Table 2 Mathematical Expressions for Standard Unimodal benchmark functions (CEC-2014).
Functions | Dimensions | Range | fmin |
|---|---|---|---|
\({F}_{1}\left(S\right)=\sum_{\stackrel{.}{m}=1}^{z}{S}_{m}^{2}\) | (30, 50, 100) | [− 100, 100] | 0 |
\({F}_{2}\left(S\right)=\sum_{\stackrel{.}{m}=1}^{z}\left|{S}_{m}\right|\)+ \({\prod }_{m=1}^{z}\left|{S}_{m}\right|\) | (30, 50, 100) | [− 10,10] | 0 |
\({F}_{3}\left(S\right)= \sum_{\stackrel{.}{m}=1}^{z}(\sum_{n-1}^{m}{S}_{n}{)}^{2}\) | (30, 50, 100) | [− 100, 100] | 0 |
\({F}_{4}\left(S\right)=max\) m {\(\left|{S}_{m}\right|, 1\)≤ m ≤ z} | (30, 50, 100) | [− 100, 100] | 0 |
\({F}_{5}\left(S\right)=\sum_{\stackrel{.}{m}=1}^{z-1}[100(S\) m+1-\({S}_{m}^{2}\))2 + (\({S}_{m}-1)\)2] | (30, 50, 100) | [− 38, 38] | 0 |
\({F}_{6}\left(S\right)=\sum_{\stackrel{.}{m}=1}^{z}([ {S}_{m}+0.5])\)2 | (30, 50, 100) | [− 100, 100] | 0 |
\({F}_{7}\left(S\right)=\sum_{\stackrel{.}{m}=1}^{z}m{S}_{m}^{4}\)+ random [0,1] | (30, 50, 100) | [− 1.28, 1.28] | 0 |
