Kriging-Based Reliability-Based Design Optimization Using Single Loop Approach

  • Hongbo ZhangEmail author
  • Younes Aoues
  • Hao Bai
  • Didier Lemosse
  • Eduardo Souza de Cursi
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 991)


Reliability-Based Design Optimization (RBDO) is a powerful tool in engineering structural design, it tries to find a balance between cost and reliability for structural designs under uncertainty. Several RBDO formulations are developed to solve the RBDO problem, such as double loop methods, single loop methods, and decoupled methods. Despite, these new formulations of RBDO, they are unable to deal for engineering complex problems, due to the computational cost. The Kriging surrogate has been widely used to replace the time-consuming mechanical constraints. In this paper, a single loop RBDO approach (SLA) is coupled with the Kriging surrogate, the most probable points (MPP) of each loop are used as new sample points to update the Kriging model. The Kriging-SLA is running iteratively until it reaches the converge criteria. Compared with other sampling methods, this method can be started with very few training points and converges to the right minimum very efficiently. 2 benchmark examples are used to demonstrate this method.


Reliability-based optimization Single loop approach Kriging surrogate Adaptive sampling 


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Hongbo Zhang
    • 1
    Email author
  • Younes Aoues
    • 1
  • Hao Bai
    • 1
  • Didier Lemosse
    • 1
  • Eduardo Souza de Cursi
    • 1
  1. 1.Normandie Univ, INSA Rouen Normandie, LMNRouenFrance

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