Reliability Estimation and RBDO Using Kriging Metamodel and Genetic Algorithm

크리깅 메타모델과 유전알고리즘을 이용한 신뢰도 계산 및 신뢰도기반 최적설계

  • Published : 2009.11.01


In this study, effective methods for reliability estimation and reliability-based design optimization(RBDO) are proposed using kriging metamodel and genetic algorithm. In our previous study, we proposed the accurate method for reliability estimation using two-staged kriging metamodel and genetic algorithm. In this study, the possibility of applying the previously proposed method to RBDO is investigated. The efficiency and accuracy of that method were much improved than those of the first order reliability method(FORM). Finally, the effective method for RBDO is proposed and applied to numerical examples. The results are compared to the existing RBDO methods and shown to be very effective and accurate.


Reliability;RBDO;Kriging Metamodel;Genetic Algorithm;Most probable Point


  1. Hasofer, A. M. and Lind, N. C., 1974, 'Exact and Invariant Second Moment Code Format,' J. of Eng. Mech., ASCE, Vol. 100, pp. 111-121
  2. Rackwitz, R. and Fiessler, B., 1978, 'Structural Reliability Under Combined Random Load Sequence,' Comput Struct, Vol. 9, pp. 489-494
  3. Schueller, G. I., Bucher, C. G., Bourgund, U. and Ouypornpasert, W., 1987, 'On Efficient Computational Schemes to Calculate Structural Failure Probabilities,' Stochastic Structural Mechanics, U.S.-Austria Joint Seminar, pp. 338-410
  4. Sacks, J., Welch, W. J. and Mitchel, T. J., 1989, 'Design and Analysis of Computer Experiments,' Statistical Science, Vol. 4, No. 4, pp. 409-435
  5. Lee, T. H., Lee, C. J. and Lee, K. K., 2003, 'Shape Optimization of a CRT based on Response Surface and Kriging Metamodels,' Trans. of the KSME(A), Vol. 27, No. 3, pp. 381-386
  6. Tu, J., Choi, K. K. and Park, Y. H., 1999, 'A New Study on Reliability Based Design Optimization,' Journal Mechanical Design, ASME, Vol. 121, pp. 557-564
  7. Chen, X. and Neil, D. J., 1997, 'Reliability Based Structural Design Optimization for Practical Applications,' AIAA-97-1403, pp. 2724-2732
  8. Du, X. and Chen, W., 2004, 'Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design,' ASME Journal of Mechanical Design, Vol. 126, pp. 225-233
  9. Agarwal, H., Mozumder, C. K., Renaud, J. E. and Watson, L. T., 2007, 'An Inverse-Measure-Based Unilevel Architecture for Reliability-Based Design Optimization,' Struct Multidisc Optim, Vol. 33, pp. 217-227
  10. Zou, T. and Mahadevan, S., 2006, 'A Direct Decoupling Approach for Efficient Reliability-Based Design Optimization,' Struct Multidisc Optim, Vol. 31, pp. 190-200
  11. Ju, B. H. and Lee, B. C., 2008, 'Reliability-Based Design Optimization Using a Moment Method and Kriging Metamodel,' Engineering Optimization, Vol. 40 No. 5, pp. 421-438
  12. Cho, T. M., Ju, B. H., Jung, D. H. and Lee, B. C., 2006, 'Reliability Estimation Using Two-Staged Kriging Metamodel and Genetic Algorithm,' Trans. of the KSME(A), Vol. 30, No. 9, pp. 1116-1123
  13. Kaymaz, I., 2005, 'Application of Kriging Method to Structural Reliability Problems,' Structural Safety, Vol. 27, pp. 133-151
  14. Ju, B. H., 2008, Reliability Based Design Optimization Using a Kriging Metamodel and a Moment Method, Doctoral Thesis of KAIST
  15. Wang, L. and Grandhi, R. V., 1996, 'Safety Index Calculation Using Intervening Variables for Structural Reliability Analysis,' Computers & Structures, Vol. 59, No. 6, pp. 1139-1148
  16. Lee, S. H. and Kwak, B. M., 2006, 'Response Surface Augmented Moment Method for Efficient Reliability Analysis,' Structural Safety, Vol. 28, pp. 261-272
  17. Liu, Y. W. and Moses, F., 1994, 'A Sequential Response Surface Method and Its Application in the Reliability Analysis of Aircraft Structural Systems,' Structural Safety, Vol. 16, pp. 39-46
  18. Cho, T. M. and Lee, B. C., 2008, 'Reliability Estimation and RBDO Using Kriging Metamodel and Genetic Algorithm,' Proceedings of the KSME 2008 fall annual meeting, pp. 1016-1021
  19. Yang, R. J. and Gu, L., 2004, 'Experience with Approximate Reliability-Based Optimization Methods,' Struct Multidisc Optim, Vol. 26, pp. 152-159
  20. Huang, B. and Du, X., 2006, 'Uncertainty Analysis by Dimension Reduction Integration and Saddle point Approximations,' Transactions of ASME, Vol. 128, pp. 26-33
  21. Lee, T. W. and Kwak, B. M., 1987-88, 'A Reliability-Based Optimal Design Using Advanced First Order Second Method,' Mechanics of structures and machines, Vol. 15, No. 4, pp. 523-542
  22. Lee, T. H. and Jung, J. J., 2008, 'A Sampling Technique Enhancing Accuracy and Efficiency of Metamodel-Based RBDO: Constraint Boundary Sampling,' Computers and Structures, Vol. 86, pp. 1163-1476