Table 23 Rankings are based on t-tests of recent algorithms for the 51 benchmark functions.
From: Learning cooking algorithm for solving global optimization problems
\({\text {Functions}}\) | \({\text {IGWO}}\) | \({\text {MWOA}}\) | \({\text {TLBO}}\) | \({\text {MTBO}}\) | \({\text {BWO}}\) | \({\text {HHO}}\) | \({\text {MGO}}\) | \({\text {SCSO}}\) | \({\text {LCA}}\) |
|---|---|---|---|---|---|---|---|---|---|
F1 | 5 | 2 | 1 | 3 | 1 | 1 | 4 | 1 | 1 |
F2 | 8 | 3 | 7 | 5 | 1 | 4 | 6 | 2 | 1 |
F3 | 4 | 7 | 6 | 5 | 1 | 2 | 3 | 1 | 1 |
F4 | 6 | 8 | 7 | 4 | 1 | 2 | 5 | 3 | 1 |
F5 | 8 | 6 | 3 | 9 | 2 | 7 | 5 | 4 | 1 |
F6 | 8 | 7 | 4 | 3 | 5 | 6 | 2 | 9 | 1 |
F7 | 9 | 5 | 8 | 7 | 4 | 2 | 6 | 3 | 1 |
F8 | 5 | 6 | 8 | 7 | 1 | 4 | 2 | 9 | 3 |
F9 | 3 | 1 | 2 | 4 | 1 | 1 | 1 | 1 | 1 |
F10 | 4 | 5 | 6 | 7 | 2 | 2 | 3 | 2 | 1 |
F11 | 4 | 2 | 1 | 3 | 1 | 1 | 1 | 1 | 1 |
F12 | 8 | 4 | 2 | 5 | 3 | 6 | 9 | 7 | 1 |
F13 | 2 | 7 | 5 | 6 | 4 | 3 | 9 | 8 | 1 |
F14 | 6 | 3 | 6 | 6 | 5 | 2 | 6 | 4 | 1 |
F15 | 2 | 7 | 3 | 4 | 8 | 9 | 6 | 5 | 1 |
F16 | 6 | 3 | 6 | 6 | 2 | 5 | 6 | 4 | 1 |
F17 | 2 | 3 | 2 | 2 | 5 | 4 | 2 | 2 | 1 |
F18 | 2 | 4 | 2 | 2 | 6 | 5 | 3 | 7 | 1 |
F19 | 1 | 4 | 7 | 1 | 6 | 2 | 1 | 3 | 5 |
F20 | 7 | 3 | 8 | 5 | 6 | 1 | 4 | 2 | 9 |
F21 | 2 | 4 | 2 | 5 | 6 | 3 | 7 | 8 | 1 |
F22 | 2 | 8 | 6 | 7 | 3 | 5 | 1 | 9 | 4 |
F23 | 2 | 7 | 5 | 6 | 3 | 9 | 1 | 8 | 4 |
F24 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F25 | 5 | 2 | 1 | 4 | 1 | 1 | 3 | 1 | 1 |
F26 | 1 | 3 | 1 | 1 | 4 | 1 | 1 | 1 | 2 |
F27 | 1 | 2 | 1 | 1 | 1 | 3 | 1 | 4 | 1 |
F28 | 1 | 1 | 1 | 2 | 1 | 1 | 1 | 1 | 1 |
F29 | 9 | 5 | 3 | 2 | 6 | 7 | 4 | 8 | 1 |
F30 | 4 | 6 | 4 | 4 | 3 | 5 | 1 | 2 | 1 |
F31 | 3 | 5 | 3 | 4 | 7 | 6 | 3 | 2 | 1 |
F32 | 2 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 1 |
F33 | 6 | 5 | 3 | 4 | 1 | 1 | 2 | 1 | 1 |
F34 | 7 | 5 | 2 | 3 | 8 | 4 | 1 | 6 | 1 |
F35 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F36 | 1 | 3 | 1 | 1 | 5 | 2 | 1 | 4 | 1 |
F37 | 2 | 5 | 2 | 2 | 6 | 4 | 2 | 3 | 1 |
F38 | 3 | 2 | 6 | 8 | 7 | 1 | 5 | 4 | 9 |
F39 | 4 | 8 | 3 | 7 | 5 | 6 | 2 | 1 | 9 |
F40 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F41 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F42 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F43 | 4 | 2 | 8 | 7 | 6 | 3 | 1 | 5 | 1 |
F44 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F45 | 1 | 2 | 1 | 1 | 3 | 1 | 1 | 4 | 1 |
F46 | 1 | 2 | 1 | 1 | 4 | 3 | 1 | 2 | 1 |
F47 | 1 | 8 | 6 | 4 | 3 | 2 | 1 | 7 | 5 |
F48 | 1 | 9 | 3 | 4 | 8 | 5 | 2 | 7 | 6 |
F49 | 1 | 4 | 1 | 2 | 3 | 1 | 1 | 5 | 1 |
F50 | 1 | 3 | 1 | 1 | 4 | 1 | 1 | 2 | 1 |
F51 | 1 | 4 | 1 | 1 | 3 | 1 | 1 | 2 | 1 |
Sum of ranks | 172 | 203 | 167 | 185 | 173 | 152 | 136 | 182 | 97 |
Mean of ranks | 3.3725 | 3.9803 | 3.2745 | 3.6274 | 3.3921 | 2.9803 | 2.6666 | 3.5686 | 1.9019 |
Overall ranks | 5 | 9 | 4 | 8 | 6 | 3 | 2 | 7 | 1 |
