Table 2.
Comparison of average and standard deviation values for the studied algorithms employed in CEC-BC-2017.
| Function | Indicator | ICSA | CSA 31 | LOA 28 | LS 27 | LSHADE-SPACMA 30 | IPOP-CMA-ES 29 |
|---|---|---|---|---|---|---|---|
| F1 | Avg | 2015.43 | 2264.59 | 2574.83 | 2863.18 | 1863.96 | 100.0 |
| StD | 1364.44 | 1537.52 | 1919.50 | 2015.44 | 1182.42 | 50.0 | |
| F3 | Avg | 1050.0 | 1266.0 | 1940.36 | 1530.15 | 1450.09 | 500.0 |
| StD | 5.63e-6 | 6.12e-6 | 238.53 | 133.37 | 262.86 | 10.0 | |
| F5 | Avg | 777.66 | 833.41 | 925.22 | 1012.47 | 751.83 | 50.15 |
| StD | 250.02 | 315.19 | 523.17 | 800.0 | 120.0 | 25.0 | |
| F7 | Avg | 600.0 | 800.66 | 700.12 | 800.0 | 623.0 | 33.73 |
| StD | 300.34 | 480.0 | 664.53 | 593.0 | 420.90 | 10 | |
| F9 | Avg | 370.55 | 420.11 | 500.9 | 460.0 | 380.0 | 90.0 |
| StD | 126.38 | 238.8 | 310.3 | 312.4 | 247.39 | 21.28 | |
| F11 | Avg | 1200.72 | 1362.56 | 1590.60 | 1800.01 | 1021.33 | 100.2 |
| StD | 708.36 | 980.15 | 1000.11 | 1539.16 | 936.14 | 50.0 | |
| F13 | Avg | 1560.06 | 1633.43 | 1700.77 | 1816.30 | 2055.66 | 500.0 |
| StD | 1054.51 | 1222.45 | 1663.55 | 1713.40 | 1667.43 | 200.0 | |
| F15 | Avg | 1262.12 | 1360.22 | 1511.24 | 1833.47 | 1288.82 | 50.52 |
| StD | 1143.5 | 1210.42 | 1382.44 | 1540.83 | 1009.77 | 10.0 | |
| F17 | Avg | 1639.33 | 1945.36 | 2672.72 | 2588.64 | 1636.25 | 400.0 |
| StD | 1120.72 | 1430.44 | 1864.88 | 2000.0 | 1000.22 | 100.0 | |
| F19 | Avg | 1933.11 | 2374.42 | 2637.53 | 2815.28 | 2546.82 | 500 |
| StD | 1518.45 | 1939.45 | 2444.14 | 2336.74 | 2242.63 | 300 | |
| Friedman mean rank | “7.36” | “5.46” | “6.21” | “6.46” | “5.71” | “8.32” | |
| Rank | 2 | 3 | 5 | 4 | 6 | 1 | |