Sensitivity Analysis Based on Polynomial Chaos Expansions and Its Application in Ship Uncertainty-Based Design Optimization

Table 8

Sensitivity indices of the objective and constraints.

	PCE	Sobol’	PCE	Sobol’	PCE	Sobol	PCE	Sobol’
	0.8692	0.8857	0.8842	0.8302	0	0	0.8507	0.8925
	0.0615	0.0637	0.0595	0.0582	0	0	0.0649	0.0712
	0.0002	0.0012	0.0002	0.0004	0.9999	0.9249	0.0023	0.0021
	0.0136	0.0153	0.0128	0.0139	0	0	0.0148	0.151
	0.0006	0.0005	0.0005	0.0005	0	0	0.0007	0.0006
	0.9238	0.9159	0.9267	0.9451	0	0	0.9169	0.9237
	0.1060	0.1155	0.0945	0.1151	0	0	0.1180	0.1244
	0.0002	0.0003	0.0002	0.0002	0.9999	0.9249	0.0027	0.0031
	0.0241	0.0230	0.0208	0.0314	0	0	0.0279	0.0293
	0.0011	0.0020	0.0009	0.0012	0	0	0.0013	0.0021