Table 3 The benchmark functions in this paper.
Functions | Source | Dim | Range | \(\:{\varvec{f}}_{\varvec{m}\varvec{i}\varvec{n}}\) | Function type |
|---|---|---|---|---|---|
F1 | CEC 2005 F1 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 0 | unimodal |
F2 | CEC 2005 F3 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 0 | unimodal |
F3 | CEC 2005 F6 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 0 | unimodal |
F4 | CEC 2017 F1 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 100 | unimodal |
F5 | CEC 2005 F8 | 10/30/50/100 | [−500, 500\(\:{]}^{\text{d}\text{i}\text{m}}\) | −418.98\(\:\times\:30\) | multimodal |
F6 | CEC 2005 F10 | 10/30/50/100 | [−32, 32\(\:{]}^{\text{d}\text{i}\text{m}}\) | 0 | multimodal |
F7 | CEC 2005 F12 | 10/30/50/100 | [−50, 50\(\:{]}^{\text{d}\text{i}\text{m}}\) | 0 | multimodal |
F8 | CEC 2005 F14 | 2 | [−65.536, 65.536] | ≈ 0.998 | multimodal |
F9 | CEC 2005 F16 | 2 | [−5, 5\(\:{]}^{\text{d}\text{i}\text{m}}\) | ≈ −1.0316 | multimodal |
F10 | CEC 2005 F19 | 3 | [0, 1\(\:{]}^{\text{d}\text{i}\text{m}}\) | ≈ −3.86 | multimodal |
F11 | CEC 2005 F21 | 4 | [0, 10\(\:{]}^{\text{d}\text{i}\text{m}}\) | ≈ −10.1532 | multimodal |
F12 | CEC 2005 F23 | 4 | [0, 10\(\:{]}^{\text{d}\text{i}\text{m}}\) | ≈ −10.5364 | multimodal |
F13 | CEC 2017 F4 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 400 | multimodal |
F14 | CEC 2017 F6 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 600 | multimodal |
F15 | CEC 2017 F8 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 800 | multimodal |
F16 | CEC 2017 F11 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 1100 | multimodal |
F17 | CEC 2017 F13 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 1300 | hybrid |
F18 | CEC 2017 F15 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 1500 | hybrid |
F19 | CEC 2017 F17 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 1700 | hybrid |
F20 | CEC 2017 F19 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 1900 | hybrid |
F21 | CEC 2017 F21 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 2200 | compositional |
F22 | CEC 2017 F25 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 2500 | compositional |
F23 | CEC 2017 F27 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 2700 | compositional |
F24 | CEC 2017 F29 | 10/30/50/100 | [−100, 100\(\:{]}^{\text{d}\text{i}\text{m}}\) | 2900 | compositional |
