Improved Response Surface Method Based on Linear Gradient Iterative Criterion

Table 4

Calculation results of example 3.

Used method	Reduction coefficient	Iteration times	Failure probability	Reliability index	Relative error (%)
Monte Carlo method	—	—	1.22 × 10^−2	2.2516	—
Traditional response surface method	—	13	0.82 × 10^−2	2.4015	6.66
The proposed method	0.01	6	0.94 × 10^−2	2.3482	4.29
	0.05	4	0.94 × 10^−2	2.3482	4.29
	0.2	3	0.94 × 10^−2	2.3482	4.29
	0.4	3	0.94 × 10^−2	2.3482	4.29
	0.6	6	0.94 × 10^−2	2.3482	4.29
	0.8	9	0.94 × 10^−2	2.3482	4.29