High Dimension Model Representation-Based Response Surface for Reliability Analysis of Tunnel

Table 5

The results and comparison of reliability analysis for horseshoe tunnel.

Method	Reliability index	Design point					Number of iteration
		E(MPa)	c(MPa)	φ(°)	σ1(MPa)	σ3(MPa)
HDMR-RSM	2.336	3200.172	1.002	31.446	12.633	6.994	4
Polynimial RSM	2.341	3338.681	0.945	33.072	13.195	7.109	5
LSSVM-RSM	2.347	3125.139	0.990	32.178	12.564	6.915	4
Relative error (%)	0.214	4.149	5.983	4.916	4.263	2.325	-