Research Article

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

Table 3

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

ParEGOMaxMinEIR2
MeanStdMeanStdMeanStd

TEST1272.20241.71E + 00278.86261.03E − 01279.02288.64E − 02
TEST20.69008.02E − 030.72271.49E − 030.72337.44E − 04
FON0.45833.10E − 020.53242.21E − 030.53643.08E − 03
ZDT10.84685.53E − 030.84635.01E − 030.86431.08E − 03
ZDT20.50572.14E − 020.51214.63E − 030.53121.04E − 03
ZDT31.29258.52E − 031.29464.72E − 021.32301.14E − 03
DTLZ20.64999.69E − 030.70785.60E − 030.73782.85E − 03
DTLZ50.40985.02E − 030.41513.90E − 030.43583.45E − 04
DTLZ71.54102.31E − 021.63332.72E − 021.68583.39E − 03