“…In order to reduce calculation time, stochastic order response surface method (SRSM) is presented by using a polynomial type of function g¯ ( X ) to replace the actual limit state function g ( X ). Typically a quadratic polynomial function without mixed terms is used as follows (Khuri and Cornell, 1996; Olivi, 1980; Rajashekhar and Ellingwood, 1993): Equation 4 where n is the number of random variables X =[ x 1 , x 2 … x n ], and a 0 , b i , and c i are the 2 n +1 unknown coefficients. The unknown coefficients are obtained from discrete evaluations of the implicit limit state function, such as through evaluation of a FE routine.…”