A Novel Design of Experiments for Global Optimization of Light-Gauge Steel Wall Sound Isolation Systems

Abstract:

In this paper, we develop a novel algorithm that determines the overall best parameter setting in design of experiments. The algorithm begins with successive orthogonal array experiments and ends with a full factorial experiment. The setup for the next orthogonal-array experiment is obtained from the previous one by either fixing a factor at a given level or by reducing the number of levels considered for all currently non-fixed factors. We illustrate this method using a light-gauge steel wall sound isolation system with four parameters, each with three levels. In previous work, the full factorial of =81 experiments was conducted and the best parameter settings was found. With the proposed algorithm, we found the same result using 15 experiments. As a further comparison, we obtained the optimum using a traditional Taguchi method, and found it corresponded to the of the 81experiments when sorted by the objective (or quality) function. We conclude the proposed algorithm would provide an accurate, fast, and economic tool for global optimization of design of experiments.

• Periodical: Applied Mechanics and Materials (Volumes 236-237)
• Pages: 515-520
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.236-237.515
• Online since: November 2012
• Authors: Chao Tsung Lee, Hsin Chuan Kuo, Ping Ruei Lee
• Keywords: Design of Experiment (DOE), Factorial, Orthogonal Array, Taguchi Method

References

[1] Fisher, R.A., Statistical Methods for Research Worker, London, Oliver & Boyd (1925).

[2] Taguchi, G. and Konish, S., Orthogonal Arrays and Linear Graphs, ASI Press, Dearborn, Michigan (1987).

[3] Ghani, J. A., Choudhurg, I. A., Hassan, H. H., Application of Taguchi Method in the Optimization of End Milling Parameter, Journal of Material Processing Technology Vol. 145, pp.84-92 (2004).

DOI: 10.1016/s0924-0136(03)00865-3

[4] Chen, R.S., Lin, H.C., Kung, C., Optimal Dimension of PQFP by Using Taguchi Method, Composite Structures, Vol. 49, pp.1-8 (2000).

DOI: 10.1016/s0263-8223(99)00111-7

[5] Lin, C.L., Lin, J.L., and Ko, T.C., Optimization of the EDM Process Based on the orthogonal Array with Fuzzy Logic and Grey Relational Analysis Method, International Journal of Advanced Manufacturing Technology Vol. 19, pp.271-277 ( 2002).

DOI: 10.1007/s001700200034

[6] Chen, L.Y., K.T. Fang and P. Winker, An Equivalence Theorem for Orthogonality and -Optimality, Technical Report MATH-186, Hong Kong Baptist University (1998).

[7] Park, J. K.: On Stochastic Optimization, Taguchi Methods Demystified; its limitation and fallacy Clarified, Probabilistic Engineering Mechanics Vol. 16, pp.87-101 (2001).

DOI: 10.1016/s0266-8920(00)00011-4

[8] Lin, Y. Z., The Study on Optimal Parameter Settings of Light-gauge Steel Wall Sound Isolation System Using Modified Taguchi Methods, Master Thesis, National Taiwan Ocean University (2011).