Development of a new robust design methodology based on Bayesian perspectives

Robust design (RD), implemented in statistical and mathematical procedures to simultaneously minimise the process bias and variability, is widely used in many areas of engineering and technology to represent complex real-world industrial settings. For RD modelling and optimisation, response surface methodology (RSM) is often utilised as an estimation method to represent the functional relationship between input factors and their associated output responses. Although conventional RSM-based RD methods may offer significant advantages regarding process design, there is room for improvement. In this context, a new RD methodology is developed in this paper by integrating Bayesian principles into the RD procedure. Numerical examples and comparative studies are conducted by using two conventional RSM-based RD models and the proposed model. The results of two numerical examples demonstrate that the proposed RD method provides significantly better RD solutions in terms of the expected quality loss (EQL) than conventional methods.

[1]  Ravindra Khattree,et al.  ROBUST PARAMETER DESIGN : A RESPONSE SURFACE APPROACH , 1996 .

[2]  Guillermo Miró-Quesada,et al.  Two Approaches for Improving the Dual Response Method in Robust Parameter Design , 2004 .

[3]  M. Gacula 7 – Response Surface Designs and Analysis , 1984 .

[4]  R. H. Myers,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[5]  Jiju Antony,et al.  Development of an experiment-based robust design paradigm for multiple quality characteristics using physical programming , 2008 .

[6]  Albert Tarantola,et al.  Inverse problem theory - and methods for model parameter estimation , 2004 .

[7]  田口 玄一,et al.  Introduction to quality engineering : designing quality into products and processes , 1986 .

[8]  Wanzhu Tu,et al.  Dual response surface optimization , 1995 .

[9]  Rong-Xian Yue,et al.  Model-robust designs in multiresponse situations , 2002 .

[10]  Dennis K. J. Lin,et al.  Dual Response Surface Optimization: A Fuzzy Modeling Approach , 1998 .

[11]  G. Geoffrey Vining,et al.  Combining Taguchi and Response Surface Philosophies: A Dual Response Approach , 1990 .

[12]  Byung Rae Cho,et al.  An integrated joint optimization procedure for robust and tolerance design , 2000 .

[13]  John E. Freund,et al.  Probability and statistics for engineers , 1965 .

[14]  Genichii Taguchi,et al.  Introduction to quality engineering. designing quality into products a , 1986 .

[15]  A. Tarantola Inverse problem theory : methods for data fitting and model parameter estimation , 1987 .

[16]  Richard L. Scheaffer,et al.  Probability and statistics for engineers , 1986 .

[17]  Raymond H. Myers,et al.  Probability and Statistics for Engineers and Scientists. , 1973 .

[18]  Jeffery J. Luner,et al.  ACHIEVING CONTINUOUS IMPROVEMENT WITH THE DUAL APPROACH: A DEMONSTRATION OF THE ROMAN CATAPULT , 1994 .

[19]  George E. P. Box,et al.  Empirical Model‐Building and Response Surfaces , 1988 .

[20]  Yaacob Ibrahim,et al.  Multiple response robust design and yield maximization , 1999 .

[21]  Igor N. Egorov,et al.  Multi-objective approach for robust design optimization problems , 2007 .

[22]  Jawad S. Hassan EXTERNAL FAILURE COST ESTIMATION USING RELIABILITY MODELS:AN ALTERNATIVE TO TAGUCHI’S LOSS FUNCTION , 2009 .

[23]  Peter R. Nelson,et al.  Dual Response Optimization via Direct Function Minimization , 1996 .

[24]  Douglas C. Montgomery,et al.  Robust Parameter Design Using Generalized Linear Mixed Models , 2006 .

[25]  Byung Rae Cho,et al.  Robust design modeling and optimization with unbalanced data , 2005, Comput. Ind. Eng..

[26]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[27]  Paul E. Pfeiffer Variance and Standard Deviation , 1990 .

[28]  Conrad A. Fung,et al.  An explanation and critique of taguchi's contributions to quality engineering , 1988 .

[29]  Byung Rae Cho,et al.  Studies on a biobjective robust design optimization problem , 2009 .

[30]  Douglas C. Montgomery,et al.  A Nonlinear Programming Solution to the Dual Response Problem , 1993 .

[31]  Byung Rae Cho,et al.  Bias-specified robust design optimization and its analytical solutions , 2005, Comput. Ind. Eng..