Combined Arrays with Minimum Number of Runs and Maximum Estimation Efficiency

Abstract

Robust parameter design, originally proposed by Taguchi [Taguchi, G. (1987). System of Experimental Design. Vol. I and II. New York: UNIPUB], is an off-line production technique for reducing variation and improving product's quality by using the product arrays. However, the use of the product arrays results in an exorbitant number of runs. To overcome the drawbacks of the product array several scientists proposed the use of combined arrays, where the control and noise factors are combined in a single array.

Key Words:

• Robust parameter design
• Combined array
• Control and noise factors
• D-Optimal designs
• Gröbner bases
• Estimable effects

Mathematics Subject Classification:

• Primary 62K15
• Secondary 62K05

Acknowledgments