Allen, M., and Maute, K., 2005, “Reliability-Based Shape Optimization of Structures Undergoing Fluid-Structure Interaction Phenomena,” Comput. Methods Appl. Mech. Eng., 194 , pp. 3472–3495.

[CrossRef]Huyse, L., Padula, S., Lewis, R., and Li, W., 2002, “Probabilistic Approach to Free-Form Airfoil Shape Optimization Under Uncertainty,” AIAA J., 40 (9), pp. 1764–1772.

[CrossRef]George, P., Gea, H. -C., and Jaluria, Y., 2006, “Optimization of Chemical Vapor Deposition Process,” Proceedings of the ASME Design Engineering Technical Conference .

Gu, L., Yang, R. -J., Tho, C., Makowski, M., Faruque, O., and Li, Y., 2001, “Optimization and Robustness for Crashworthiness of Side Impact,” Int. J. Veh. Des., 26 (4), pp. 348–360.

[CrossRef]Chan, K. -Y., Skerlos, S., and Papalambros, P., 2010, “A Method for Reliability-Based Optimization With Multiple Non-Normal Stochastic Parameters: A Simplified Airshed Management Case Study,” Stochastic Environ. Res. Risk Assess., 24 , pp. 101–116.

[CrossRef]Hasofer, A., and Lind, N., 1974, “Exact and Invariant Second-Moment Code Format,” J. Engrg. Mech. Div., 100 , pp. 111–121.

Hohenbichler, M., and Rackwitz, R., 1983, “First-Order Concepts in System Reliability,” Struct. Safety, 1 (3), pp. 177–188.

[CrossRef]Hohenbichler, M., and Rackwitz, R., 1981, “Non-Normal Dependent Vectors in Structural Safety,” J. Engrg. Mech. Div., 107 (6), pp. 1227–1238.

Cornell, C., 1967, “Bounds on Reliability of Structural Systems,” ASCE J. Struct. Div., 93 , pp. 171–200.

Breitung, K., 1984, “Asymptotic Approximations for Multinormal Integrals,” J. Eng. Mech., 110 (3), pp. 357–366.

[CrossRef]Fiessler, B., Neumann, H. -J., and Rackwitz, R., 1979, “Quadratic Limit States in Structural Reliability,” J. Engrg. Mech. Div., 105 (4), pp. 661–676.

Halton, J., 1970, “Retrospective and Prospective Survey of the Monte Carlo Method,” SIAM Rev., 12 (1), pp. 1–63.

[CrossRef]Rief, H., Gelbard, E., Schaefer, R., and Smith, K., 1986, “Review of Monte Carlo Techniques for Analyzing Reactor Perturbations,” Nucl. Sci. Eng., 92 (2), pp. 289–297.

[CrossRef]Turner, J., Wright, H., and Hamm, R., 1985, “A Monte Carlo Primer for Health Physicists,” Health Phys., 48 (6), pp. 717–733.

[CrossRef]Melchers, R., 2000, "*Structural Reliability Analysis and Prediction*", Wiley, New York.

Fishman, G., 1996, "*Monte Carlo: Concepts, Algorithms, and Applications*", Springer, New York.

Hofer, E., 1999, “Sensitivity Analysis in the Context of Uncertainty Analysis for Computationally Intensive Models,” Comput. Phys. Commun., 117 (1–2), pp. 21–34.

[CrossRef]Au, S., and Beck, J., 1999, “New Adaptive Importance Sampling Scheme for Reliability Calculations,” Struct. Safety, 21 (2), pp. 135–158.

[CrossRef]Kalagnanam, J., and Diwekar, U., 1997, “An Efficient Sampling Technique for Off-Line Quality Control,” Technometrics, 39 (3), pp. 308–319.

[CrossRef]Kim, K. -J., and Diwekar, U., 2002, “Efficient Combinatorial Optimization Under Uncertainty. 1. Algorithmic Development,” Ind. Eng. Chem. Res., 41 (5), pp. 1276–1284.

[CrossRef]Wu, Y., 1993, “Adaptive Importance Sampling (AIS)-Based System Reliability Sensitivity Analysis Method,” "*Proceedings of the IUTAM Symposium*", Springer-Verlag, New York, p. 550.

Helton, J., and Davis, F., 2003, “Latin Hypercube Sampling and the Propagation of Uncertainty in Analyses of Complex Systems,” Reliab. Eng. Syst. Saf., 81 (1), pp. 23–69.

[CrossRef]Diwekar, U., and Kalagnanam, J., 1996, “Robust Design Using an Efficient Sampling Technique,” Comput. Chem. Eng., 20 , pp. S389–S394.

[CrossRef]Diwekar, U., and Kalagnanam, J., 1997, “Efficient Sampling Technique for Optimization Under Uncertainty,” AIChE J., 43 (2), pp. 440–447.

[CrossRef]Harbitz, A., 1986, “Efficient Sampling Method for Probability of Failure Calculation,” Struct. Safety, 3 (2), pp. 109–115.

[CrossRef]Karamchandani, A., Bjerager, P., and Cornell, C., 1989, “Adaptive Importance Sampling,” Proceedings of the Fifth International Conference on Structural Safety and Reliability , pp. 855–862.

Wu, Y., 1993, “Adaptive Importance Sampling AIS-Based System Reliability Sensitivity Analysis Method,” Proceedings of the IUTAM Symposium , Jun. 7–10, p. 550.

Haldar, A., and Mahadevan, S., 1999, "*Probability, Reliability and Statistical Methods in Engineering Design*", Wiley, New York.

Der Kiureghian, A., and Dakessian, T., 1998, “Multiple Design Points in First and Second-Order Reliability,” Struct. Safety, 20 , pp. 37–49.

[CrossRef]Au, S., Papadimitriou, C., and Beck, J., 1999, “Reliability of Uncertain Dynamical Systems With Multiple Design Points,” Struct. Safety, 21 (2), pp. 113–133.

[CrossRef]Haldar, A., and Mahadevan, S., 2000, "*Reliability Assessment Using Stochastic Finite Element Analysis*", Wiley, New York.

Royset, J., and Polak, E., 2004, “Reliability-Based Optimal Design Using Sample Average Approximations,” Probab. Eng. Mech., 19 (4), pp. 331–343.

[CrossRef]Ho, C. -M., and Chan, K. -Y., 2010, “Modified Reduced Gradient With Realizations Sorting for Hard Equality Constraints in Reliability-Based Design Optimization,” Proceedings of the ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference , Paper No. DETC2010-28159.

Fletcher, R., Leyffer, S., and Toint, P. -L., 2002, “On the Global Convergence of a Filter-SQP Algorithm,” J. Opt., 13 (1), pp. 44–59.

Fletcher, R., and Leyffer, S., 2002, “Nonlinear Programming Without a Penalty Function,” Math. Program., 91 (2), pp. 239–269.

[CrossRef]Youn, B., Choi, K., and Park, Y., 2003, “Hybrid Analysis Method for Reliability-Based Design Optimization,” ASME J. Mech. Des., 125 (2), pp. 221–232.

[CrossRef]Du, X., and Chen, W., 2004, “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design,” ASME J. Mech. Des., 126 (2), pp. 225–233.

[CrossRef]Chan, K. -Y., Skerlos, S. J., and Papalambros, P., 2007, “An Adaptive Sequential Linear Programming Algorithm for Optimal Design Problems With Probabilistic Constraints,” ASME J. Mech. Des., 129 (2), pp. 140–149.

[CrossRef]Liang, J., Mourelatos, Z., and Tu, J., 2004, “A Single Loop Method for Reliability-Based Design Optimization,” Proceedings of the ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference , Paper No. DETC2004-57255.

Lu, X. -P., Li, H. -L., and Papalambros, P., 1984, “A Design Procedure for the Optimization of Vehicle Suspension,” Int. J. Veh. Des., 5 (1–2), pp. 129–142.