Structural and Multidisciplinary Optimization

, Volume 45, Issue 4, pp 559–574 | Cite as

A surrogate based multistage-multilevel optimization procedure for multidisciplinary design optimization

  • Wen YaoEmail author
  • Xiaoqian Chen
  • Qi Ouyang
  • Michel van Tooren
Research Paper


Optimization procedure is one of the key techniques to address the computational and organizational complexities of multidisciplinary design optimization (MDO). Motivated by the idea of synthetically exploiting the advantage of multiple existing optimization procedures and meanwhile complying with the general process of satellite system design optimization in conceptual design phase, a multistage-multilevel MDO procedure is proposed in this paper by integrating multiple-discipline-feasible (MDF) and concurrent subspace optimization (CSSO), termed as MDF-CSSO. In the first stage, the approximation surrogates of high-fidelity disciplinary models are built by disciplinary specialists independently, based on which the single level optimization procedure MDF is used to quickly identify the promising region and roughly locate the optimum of the MDO problem. In the second stage, the disciplinary specialists are employed to further investigate and improve the baseline design obtained in the first stage with high-fidelity disciplinary models. CSSO is used to organize the concurrent disciplinary optimization and system coordination so as to allow disciplinary autonomy. To enhance the reliability and robustness of the design under uncertainties, the probabilistic version of MDF-CSSO (PMDF-CSSO) is developed to solve uncertainty-based optimization problems. The effectiveness of the proposed methods is verified with one MDO benchmark test and one practical satellite conceptual design optimization problem, followed by conclusion remarks and future research prospects.


Multidisciplinary design optimization (MDO) Optimization procedure Multiple-discipline-feasible (MDF) Concurrent subspace optimization (CSSO) Surrogate model 



This work was supported in part by National Natural Science Foundation of China under Grant No. 50975280 and Grant No. 61004094, Program for New Century Excellent Talents in University of Ministry of Education of China under Grant No. NCET-08-0149, Fund of Innovation by Graduate School of National University of Defense Technology under Grant No. B090102, and Hunan provincial innovation foundation for postgraduate, China.


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Wen Yao
    • 1
    • 2
    Email author
  • Xiaoqian Chen
    • 1
  • Qi Ouyang
    • 1
  • Michel van Tooren
    • 2
  1. 1.College of Aerospace and Materials EngineeringNational University of Defense TechnologyChangshaChina
  2. 2.Faculty of Aerospace EngineeringDelft University of TechnologyDelftThe Netherlands

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