An Integrative Loss Function Approach to Multi-Response Optimization

作者：Ouyang Linhan; Ma Yizhong; Byun Jai Hyun^*

来源：Quality and Reliability Engineering International, 2015, 31(2): 193-204.

DOI：10.1002/qre.1571

• loss function
• model uncertainty
• location and dispersion performances
• confidence interval
• specification limit

Loss function approach is effective for multi-response optimization. However, previous loss function approaches ignore the dispersion performance of squared error loss and model uncertainty. In this paper, a weighted loss function is proposed to simultaneously consider the location and dispersion performances of squared error loss to optimize correlated multiple responses with model uncertainty. We propose an approach to minimize the weighted loss function under the constraint that the confidence intervals of future predictions for the multiple responses should be contained in specification limits of the responses. An example is illustrated to verify the effectiveness of the proposed method. The results show that the proposed method can achieve reliable optimal operating condition under model uncertainty.

• 出版日期2015-3
• 单位南京理工大学