Abstract
This paper deals with experimental planning and optimization in response surface methodology. It aims at addressing two main issues: i) the optimization of a split-plot design in the multiple response case by the use of a robust-design approach and ii) the related problem of weighting the responses according to the actual importance of these variables and the target values when performing simultaneous optimization. An application to the study of a Numerical Control machine in order to improve the accuracy of the measurement process and to reduce the measurement time is presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Berni, R. and C. Gonnelli. (2006). Planning and optimization of a numerical control machine in a multiple response case. Quality Reliability Engineering International 22, 517–526.
Berni, R. (2009). Response Surface Methodology and multiple response case: optimization measures, developments and comparisons. in G.I. Hayworth (ed.) Reliability Engineering Advances. New York: Nova Science Publishers, 287–304.
Box, G.E.P. and S. Jones (1992). Split-plot designs for robust product experimentation. Journal of Applied Statistics 19 , 3–26.
Cochran, W. G. and G. M. Cox (1957). Experimental Designs, 2nd edn. New York, Wiley.
Derringer, G. and R. Suich (1980). Simultaneous optimization of several response variables. Journal of Quality Technology 12, 214–219.
Khuri, A.I. and M. Conlon (1981). Simultaneous optimization of multiple responses represented by polynomial regression functions. Technometrics 23,363–375.
Miró-Quesada, G. and E. Del Castillo (2004). Two approaches for improving the dual response method in robust parameter design. Journal of Quality Technology 36, 155–168.
Robinson, T.J., W.A. Brenneman and W.R. Myers (2006). Process optimization via robust parameter design when categorical noise factors are present. Quality Reliability Engineering International 22, 307–320.
Vining,G.G., S. Kowalski and D.C. Montgomery (2005). Response surface designs within a split-plot structure. Journal of Quality Technology 37, 115–129.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Berni, R. (2010). Split-Plot and Robust Designs: Weighting and Optimization in the Multiple Response Case. In: Giovagnoli, A., Atkinson, A., Torsney, B., May, C. (eds) mODa 9 – Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2410-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-7908-2410-0_4
Published:
Publisher Name: Physica-Verlag HD
Print ISBN: 978-3-7908-2409-4
Online ISBN: 978-3-7908-2410-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)