A two-objective reliability-based design optimization problem is given as follows: mindf1d=d1+32+d2+22 f2d=50-d2d1-4 Subject to: β1Lg1d,X,Y=Y2Y1d1+X22-0.5X1d2-Y32≥0≥β1t β2Lg2d,X,Y=X2d1+0.5Y22-50.5Y1-d2Y3-X1≥0≥β2t 0≤d1≤5,0≤d2≤5,Y-YCTWYY-YC≤1where d=d1,d2T is a design vector and the distributions of the random variables X=X1,X2T is given in Table 1. In the Normal distribution, the parameters 1 and 2 denote the mean and standard deviation, respectively. In the Type I extreme value distribution, the