Table 13 HCSNM and other meta-heuristics algorithms for \(FM_1 - FM_{10}\) minmax problems
From: A hybrid cuckoo search algorithm with Nelder Mead method for solving global optimization problems
Function | GA | PSO | FF | GWO | HCSNM |
|---|---|---|---|---|---|
\(FM _1\) | |||||
Avg | 1080.45 | 3535.46 | 1125.61 | 2940.2 | 275.45 |
SD | 83.11 | 491.66 | 189.56 | 490.22 | 6.40 |
\(FM _2\) | |||||
Avg | 1120.15 | 20,000 | 785.17 | 3740.14 | 260.53 |
SD | 65.14 | 0.00 | 31.94 | 712.19 | 21.60 |
\(FM _3\) | |||||
Avg | 1270.65 | 2920.15 | 695.54 | 1120.25 | 262.15 |
SD | 95.26 | 269.48 | 50.03 | 417.04 | 15.68 |
\(FM _4\) | |||||
Avg | 2220.45 | 9155.35 | 1788.26 | 4940.35 | 1704.28 |
SD | 488.45 | 649.12 | 118.09 | 313.60 | 36.63 |
\(FM _5\) | |||||
Avg | 1040.84 | 5680.17 | 582.52 | 3520.45 | 265.54 |
SD | 55.89 | 937.44 | 86.77 | 946.36 | 12.01 |
\(FM _6\) | |||||
Avg | 20,000 | 20,000 | 13,692.13 | 2080.35 | 1658.23 |
SD | 0.00 | 0.00 | 900.12 | 938.33 | 201.92 |
\(FM _7\) | |||||
Avg | 1120.25 | 5643.65 | 2685.25 | 1020.45 | 177.23 |
SD | 65.89 | 4.3.22 | 610.07 | 219.90 | 12.72 |
\(FM _8\) | |||||
Avg | 1280.35 | 20,000 | 7659.45 | 1620.46 | 1555.47 |
SD | 78.23 | 0.00 | 583.21 | 281.25 | 59.97 |
\(FM _9\) | |||||
Avg | 20,000 | 6220.25 | 8147.45 | 3760.54 | 2732.15 |
SD | 0.00 | 727.44 | 1026.22 | 246.52 | 66.84 |
\(FM _{10}\) | |||||
Avg | 1080.65 | 6680.19 | 748.17 | 1630.4 | 489.17 |
SD | 68.15 | 509.34 | 98.59 | 37.36 | 27.29 |