Table 6 GD, Spacing, and Spread metrics for algorithms on ZDT1, ZDT2, ZDT3, and ZDT6 test functions.
From: An efficient multi-objective parrot optimizer for global and engineering optimization problems
Algorithm | GD | Spacing | Spread | ||||
|---|---|---|---|---|---|---|---|
Mean | SD | Mean | SD | Mean | SD | ||
ZDT1 | MOPSO | 0.0169 | 0.0009 | 0.0102 | 0.0022 | 0.7864 | 0.0384 |
NSGA-II | 0.0362 | 0.0012 | 0.0111 | 0.0010 | 0.6468 | 0.0340 | |
MOGWO | 0.0227 | 0.0020 | 0.0240 | 0.0066 | 1.0308 | 0.0864 | |
MOWOA | 0.0170 | 0.0061 | 0.0367 | 0.0162 | 1.2024 | 0.0934 | |
MOSMA | 0.0199 | 0.0023 | 0.0134 | 0.0032 | 0.7989 | 0.1624 | |
IMOMRFO | 0.0210 | 0.0019 | 0.0158 | 0.0036 | 0.7948 | 0.0591 | |
MOGTO | 0.0207 | 0.0004 | 0.0110 | 0.0011 | 0.6716 | 0.0534 | |
MOPO | 0.0155 | 0.0004 | 0.0074 | 0.0006 | 0.5858 | 0.0496 | |
ZDT2 | MOPSO | 0.0127 | 0.0010 | 0.0118 | 0.0018 | 1.0182 | 0.0384 |
NSGA-II | 0.0411 | 0.0016 | 0.0095 | 0.0011 | 0.8390 | 0.0390 | |
MOGWO | 0.0014 | 0.0005 | 0.0252 | 0.0070 | 1.0405 | 0.0748 | |
MOWOA | 0.0009 | 0.0018 | 0.0377 | 0.0134 | 1.2256 | 0.1401 | |
MOSMA | 0.0008 | 0.0003 | 0.0141 | 0.0013 | 0.6289 | 0.1016 | |
IMOMRFO | 0.0157 | 0.0039 | 0.0246 | 0.0092 | 1.0168 | 0.0592 | |
MOGTO | 0.0001 | 0.0001 | 0.0122 | 0.0013 | 0.4235 | 0.0443 | |
MOPO | 0.0001 | 0.0001 | 0.0086 | 0.0009 | 0.5597 | 0.0938 | |
ZDT3 | MOPSO | 0.1471 | 0.0095 | 0.0540 | 0.0193 | 0.8124 | 0.0291 |
NSGA-II | 0.2749 | 0.0221 | 0.0243 | 0.0036 | 0.8045 | 0.0367 | |
MOGWO | 0.1554 | 0.0890 | 0.3332 | 0.1904 | 1.0405 | 0.2072 | |
MOWOA | 0.2746 | 0.2628 | 0.1685 | 0.0880 | 0.8551 | 0.1449 | |
MOSMA | 0.0076 | 0.0023 | 0.0429 | 0.0087 | 1.0815 | 0.1540 | |
IMOMRFO | 0.7389 | 0.1966 | 0.2266 | 0.1359 | 0.8848 | 0.0626 | |
MOGTO | 0.0005 | 0.0004 | 0.0389 | 0.0365 | 0.7421 | 0.2700 | |
MOPO | 0.0002 | 0.0000 | 0.0132 | 0.0006 | 0.7550 | 0.0972 | |
ZDT6 | MOPSO | 5.5101 | 4.6479 | 0.2827 | 0.3404 | 0.9385 | 0.1266 |
NSGA-II | 4.1147 | 0.8008 | 0.5229 | 0.4140 | 1.2641 | 0.1916 | |
MOGWO | 4.3840 | 3.2942 | 0.8561 | 0.6238 | 1.1644 | 0.2132 | |
MOWOA | 4.2619 | 2.4773 | 0.7543 | 0.8167 | 1.3316 | 0.2093 | |
MOSMA | 2.4718 | 0.8532 | 1.9221 | 0.7057 | 1.3349 | 0.3132 | |
IMOMRFO | 2.1858 | 1.3401 | 1.8867 | 1.8246 | 1.4996 | 0.3513 | |
MOGTO | 3.3656 | 0.4054 | 2.3782 | 1.2591 | 1.6145 | 0.1913 | |
MOPO | 1.7742 | 1.0307 | 0.3543 | 0.4001 | 1.2542 | 0.2332 | |