Stochastic subset optimization incorporating moving least squares response surface methodologies for stochastic sampling

Jaynes, 2003 Royset, 2006, Optimal design with probabilistic objective and constraints, J Eng Mech, 132, 107, 10.1061/(ASCE)0733-9399(2006)132:1(107) Aoues, 2008, Reliability-based optimization of structural systems by adaptive target safety – application to RC frames, Struct Safety, 30, 144, 10.1016/j.strusafe.2006.10.002 Taflanidis, 2009, Life-cycle cost optimal design of passive dissipative devices, Struct Safety, 31, 508, 10.1016/j.strusafe.2009.06.010 Robert, 2004 Spall, 2003 Ruszczynski, 2003 Taflanidis, 2008, An efficient framework for optimal robust stochastic system design using stochastic simulation, Comput Methods Appl Mech Eng, 198, 88, 10.1016/j.cma.2008.03.029 Taflanidis, 2009, Stochastic subset optimization for reliability optimization and sensitivity analysis in system design, Comput Struct, 87, 318, 10.1016/j.compstruc.2008.12.015 Taflanidis, 2010, Reliability-based design using two-stage stochastic optimization with a treatment of model prediction errors, J Eng Mech, 136, 1460, 10.1061/(ASCE)EM.1943-7889.0000189 Myers RH, Montgomery DC. Response surface methodology. 2nd ed. New York, NY; 2002. Choi KK, Youn B, Yang RJ. Moving least squares method for reliability-based design optimization. In Proceedings of the 4th world congress of structural and multidisciplinary optimization, Dalian, China, June 4–8; 2001. Berg, 2004 Taflanidis, 2008, Stochastic subset optimization for optimal reliability problems, Probab Eng Mech, 23, 324, 10.1016/j.probengmech.2007.12.011 Taflanidis AA. Stochastic system design and applications to stochastically robust structural control. PhD thesis, Engineering and Applied Science Division, California Institute of Technology; 2007. Beirlant, 1997, Nonparametric entropy estimation: an overview, Int J Math Stat Sci, 6, 17 Mokkadem, 1989, Estimation of the entropy and information for absolutely continuous random variables, IEEE Trans Inform Theory, 35, 193, 10.1109/18.42194 Martinez, 2002 Gavin, 2007, High-order limit state functions in the response surface method for structural reliability analysis, Struct Safety, 30, 162, 10.1016/j.strusafe.2006.10.003 Breitkopf, 2005, Moving least squares response surface approximation: formulation and metal forming applications, Comput Struct, 83, 1411, 10.1016/j.compstruc.2004.07.011 Youn, 2004, A new response surface methodology for reliability-based design optimization, Comput Struct, 82, 241, 10.1016/j.compstruc.2003.09.002 Bucher, 2008, A comparison of approximate response functions in structural reliability analysis, Probab Eng Mech, 23, 154, 10.1016/j.probengmech.2007.12.022 Schuëller, 2008, Computational methods in optimization considering uncertainties – an overview, Comput Methods Appl Mech Eng, 198, 2, 10.1016/j.cma.2008.05.004 Valdebenito, 2010, A survey on approaches for reliability-based optimization, Struct Multidis Optim, 42, 645, 10.1007/s00158-010-0518-6 Taflanidis, 2008, Probabilistically robust nonlinear design of control systems for base-isolated structures, J Struct Control Health Monit, 15, 697, 10.1002/stc.275 Mavroeidis, 2003, A mathematical representation of near-fault ground motions, Bull Seismol Soc Am, 93, 1099, 10.1785/0120020100 Holmstrom, 2009 Makris, 2004, Dimensional analysis of bilinear oscillators under pulse-type excitations, J Eng Mech, 130, 1019, 10.1061/(ASCE)0733-9399(2004)130:9(1019) Dimitrakopoulos, 2009, Dimensional analysis of the earthquake-induced pounding between adjacent structures, Earthquake Eng Struct Dynam, 38, 867, 10.1002/eqe.872 Kleinmann, 1999, Simulation-based optimization with stochastic approximation using common random numbers, Manage Sci, 45, 1570, 10.1287/mnsc.45.11.1570