Research Article

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

Table 5

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

ParEGOMaxMinEIR2
MeanStdMeanStdMeanStd

TEST10.66895.78E − 020.87112.52E − 020.86442.86E − 02
TEST20.28832.95E − 020.61832.66E − 020.60172.54E − 02
FON0.18674.50E − 020.42003.22E − 020.43677.33E − 02
ZDT10.26111.76E − 020.25563.19E − 020.45223.31E − 02
ZDT20.24786.87E − 020.20332.10E − 020.43113.77E − 02
ZDT30.12422.17E − 020.12831.77E − 020.29582.95E − 02
DTLZ20.27521.81E − 020.27332.49E − 020.43812.00E − 02
DTLZ50.16521.27E − 020.12621.64E − 020.35291.09E − 02
DTLZ70.19242.43E − 020.36866.87E − 020.54382.53E − 02