maker's subjective judgments or experiences.
Abstract
Purpose: The purpose of this paper is to develop a systematic weighting procedure based on process capability indices method applying weighted mean squared error minimization (WMSE) approach to dual response surface optimization. Methods: The proposed procedure consists of 5 steps. Step 1 is to prepare the alternative vectors. Step2 is to rank the vectors based on process capability indices in a pairwise manner. Step 3 is to transformthe pairwise rankings into the inequalities between the corresponding WMSE values. Step 4 is to obtain theweight value by calculating the inequalities. Or, step 5 is to obtain the weight value by minimizing the totalviolation amount, in case there is no weight value in step 4. Results: The typical 4 process capability indices, namely, Cp, Cpk, Cpm, Cpmk are utilized for the proposedprocedure. Conclusion: The proposed procedure can provide a weight value in WMSE based on the objective qualityperformance criteria, not on the decision maker's subjective judgments or experiences.
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