AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation
Tài liệu tham khảo
Ghanem, 1991
Hurtado, 2004, An examination of methods for approximating implicit limit state functions from the viewpoint of statistical learning theory, Struct Safety, 26, 271, 10.1016/j.strusafe.2003.05.002
Romero, 2004, Construction of response surfaces based on progressive-lattice-sampling experimental designs with application to uncertainty propagation, Struct Safety, 26, 201, 10.1016/j.strusafe.2003.03.001
Kaymaz, 2005, Application of Kriging method to structural reliability problems, Struct Safety, 27, 133, 10.1016/j.strusafe.2004.09.001
Bichon, 2008, Efficient global reliability analysis for nonlinear implicit performance functions, AIAA J, 46, 2459, 10.2514/1.34321
Ditlevsen, 1996
Lemaire, 2009
Sudret, 2002, Comparison of finite element reliability methods, Probabilist Eng Mech, 17, 337, 10.1016/S0266-8920(02)00031-0
Blatman, 2010, An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis, Probabilist Eng Mech, 25, 183, 10.1016/j.probengmech.2009.10.003
Deheeger, 2007, Support vector machine for efficient subset simulations: 2SMART method
Matheron, 1973, The intrinsic random functions and their applications, Adv Appl Probab, 5, 439, 10.2307/1425829
Jones, 1998, Efficient global optimization of expensive black-box functions, J Global Optimiz, 13, 455, 10.1023/A:1008306431147
Lophaven SN, Nielsen HB, Sondergaard J. DACE, a matlab Kriging toolbox, version 2.0. Tech. Rep. IMM-TR-2002-12; Technical University of Denmark; 2002a. <http://www2.imm.dtu.dk/hbn/dace/>.
Lophaven SN, Nielsen HB, Sondergaard J. Aspects of the matlab toolbox DACE. Tech. Rep. IMM-REP-2002-13; Technical University of Denmark; 2002b. <http://www2.imm.dtu.dk/hbn/dace/>.
Giunta, 2006, The promise and peril of uncertainty quantification using response surface approximations, Struct Infrastruct Eng: Maint, Manage, Life-Cycle Des Perform, 2, 175, 10.1080/15732470600590507
Ranjan, 2008, Sequential experiment design for contour estimation from complex computer codes, Technometrics, 50, 527, 10.1198/004017008000000541
Jones, 1993, Lipschitzian optimization without the Lipschitz constant, J Optimiz Theory Appl, 79, 157, 10.1007/BF00941892
Land, 1960, An automatic method of solving discrete programming problems, Econometrica, 28, 497, 10.2307/1910129
Sacks, 1989, Design for computer experiment, Technometrics, 31, 41, 10.1080/00401706.1989.10488474
Marrel, 2008, An efficient methodology for modeling complex computer codes with gaussian processes, Comput Stat Data Anal, 52, 4731, 10.1016/j.csda.2008.03.026
Kleijnen, 2009, Kriging metamodeling in simulation: a review, Eur J Oper Res, 192, 707, 10.1016/j.ejor.2007.10.013
Dellino, 2009, Kriging metamodel management in the design optimization of a CNG injection system, Math Comput Simul, 79, 2345, 10.1016/j.matcom.2009.01.013
Cox, 1997, SDO: a statistical method for global optimization, 315
Juang, 2008, Additional sampling based on regulation threshold and kriging variance to reduce the probability of false delineation in a contaminated site, Sci Total Environ, 389, 20, 10.1016/j.scitotenv.2007.08.025
Waarts PH. Structural reliability using finite element methods: an appraisal of directional adaptive response surface sampling (DARS). Ph.D. Thesis; TUDelft; 2000.
Schueremans, 2005, Benefit of splines and neural networks in simulation based structural reliability analysis, Struct Safety, 27, 10.1016/j.strusafe.2004.11.001
Schueremans L, Van Gemert D. Use of Kriging as meta-model in simulation procedures for structural reliability. In: 9th International conference on structural safety and reliability, 2005b. p. 2483–90.
Törn, 1989, Global optimization, Lect Notes Comput Sci, 350
Au, 2007, Application of subset simulation methods to reliability benchmark problems, Struct Safety, 29, 183, 10.1016/j.strusafe.2006.07.008
Lemaire, 2006, Phimeca-soft, Struct Safety, 28, 130, 10.1016/j.strusafe.2005.03.007
Rajashekhar, 1993, A new look at the response surface approach for reliability analysis, Struct Safety, 12, 205, 10.1016/0167-4730(93)90003-J
Gayton, 2003, CQ2RS: a new statistical approach to the response surface method for reliability analysis, Struct Safety, 25, 99, 10.1016/S0167-4730(02)00045-0
Rackwitz, 2001, Reliability analysis – a review and some perspectives, Struct Safety, 23, 365, 10.1016/S0167-4730(02)00009-7