Table 12 Evaluation function for the minimax problems \(FM _{1}-FM _{10}\)
From: A hybrid cuckoo search algorithm with Nelder Mead method for solving global optimization problems
Algorithm | Problem | Avg | SD | %Suc |
|---|---|---|---|---|
HPS2 | \(FM _1\) | 1848.7 | 2619.4 | 99 |
\(FM _2\) | 635.8 | 114.3 | 94 | |
\(FM _3\) | 141.2 | 28.4 | 37 | |
\(FM _4\) | 8948.4 | 5365.4 | 7 | |
\(FM _5\) | 772.0 | 60.8 | 100 | |
\(FM _6\) | 1809.1 | 2750.3 | 94 | |
\(FM _7\) | 4114.7 | 1150.2 | 100 | |
\(FM _8\) | – | – | – | |
\(FM _9\) | 283.0 | 123.9 | 64 | |
\(FM _{10}\) | 324.1 | 173.1 | 100 | |
UPSOm | \(FM _1\) | 1993.8 | 853.7 | 100 |
\(FM _2\) | 1775.6 | 241.9 | 100 | |
\(FM _3\) | 1670.4 | 530.6 | 100 | |
\(FM _4\) | 12,801.5 | 5072.1 | 100 | |
\(FM _5\) | 1701.6 | 184.9 | 100 | |
\(FM _6\) | 18,294.5 | 2389.4 | 100 | |
\(FM _7\) | 3435.5 | 1487.6 | 100 | |
\(FM _8\) | 6618.50 | 2597.54 | 100 | |
\(FM _9\) | 2128.5 | 597.4 | 100 | |
\(FM _{10}\) | 3332.5 | 1775.4 | 100 | |
RWMPSOg | \(FM _1\) | 2415.3 | 1244.2 | 100 |
\(FM _2\) | – | – | – | |
\(FM _3\) | 3991.3 | 2545.2 | 100 | |
\(FM _4\) | 7021.3 | 1241.4 | 100 | |
\(FM _5\) | 2947.8 | 257.0 | 100 | |
\(FM _6\) | 18,520.1 | 776.9 | 100 | |
\(FM _7\) | 1308.8 | 505.5 | 100 | |
\(FM _8\) | – | – | – | |
\(FM _9\) | – | – | – | |
\(FM _{10}\) | 4404.0 | 3308.9 | 100 | |
HCSNM | \(FM _1\) | 705.62 | 14.721 | 100 |
\(FM _2\) | 624.24 | 20.83 | 100 | |
\(FM _3\) | 906.28 | 98.24 | 100 | |
\(FM _4\) | 3162.92 | 218.29 | 90 | |
\(FM _5\) | 670.22 | 11.07 | 100 | |
\(FM _6\) | 4442.76 | 87.159 | 95 | |
\(FM _7\) | 1103.86 | 125.36 | 95 | |
\(FM _8\) | 2629.336 | 84.80 | 75 | |
\(FM _9\) | 2724.78 | 227.24 | 95 | |
\(FM _{10}\) | 977.56 | 176.82 | 100 |