Title
An Integrative Loss Function Approach to Multi-Response Optimization.
Abstract
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. Copyright (C) 2013 John Wiley & Sons, Ltd.
Year
DOI
Venue
2015
10.1002/qre.1571
QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL
Keywords
Field
DocType
loss function,model uncertainty,location and dispersion performances,confidence interval,specification limit
Econometrics,Mathematical optimization,Mean squared error,Huber loss,Statistics,Confidence interval,Mathematics
Journal
Volume
Issue
ISSN
31
2
0748-8017
Citations 
PageRank 
References 
5
0.48
9
Authors
3
Name
Order
Citations
PageRank
Linhan Ouyang181.24
Yizhong Ma292.61
Jai-Hyun Byun361.88