Robust parameter design for dynamic multi-response system

MA Yi-zhong, WANG Jian-jun, SU Guo-jin

Systems Engineering - Theory & Practice ›› 2012 ›› Issue (8) : 1841-1849.

PDF(540 KB)
中国科学院数学与系统科学研究院期刊网
PDF(540 KB)
Systems Engineering - Theory & Practice ›› 2012 ›› Issue (8) : 1841-1849. DOI: 10.12011/1000-6788(2012)8-1841

Robust parameter design for dynamic multi-response system

  • MA Yi-zhong, WANG Jian-jun, SU Guo-jin
Author information +
History +

Abstract

In view of the correlations among multiple responses and information uncertainty of design of experiment (DOE), a new method of robust parameter design for dynamic multi-response system was proposed. Firstly, desirability function was used to measure dynamic system sensitivity and variation, and principal component analyses on the two indices were conducted. Secondly, grey relational analysis was used to gain the grey relational grade (GRD) of principal component sequences relative to their respective ideal sequences, and transferred them into integrated grey relational grad (IGRD) by means of TOPSIS, then identified the optimal level combination of control factors based on the IGRD. Finally, the validity and superiority of the proposed method are confirmed through two case studies.

Key words

dynamic multi-response / robust parameter design / desirability function / grey relational analysis / TOPSIS method

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations
MA Yi-zhong , WANG Jian-jun , SU Guo-jin. Robust parameter design for dynamic multi-response system. Systems Engineering - Theory & Practice, 2012(8): 1841-1849 https://doi.org/10.12011/1000-6788(2012)8-1841

References

[1] 马义中, 赵逢禹. 多元质量特性的稳健设计及其实现[J]. 系统工程与电子技术, 2005, 27(9): 1580-1583.Ma Y Z, Zhao F Y. Robust design and implementation for multivariate quality characteristics[J]. Systems Engineering and Electronics, 2005, 27(9): 1580-1583.
[2] Nair V N, Abraham B, Mackay J, et al. Taguchi's parameter design: A panel discussion[J]. Technometrics, 1992, 34(2): 121-161.
[3] Robinson T J, Borror C M, Myers R H. Robust parameter design: A review[J]. Quality and Reliability Engineering International, 2004, 20(1): 81-101.
[4] Lunani M, Nair V N, Wasserman G S. Graphical methods for robust design with dynamic characteristics[J]. Journal of Quality Technology, 1997, 29(3): 327-338.
[5] Tsui K L. Modeling and analysis of dynamic robust design experiments[J]. IIE Transactions, 1999, 31: 1113-1122.
[6] 马义中, 程少华, 李言俊. 改进的多变量质量损失函数及其实证分析[J]. 系统工程, 2002, 20(4): 54-58.Ma Y Z, Cheng S H, Li Y J. An improved multivariate loss function and positive analysis[J]. System Engineering, 2002, 20(4): 54-58.
[7] 何桢, 宗志宇, 孔祥芬. 改进的满意度函数在多响应优化中的应用[J]. 天津大学学报, 2006, 39(9): 1136-1140.He Z, Zong Z Y, Kong X F. Application of improved desirability function method to the multi-response optimization[J]. Journal of Tianjin University, 2006, 39(9): 1136-1140.
[8] 宗志宇,何桢,孔祥芬.多响应优化方法的比较和应用研究[J]. 数理统计与管理, 2006, 25(6): 697-704.Zong Z Y, He Z, Kong X F. Comparison of methods for multiresponse optimization[J]. Application of Statistics and Management, 2006, 25(6): 697-704.
[9] Tong L I, Wang C H, Houng J Y, et al. Optimizing dynamic multiresponse problems using the dual-response-surface method[J]. Quality Engineering, 2001, 14(1): 115-125.
[10] Wu F C. Robust design of nonlinear multiple dynamic quality characteristics[J]. Computers & Industrial Engineering, 2009, 56(4): 1328-1332.
[11] Hsieh K L, Tong L I, Chiu H P, et al. Optimization of a multi-response problem in Taguchi's dynamic system[J]. Computers & Industrial Engineering, 2005, 49(4): 556-571.
[12] Chang H H. A data mining approach to dynamic multiple responses in Taguchi experimental design[J]. Expert Systems with Applications, 2008, 35(3): 1095-1103.
[13] Wang C H, Tong L I. Optimization of dynamic multi-response problems using grey multiple attribute decision making[J]. Quality Engineering, 2005, 17(1): 1-9.
[14] Wang C H. Dynamic multi-response optimization using principal component analysis and multiple criteria evaluation of the grey relation model[J]. International Journal of Advanced Manufacturing Technology, 2007, 32: 617-624.
[15] Tong L I, Wang C H, Tsai C W. Robust design for multiple dynamic quality characteristics using data envelopment analysis[J]. Quality and Reliability Engineering International, 2008, 24(5): 557-571.
[16] Wu F C. Sequential optimization of parameter and tolerance design for multiple dynamic quality characteristics[J]. International Journal of Production Research, 2007, 45(13): 2939-2954.
[17] 钟晓芳, 刘思峰. 基于灰色关联度的动态稳健性设计[J]. 系统工程理论与实践, 2009, 29(9): 147-152.Zhong X F, Liu S F. Grey relation grade for the analysis of robust designs with dynamic characteristics[J]. Systems Engineering -- Theory & Practice, 2009, 29(9): 147-152.
[18] Wasserman G S. Parameter design with dynamic characteristics: A regression perspective[J]. Quality and Reliability Engineering International, 1996, 12(2): 113-117.
[19] 刘思峰,党耀国,方志耕. 灰色系统理论及其应用[M]. 3版.北京: 科学出版社, 2004.Liu S F, Dang Y G, Fang Z G. Grey Theory and Its Applications[M]. 3rd ed. Beijing: Science Press, 2004.
[20] Hwang C L, Yoon K. Multiple Attribute Decision Making-Method and Applications[M]. New York: Springer-Verlag, 1981.
[21] Chang H H. Dynamic multi-response experiments by back propagation networks and desirability functions[J]. Journal of the Chinese Institute of Industrial Engineers, 2006, 23(4): 280-288.
PDF(540 KB)

139

Accesses

0

Citation

Detail
Sections
Recommended

/

〈 〉