Table 22 Rankings are based on t-tests of well-known & top-performing algorithms for the 51 benchmark functions.
From: Learning cooking algorithm for solving global optimization problems
\({\text {Functions}}\) | \({\text {PSO}}\) | \({\text {TSA}}\) | \({\text {SSA}}\) | \({\text {MVO}}\) | \({\text {GWO}}\) | \({\text {WOA}}\) | \({\text {GJO}}\) | \({\text {LSHADE}}\) | \({\text {CMAES}}\) | \({\text {LCA}}\) |
|---|---|---|---|---|---|---|---|---|---|---|
F1 | 6 | 3 | 9 | 8 | 4 | 1 | 2 | 5 | 7 | 1 |
F2 | 8 | 3 | 6 | 10 | 7 | 2 | 5 | 4 | 9 | 1 |
F3 | 9 | 4 | 5 | 10 | 3 | 8 | 2 | 6 | 7 | 1 |
F4 | 10 | 3 | 6 | 7 | 5 | 4 | 2 | 9 | 8 | 1 |
F5 | 4 | 6 | 2 | 3 | 10 | 8 | 7 | 5 | 9 | 1 |
F6 | 6 | 10 | 7 | 9 | 8 | 4 | 3 | 2 | 5 | 1 |
F7 | 10 | 8 | 7 | 9 | 3 | 2 | 4 | 6 | 5 | 1 |
F8 | 5 | 7 | 1 | 9 | 9 | 3 | 6 | 4 | 2 | 2 |
F9 | 7 | 5 | 6 | 4 | 3 | 1 | 1 | 2 | 8 | 1 |
F10 | 2 | 3 | 5 | 6 | 9 | 4 | 10 | 8 | 7 | 1 |
F11 | 6 | 4 | 5 | 7 | 2 | 1 | 1 | 3 | 1 | 1 |
F12 | 5 | 9 | 8 | 6 | 7 | 4 | 10 | 2 | 3 | 1 |
F13 | 3 | 10 | 4 | 8 | 9 | 7 | 6 | 2 | 5 | 1 |
F14 | 5 | 6 | 2 | 1 | 3 | 4 | 9 | 8 | 7 | 1 |
F15 | 9 | 5 | 10 | 6 | 4 | 7 | 3 | 2 | 8 | 1 |
F16 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
F17 | 2 | 4 | 2 | 2 | 6 | 2 | 5 | 1 | 2 | 3 |
F18 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 |
F19 | 2 | 3 | 2 | 2 | 4 | 5 | 7 | 1 | 2 | 6 |
F20 | 3 | 7 | 5 | 4 | 6 | 9 | 8 | 1 | 2 | 10 |
F21 | 7 | 8 | 4 | 5 | 2 | 3 | 6 | 9 | 1 | 1 |
F22 | 6 | 6 | 4 | 7 | 8 | 5 | 3 | 1 | 2 | 2 |
F23 | 6 | 9 | 5 | 7 | 3 | 8 | 4 | 1 | 2 | 2 |
F24 | 1 | 4 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
F25 | 4 | 5 | 9 | 8 | 6 | 2 | 3 | 7 | 10 | 1 |
F26 | 1 | 7 | 6 | 5 | 5 | 1 | 2 | 1 | 3 | 4 |
F27 | 1 | 3 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 |
F28 | 3 | 1 | 4 | 5 | 1 | 1 | 1 | 2 | 1 | 1 |
F29 | 7 | 5 | 2 | 4 | 8 | 6 | 9 | 1 | 3 | 1 |
F30 | 2 | 7 | 3 | 4 | 6 | 5 | 5 | 4 | 1 | 4 |
F31 | 3 | 8 | 2 | 6 | 6 | 5 | 6 | 7 | 1 | 4 |
F32 | 5 | 3 | 8 | 7 | 4 | 1 | 1 | 2 | 6 | 1 |
F33 | 8 | 5 | 6 | 10 | 4 | 3 | 2 | 7 | 9 | 1 |
F34 | 2 | 8 | 7 | 5 | 9 | 3 | 4 | 1 | 6 | 1 |
F35 | 1 | 1 | 3 | 2 | 1 | 1 | 1 | 1 | 1 | 1 |
F36 | 1 | 2 | 4 | 5 | 7 | 6 | 3 | 1 | 1 | 1 |
F37 | 2 | 5 | 3 | 4 | 4 | 4 | 4 | 4 | 1 | 4 |
F38 | 2 | 6 | 7 | 3 | 8 | 9 | 5 | 1 | 4 | 10 |
F39 | 2 | 6 | 7 | 3 | 4 | 9 | 2 | 1 | 5 | 10 |
F40 | 1 | 1 | 2 | 3 | 1 | 1 | 1 | 1 | 4 | 1 |
F41 | 1 | 1 | 2 | 4 | 1 | 1 | 1 | 1 | 3 | 1 |
F42 | 1 | 2 | 3 | 4 | 1 | 5 | 1 | 1 | 6 | 1 |
F43 | 1 | 5 | 1 | 1 | 4 | 1 | 2 | 3 | 6 | 1 |
F44 | 1 | 1 | 3 | 1 | 1 | 1 | 1 | 1 | 2 | 1 |
F45 | 1 | 5 | 4 | 7 | 8 | 2 | 6 | 1 | 3 | 1 |
F46 | 1 | 2 | 1 | 1 | 1 | 1 | 2 | 1 | 1 | 1 |
F47 | 1 | 6 | 8 | 9 | 4 | 7 | 5 | 1 | 2 | 3 |
F48 | 1 | 4 | 8 | 5 | 3 | 9 | 7 | 1 | 2 | 6 |
F49 | 4 | 6 | 7 | 9 | 8 | 2 | 5 | 1 | 3 | 1 |
F50 | 1 | 6 | 7 | 2 | 4 | 3 | 8 | 1 | 5 | 1 |
F51 | 2 | 4 | 9 | 6 | 8 | 5 | 7 | 1 | 3 | 1 |
Sum of ranks | 184 | 244 | 236 | 260 | 238 | 192 | 204 | 142 | 201 | 109 |
Mean of ranks | 3.6078 | 4.7843 | 4.6274 | 5.0980 | 4.6666 | 3.7647 | 4.0000 | 2.7843 | 3.9411 | 2.1372 |
Overall ranks | 3 | 9 | 7 | 10 | 8 | 4 | 6 | 2 | 5 | 1 |
