Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

A response surface based hierarchical approach to multidisciplinary robust optimization design

  • 148 Accesses

  • 6 Citations


A multidisciplinary robust optimization design framework, concurrent subsystem robust design optimization, is proposed to obtain robust optimum solution in the large-scaled and coupled system. In this framework, response surfaces in the form of artificial neural networks provide information pertaining to system performance characteristics, and individual subsystems engage in performing robust optimization design in parallel while communicating with the system level. This optimization approach incorporates uncertainty analysis and generates a global robust optimum solution in an iterative fashion. Two applications are considered, and the results demonstrate that the approach yields a reasonable robust optimum solution, and it is a potential and efficient multidisciplinary robust optimization approach .

This is a preview of subscription content, log in to check access.


  1. 1.

    Anon J (1991) Current state of the art in multidisciplinary Design Optimization. Prepared by the MDO Technical Committee, AIAA

  2. 2.

    Kodiyalam S, Sobieszczanski-Sobieski J (2001) Multidisciplinary design optimization – some formal methods, framework, requirements, and application to vehicle design. Int J Vehicle Des 25(1/2):3–22

  3. 3.

    Takeshi T, Takashige M (2002) Multidisciplinary design optimization of future space transportation vehicles. AIAA paper, pp 2002–5171

  4. 4.

    Sobieszczanski-Sobieski J (1988) A step from hierarchic to non-hierarchic systems. Second NASA/Air Force Symposium on Recent Advances in Multidisciplinary Analysis and Optimization. Hampton, Virginia, 28–30 September 1988

  5. 5.

    Kroo I, Altus S, Braun R, Gage P, Sobieski I (1994) Multidisciplinary optimization methods for aircraft preliminary design. 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization. AIAA 94-4325, Panama City, Florida, 7–9 September 1994

  6. 6.

    Chen LZ (1999) Robust design. Mechanical Industry, Beijing

  7. 7.

    Huang Z, Chen J (2001) Robust-optimal design in sliding bearing of ball mill. 17th International Conference on Computer-aided Production Engineering, Wuhan City, China, pp 55-58, 28–30 October 2001

  8. 8.

    Mavris DV, Bandte O, DeLaurentis DA (1999) Robust design simulation: a probabilistic approach to multidisciplinary design. J Aircraft 36(1):298–397

  9. 9.

    Du X, Chen W (2000) Methodology for managing the effect of uncertainty in simulation-based systems design. AIAA J 38(8):1471–1478

  10. 10.

    Chen W, Allen JK, Tsui KL, Mistree F (1996) A procedure for robust design: minimizing variations caused by noise factors and control factors. ASME J Mech 118(4):478–485

  11. 11.

    Du X, Chen W (2000) Concurrent subsystem uncertainty analysis in multidisciplinary design. 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, California, AIAA-2000-4841, 5–8 September 2000

  12. 12.

    Su J, Renaud JE (1997) Automatic differentiation in robust optimization. AIAA J 35(6):1072–1079

  13. 13.

    Chen BH, Xiao RB (2001) Research on the coupled factors in MDO for complexity products. Mech Eng Trans (in Chinese) 37(1):19–23

  14. 14.

    Yao X (1999) Evolving artificial neural networks. Proceedings IEEE 87(9):1423–1447

  15. 15.

    Ichikawa Y, Sawa T (1992) Neural network application for direct feedback controllers. IEEE Trans ANN 3(4):224–231

  16. 16.

    Matthew Z (1990) Neural networks in artificial intelligence. Ellis Horwood, Sussex, UK

  17. 17.

    Ru SG (1985) Tactical missile system design (in Chinese). National Defense Industry, Beijing

  18. 18.

Download references

Author information

Correspondence to Chen Jianjiang.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Jianjiang, C., Renbin, X. & Yifang, Z. A response surface based hierarchical approach to multidisciplinary robust optimization design. Int J Adv Manuf Technol 26, 301–309 (2005). https://doi.org/10.1007/s00170-004-2080-0

Download citation


  • Collaboration optimization
  • Multidisciplinary optimization
  • Response surface approximation
  • Robust design
  • Uncertainty analysis