A Kriging Model-Based Expensive Multiobjective Optimization Algorithm Using R2 Indicator of Expectation Improvement

Table 4

The mean and standard deviation of the IGD value of approximated Pareto set found by ParEGO, MaxMin, and EIR2-EMOA on all test functions.

	ParEGO		MaxMin		EIR2
	Mean	Std	Mean	Std	Mean	Std
TEST1	0.4347	4.88E − 02	0.1939	5.19E − 03	0.1908	4.49E − 03
TEST2	0.0415	1.02E − 02	0.0097	5.06E − 04	0.0097	5.49E − 04
FON	0.0640	3.47E − 02	0.0121	1.05E − 03	0.0109	1.98E − 03
ZDT1	0.0211	2.42E − 03	0.0232	4.17E − 03	0.0096	8.15E − 04
ZDT2	0.0285	1.51E − 02	0.0249	3.26E − 03	0.0126	1.16E − 03
ZDT3	0.0591	9.69E − 03	0.0544	1.21E − 02	0.0143	1.79E − 03
DTLZ2	0.0999	5.40E − 03	0.0992	6.36E − 03	0.0700	4.21E − 03
DTLZ5	0.0289	3.01E − 03	0.0334	4.89E − 03	0.0084	4.72E − 04
DTLZ7	0.1393	1.70E − 02	0.0851	1.25E − 02	0.0576	4.23E − 03