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Volumn 22, Issue 3, 2012, Pages 773-793

Sequential design of computer experiments for the estimation of a probability of failure

Author keywords

Computer experiments; Gaussian processes; Probability of failure; Sequential design; Stepwise uncertainty reduction

Indexed keywords


EID: 85028094963     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11222-011-9241-4     Document Type: Article
Times cited : (284)

References (58)
  • 2
    • 0035472117 scopus 로고    scopus 로고
    • Estimation of small failure probabilities in high dimensions by subset simulation
    • Au, S. K., Beck, J.: Estimation of small failure probabilities in high dimensions by subset simulation. Probab. Eng. Mech. 16(4), 263-277 (2001).
    • (2001) Probab. Eng. Mech. , vol.16 , Issue.4 , pp. 263-277
    • Au, S.K.1    Beck, J.2
  • 6
    • 54949147327 scopus 로고    scopus 로고
    • Efficient global reliability analysis for nonlinear implicit performance functions
    • Bichon, B. J., Eldred, M. S., Swiler, L. P., Mahadevan, S., McFarland, J. M.: Efficient global reliability analysis for nonlinear implicit performance functions. AIAA J. 46(10), 2459-2468 (2008).
    • (2008) AIAA J. , vol.46 , Issue.10 , pp. 2459-2468
    • Bichon, B.J.1    Eldred, M.S.2    Swiler, L.P.3    Mahadevan, S.4    McFarland, J.M.5
  • 7
    • 0025595014 scopus 로고
    • On computational methods for structural reliability analysis
    • Bjerager, P.: On computational methods for structural reliability analysis. Struct. Saf. 9, 76-96 (1990).
    • (1990) Struct. Saf. , vol.9 , pp. 76-96
    • Bjerager, P.1
  • 8
    • 0031334973 scopus 로고    scopus 로고
    • Structural reliability analysis using a standard deterministic finite element code
    • Borri, A., Speranzini, E.: Structural reliability analysis using a standard deterministic finite element code. Struct. Saf. 19(4), 361-382 (1997).
    • (1997) Struct. Saf. , vol.19 , Issue.4 , pp. 361-382
    • Borri, A.1    Speranzini, E.2
  • 10
    • 0025243907 scopus 로고
    • A fast and efficient response surface approach for structural reliability problems
    • Bucher, C. G., Bourgund, U.: A fast and efficient response surface approach for structural reliability problems. Struct. Saf. 7(1), 57-66 (1990).
    • (1990) Struct. Saf. , vol.7 , Issue.1 , pp. 57-66
    • Bucher, C.G.1    Bourgund, U.2
  • 12
    • 84950437532 scopus 로고
    • Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments
    • Currin, C., Mitchell, T., Morris, M., Ylvisaker, D.: Bayesian prediction of deterministic functions, with applications to the design and analysis of computer experiments. J. Am. Stat. Assoc. 86(416), 953-963 (1991).
    • (1991) J. Am. Stat. Assoc. , vol.86 , Issue.416 , pp. 953-963
    • Currin, C.1    Mitchell, T.2    Morris, M.3    Ylvisaker, D.4
  • 15
    • 84863024315 scopus 로고    scopus 로고
    • Kriging-based Monte Carlo simulation to compute the probability of failure efficiently: AK-MCS method
    • Toulouse, France24-26 mars
    • Echard, B., Gayton, N., Lemaire, M.: Kriging-based Monte Carlo simulation to compute the probability of failure efficiently: AK-MCS method. In: 6èmes Journées Nationales de Fiabilité, Toulouse, France, 24-26 mars 2010a.
    • (2010) 6èmes Journées Nationales De Fiabilité
    • Echard, B.1    Gayton, N.2    Lemaire, M.3
  • 18
    • 55549135706 scopus 로고    scopus 로고
    • A knowledge-gradient policy for sequential information collection
    • Frazier, P. I., Powell, W. B., Dayanik, S.: A knowledge-gradient policy for sequential information collection. SIAM J. Control Optim. 47(5), 2410-2439 (2008).
    • (2008) SIAM J. Control Optim. , vol.47 , Issue.5 , pp. 2410-2439
    • Frazier, P.I.1    Powell, W.B.2    Dayanik, S.3
  • 20
    • 79959416527 scopus 로고    scopus 로고
    • Kriging is well-suited to parallelize optimization
    • Adaptation Learning and Optimization, L. M. Hiot, Y. S. Ong, Y. Tenne, and C. K. Goh (Eds.), Berlin: Springer
    • Ginsbourger, D., Le Riche, R., Carraro, L.: Kriging is well-suited to parallelize optimization. In: Hiot, L. M., Ong, Y. S., Tenne, Y., Goh, C. K. (eds.) Computational Intelligence in Expensive Optimization Problems. Adaptation Learning and Optimization, vol. 2, pp. 131-162. Springer, Berlin (2010).
    • (2010) Computational Intelligence in Expensive Optimization Problems , vol.2 , pp. 131-162
    • Ginsbourger, D.1    Le Riche, R.2    Carraro, L.3
  • 21
    • 84952117554 scopus 로고
    • A Bayesian analysis of kriging
    • Handcock, M. S., Stein, M. L.: A Bayesian analysis of kriging. Technometrics 35(4), 403-410 (1993).
    • (1993) Technometrics , vol.35 , Issue.4 , pp. 403-410
    • Handcock, M.S.1    Stein, M.L.2
  • 22
    • 79951950177 scopus 로고    scopus 로고
    • Hornik, K.: The R FAQ (2010). http://CRAN. R-project. org/doc/FAQ/R-FAQ. html. ISBN 3-900051-08-9.
    • (2010) The R FAQ
    • Hornik, K.1
  • 23
    • 1542316250 scopus 로고    scopus 로고
    • An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory
    • Hurtado, J. E.: An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory. Struct. Saf. 26(3), 271-293 (2004).
    • (2004) Struct. Saf. , vol.26 , Issue.3 , pp. 271-293
    • Hurtado, J.E.1
  • 24
    • 33749045422 scopus 로고    scopus 로고
    • Filtered importance sampling with support vector margin: a powerful method for structural reliability analysis
    • Hurtado, J. E.: Filtered importance sampling with support vector margin: a powerful method for structural reliability analysis. Struct. Saf. 29(1), 2-15 (2007).
    • (2007) Struct. Saf. , vol.29 , Issue.1 , pp. 2-15
    • Hurtado, J.E.1
  • 25
    • 0000561424 scopus 로고    scopus 로고
    • Efficient global optimization of expensive black-box functions
    • Jones, D. R., Schonlau, M., William, J.: Efficient global optimization of expensive black-box functions. J. Glob. Optim. 13(4), 455-492 (1998).
    • (1998) J. Glob. Optim. , vol.13 , Issue.4 , pp. 455-492
    • Jones, D.R.1    Schonlau, M.2    William, J.3
  • 27
    • 0000406385 scopus 로고
    • A correspondence between Bayesian estimation on stochastic processes and smoothing by splines
    • Kimeldorf, G. S., Wahba, G.: A correspondence between Bayesian estimation on stochastic processes and smoothing by splines. Ann. Math. Stat. 41(2), 495-502 (1970).
    • (1970) Ann. Math. Stat. , vol.41 , Issue.2 , pp. 495-502
    • Kimeldorf, G.S.1    Wahba, G.2
  • 28
    • 84998710865 scopus 로고
    • A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise
    • Kushner, H. J.: A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise. J. Basic Eng. 86, 97-106 (1964).
    • (1964) J. Basic Eng. , vol.86 , pp. 97-106
    • Kushner, H.J.1
  • 29
    • 70549096873 scopus 로고    scopus 로고
    • Choosing the sample size of a computer experiment: a practical guide
    • Loeppky, J. L., Sacks, J., Welch, W. J.: Choosing the sample size of a computer experiment: a practical guide. Technometrics 51(4), 366-376 (2009).
    • (2009) Technometrics , vol.51 , Issue.4 , pp. 366-376
    • Loeppky, J.L.1    Sacks, J.2    Welch, W.J.3
  • 31
    • 0342813049 scopus 로고
    • The application of Bayesian methods for seeking the extremum
    • L. Dixon and E. G. Szego (Eds.), Amsterdam: Elsevier
    • Mockus, J., Tiesis, V., Zilinskas, A.: The application of Bayesian methods for seeking the extremum. In: Dixon, L., Szego, E. G. (eds.) Towards Global Optimization, vol. 2, pp. 117-129. Elsevier, Amsterdam (1978).
    • (1978) Towards Global Optimization , vol.2 , pp. 117-129
    • Mockus, J.1    Tiesis, V.2    Zilinskas, A.3
  • 32
    • 1342303658 scopus 로고    scopus 로고
    • Estimating percentiles of uncertain computer code outputs
    • Oakley, J.: Estimating percentiles of uncertain computer code outputs. J. R. Stat. Soc., Ser. C 53(1), 83-93 (2004).
    • (2004) J. R. Stat. Soc., Ser. C , vol.53 , Issue.1 , pp. 83-93
    • Oakley, J.1
  • 33
    • 0041399511 scopus 로고    scopus 로고
    • Bayesian inference for the uncertainty distribution of computer model outputs
    • Oakley, J., O'Hagan, A.: Bayesian inference for the uncertainty distribution of computer model outputs. Biometrika 89(4) (2002).
    • (2002) Biometrika , vol.89 , Issue.4
    • Oakley, J.1    O'Hagan, A.2
  • 34
    • 2642573771 scopus 로고    scopus 로고
    • Probabilistic sensitivity analysis of complex models: a Bayesian approach
    • Oakley, J., O'Hagan, A.: Probabilistic sensitivity analysis of complex models: a Bayesian approach. J. R. Stat. Soc., Ser. B, Stat. Methodol. 66(3), 751-769 (2004).
    • (2004) J. R. Stat. Soc., Ser. B, Stat. Methodol. , vol.66 , Issue.3 , pp. 751-769
    • Oakley, J.1    O'Hagan, A.2
  • 35
    • 0002978835 scopus 로고
    • Curve fitting and optimal design for prediction
    • O'Hagan, A.: Curve fitting and optimal design for prediction. J. R. Stat. Soc., Ser. B, Methodol. 40(1), 1-42 (1978).
    • (1978) J. R. Stat. Soc., Ser. B, Methodol. , vol.40 , Issue.1 , pp. 1-42
    • O'Hagan, A.1
  • 36
    • 0000461110 scopus 로고
    • An approach to time series analysis
    • Parzen, E.: An approach to time series analysis. Ann. Math. Stat. 32, 951-989 (1962).
    • (1962) Ann. Math. Stat. , vol.32 , pp. 951-989
    • Parzen, E.1
  • 37
    • 22944461402 scopus 로고    scopus 로고
    • Default priors for Gaussian processes
    • Paulo, R.: Default priors for Gaussian processes. Ann. Stat. 33(2), 556-582 (2005).
    • (2005) Ann. Stat. , vol.33 , Issue.2 , pp. 556-582
    • Paulo, R.1
  • 39
    • 77955204195 scopus 로고    scopus 로고
    • Adaptive designs of experiments for accurate approximation of target regions
    • Picheny, V., Ginsbourger, D., Roustant, O., Haftka, R. T., Kim, N. H.: Adaptive designs of experiments for accurate approximation of target regions. J. Mech. Des. 132(7), 1-9 (2010).
    • (2010) J. Mech. Des. , vol.132 , Issue.7 , pp. 1-9
    • Picheny, V.1    Ginsbourger, D.2    Roustant, O.3    Haftka, R.T.4    Kim, N.H.5
  • 41
    • 33847397427 scopus 로고    scopus 로고
    • Application of line sampling simulation method to reliability benchmark problems
    • A Benchmark Study on Reliability in High Dimensions
    • Pradlwarter, H., Schuëller, G., Koutsourelakis, P., Charmpis, D.: Application of line sampling simulation method to reliability benchmark problems. Struct. Saf. 29(3), 208-221 (2007). A Benchmark Study on Reliability in High Dimensions.
    • (2007) Struct. Saf. , vol.29 , Issue.3 , pp. 208-221
    • Pradlwarter, H.1    Schuëller, G.2    Koutsourelakis, P.3    Charmpis, D.4
  • 43
    • 43949162529 scopus 로고
    • A new look at the response surface approach for reliability analysis
    • Rajashekhar, M. R., Ellingwood, B. R.: A new look at the response surface approach for reliability analysis. Struct. Saf. 12(3), 205-220 (1993).
    • (1993) Struct. Saf. , vol.12 , Issue.3 , pp. 205-220
    • Rajashekhar, M.R.1    Ellingwood, B.R.2
  • 44
    • 54949098362 scopus 로고    scopus 로고
    • Sequential experiment design for contour estimation from complex computer codes
    • Ranjan, P., Bingham, D., Michailidis, G.: Sequential experiment design for contour estimation from complex computer codes. Technometrics 50(4), 527-541 (2008).
    • (2008) Technometrics , vol.50 , Issue.4 , pp. 527-541
    • Ranjan, P.1    Bingham, D.2    Michailidis, G.3
  • 46
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • Sacks, J., Welch, W. J., Mitchell, T. J., Wynn, H. P.: Design and analysis of computer experiments. Stat. Sci. 4(4), 409-435 (1989).
    • (1989) Stat. Sci. , vol.4 , Issue.4 , pp. 409-435
    • Sacks, J.1    Welch, W.J.2    Mitchell, T.J.3    Wynn, H.P.4
  • 49
    • 14944365440 scopus 로고    scopus 로고
    • Benefit of splines and neural networks in simulation based structural reliability analysis
    • Schueremans, L., Gemert, D. V.: Benefit of splines and neural networks in simulation based structural reliability analysis. Struct. Saf. 27(3), 246-261 (2005).
    • (2005) Struct. Saf. , vol.27 , Issue.3 , pp. 246-261
    • Schueremans, L.1    Gemert, D.V.2
  • 54
    • 84859166568 scopus 로고    scopus 로고
    • Ph. D. thesis, Université Paris-Sud XI, Faculté des Sciences d'Orsay
    • Villemonteix, J.: Optimisation de fonctions coûteuses. Ph. D. thesis, Université Paris-Sud XI, Faculté des Sciences d'Orsay (2008).
    • (2008) Optimisation de fonctions coûteuses
    • Villemonteix, J.1
  • 55
    • 67650938640 scopus 로고    scopus 로고
    • An informational approach to the global optimization of expensive-to-evaluate functions
    • Villemonteix, J., Vazquez, E., Walter, E.: An informational approach to the global optimization of expensive-to-evaluate functions. J. Glob. Optim. 44(4), 509-534 (2009).
    • (2009) J. Glob. Optim. , vol.44 , Issue.4 , pp. 509-534
    • Villemonteix, J.1    Vazquez, E.2    Walter, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.