Efficient sampling methods for global reliability sensitivity analysis

Computer Physics Communications

Volumn 183, Issue 8, 2012, Pages 1728-1743

  Wei, Pengfei ^a   Lu, Zhenzhou ^a   Hao, Wenrui ^a   Feng, Jun ^b   Wang, Bintuan ^b  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

^b Aviation Industry Corporation of China (AVIC)   (China)

Author keywords

Global reliability sensitivity analysis; Importance sampling; Main effect indices; Total effect indices; Truncated importance sampling

Indexed keywords

CALCULATION EFFICIENCY; CALCULATION METHODS; EFFICIENT SAMPLING; FAILURE PROBABILITY; GLOBAL RELIABILITY; INPUT VARIABLES; MAIN EFFECT; MONTE CARLO SIMULATION; NUMERICAL EXAMPLE; SAMPLING METHOD; SENSITIVITY INDICES; STRUCTURE RELIABILITY ANALYSIS; TOTAL EFFECT;

MONTE CARLO METHODS; PRECISION ENGINEERING; RELIABILITY ANALYSIS; SENSITIVITY ANALYSIS;

IMPORTANCE SAMPLING;

EID: 84860282362     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2012.03.014     Document Type: Article

References (39)

1. J.C. Helton, J.D. Johnson, and C.J. Sallaberry Survey of sampling-based methods for uncertainty and sensitivity analysis Reliability Engineering and System Safety 91 2006 1175 1209
2. P. Bjerager, and S. Krenk Parametric sensitivity in first order reliability analysis Journal of Engineering Mechanics, ASCE 115 1989 1577 1582
3. L.J. Cui, Z.Z. Lu, and X.P. Zhao Moment-independent importance measure of basic random variable and its probability density evolution solution SCIENCE CHINA Technological Sciences 53 2010 1138 1145
4. L.Y. Li, Z.Z. Lu, Moment-independent importance measure of input variable and its state-dependent parameter solution, Structural Safety, submitted for publication.
5. I.M. Sobol Sensitivity analysis for non-linear mathematical models Mathematical Modelling and Computational Experiment 1 1993 407 414 translated from Russian: I.M. Sobol, Sensitivity estimates for nonlinear mathematical models Matematicheskoe Modelirovanie 2 1990 112 118
6. I.M. Sobol Global sensitivity indices for nonlinear mathematical models and their Monte-Carlo estimates Mathematics and Computers in Simulation 55 2001 271 280
7. I.M. Sobol Theorems and examples on high dimensional model representation Reliability Engineering and System Safety 79 2003 187 193
8. A. Saltelli Sensitivity analysis for importance assessment Risk Analysis 22 2002 579 590
9. A. Saltelli, M. Ratto, T. Andres, F. Campolongo, J. Cariboni, D. Gatelli, M. Saisana, and S. Tarantola Global Sensitivity Analysis: The Primer 2008 Wiley Chichester
10. E. Borgonovo A new uncertainty importance measure Reliability Engineering and System Safety 92 2007 771 784
11. E. Borgonovo, W. Castaings, S. Tarantola, Model emulation and moment-independent sensitivity analysis: An application to environmental modeling, Environmental Modelling & Software (2011), in press, http://dx.doi.org/10.1016/j.envsoft.2011.06.006.
12. E. Borgonovo, W. Castaings, and S. Tarantola Moment independent importance measure: New results and analytical test cases Risk Analysis 31 2011 404 428
13. S. Kucherenko, M. Rodriguez-Fernandez, C. Pantelides, and N. Shah Monte Carlo evaluation of derivative based global sensitivity measures Reliability Engineering & System Safety 74 2009 1135 1148
14. I.M. Sobol, and S. Kucherenko Derivative based global sensitivity measures and their link with global sensitivity indices Mathematics and Computers in Simulation 79 2009 3009 3017
15. I.M. Sobol, and S. Kucherenko A new derivative based importance criterion for groups of variables and its link with the global sensitivity index Sytot Computer Physics Communications 181 2010 1212 1217
16. G.Y. Li, J.S. Hu, and S.W. Wang Random Sampling-High Dimensional Model Representation (RS-HDMR) and orthogonality of its different order component functions The Journal of Physical Chemistry A 110 2006 2474 2485
17. G.Y. Li, C. Rosenthal, and H. Rabitz High dimensional model representations The Journal of Physical Chemistry A 105 2001 7765 7777
18. T. Ziehn, and A.S. Tomlin A global sensitivity study of sulphur chemistry in a premixed methane flame model using HDMR International Journal of Chemical Kinetics 40 2008 742 753
19. T. Ziehn, and A.S. Tomlin GUI-HDMR - A software tool for global sensitivity analysis of complex models Environmental Modelling & Software 24 2009 775 785
20. M. Ratto, A. Pagano, and P.C. Young State dependent parameter metamodelling and sensitivity analysis Computer Physics Communications 177 2007 863 876
21. M. Ratto, A. Pagano, and P.C. Young Non-parametric estimation of conditional moments for sensitivity analysis Reliability Engineering and System Safety 94 2009 237 243
22. S. Tarantola, D. Gatelli, and Mara T.A. Random balance designs for the estimation of first order global sensitivity indices Reliability Engineering and System Safety 91 2006 717 727
23. S. Tarantola, and M. Koda Improving random balance designs for the estimation of first order sensitivity indices Procedia Social and Behavioral Sciences 2 2010 7753 7754
24. T. Homma, and A. Saltelli Importance measures in global sensitivity analysis of model output Reliability Engineering & System Safety 52 1996 1 17
25. A. Saltelli, P. Annoni, I. Azzini, F. Campolongo, M. Ratto, and S. Tarantola Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity indices Computer Physics Communications 181 2010 259 270
26. A. Saltelli Making best use of model evaluations to compute sensitivity indices Computer Physics Communications 145 2002 280 297
27. M.J.W. Jansen Analysis of variance designs for model output Computer Physics Communications 117 1999 35 43
28. I.M. Sobol Global sensitivity analysis indices for the investigation of nonlinear mathematical models Matematicheskoe Modelirovanie 19 2007 23 24 (in Russian)
29. I.M. Sobol, S. Tarantola, D. Gatelli, S.S. Kucherenko, and W. Mauntz Estimating the approximation error when fixing unessential factors in global sensitivity analysis Reliability Engineering & System Safety 92 2007 957 960
30. S. Kucherenko, B. Feil, N. Shah, and W. Mauntz The identification of model effective dimensions using global sensitivity analysis Reliability Engineering & System Safety 96 2011 440 449
31. R.E. Melchers Importance sampling in structural system Structural Safety 6 1989 3 10
32. A. Harbitz An efficient sampling method for probability of failure calculation Structural Safety 3 1986 109 115
33. S.K. Au, and J.L. Beck A new adaptive importance sampling scheme Structural Safety 21 1999 135 158
34. S.K. Au, and J.L. Beck Importance sampling in high dimensions Structural Safety 25 2002 139 163
35. A.M. Hasfer, and N.C. Lind Exact and invariant second moment code format Journal of Engineering Mechanics, ASCE 100 1974 111 121
36. F. Grooteman Adaptive radial-based importance sampling method for structural reliability Structural Safety 30 2008 533 542
37. I.M. Sobol Uniformly distributed sequences with additional uniformity properties USSR Computational Mathematics and Mathematical Physics 16 1976 236 242
38. A.D. Kiureghian, and T. Dakessian Multiple design points in first and second-order reliability Structural Safety 20 1998 37 49
39. U. Alibrandi, and A. Der Kiureghian A gradient-free method for determining the design point in nonlinear stochastic dynamic analysis Probabilistic Engineering Mechanics 28 2012 2 10