Compromise ascent directions for multiple-response applications
Article first published online: 30 MAR 2011
Copyright © 2011 John Wiley & Sons, Ltd.
Quality and Reliability Engineering International
Volume 27, Issue 8, pages 1107–1118, December 2011
How to Cite
Edwards, D. J. and Fuerte, J. N. (2011), Compromise ascent directions for multiple-response applications. Qual. Reliab. Engng. Int., 27: 1107–1118. doi: 10.1002/qre.1199
- Issue published online: 18 NOV 2011
- Article first published online: 30 MAR 2011
- multiple responses;
- non-central composite design;
- posterior expectation;
- posterior predictive distribution;
- steepest ascent
A process or system under study often requires the measurement of multiple responses. The optimization of multiple response variables has received considerable attention in the literature with the majority focusing on locating optimal operating conditions within the current experimental region and thus often occurs in the later stages of experimentation. This article focuses instead on the initial experiment and the location of additional experimental runs if the region of interest shifts. Considerable trade-off is often required in the multiple response context. In order to account for uncertainty in the model parameters and correlations among the responses, we propose the computation of Bayesian reliabilities to determine optimal factor settings for future experimental runs. The approach will be described in detail for two common design follow-up strategies: steepest ascent (descent) and shifting factor levels. Illustrative examples are provided for each application. Copyright © 2011 John Wiley & Sons, Ltd.