Table 7 The comparisons between CCCA and other algorithms on fixed-dimension multimodal test functions.
From: A novel meta-heuristic algorithm based on candidate cooperation and competition
Function | Statistic | PSO | FA | CSA | HMS | ICA | TLBO | BSO |
|---|---|---|---|---|---|---|---|---|
\({{{F}}_{14}}(x)\) | Best | Â | \(\times\) | Â | Â | Â | Â | Â |
Ave | \(\times\) | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Std | \(\times\) | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | \(\times\) | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\checkmark\) | |
\({{{F}}_{15}}(x)\) | Best | Â | \(\times\) | \(\times\) | \(\times\) | Â | \(\times\) | \(\times\) |
Ave | Â | \(\times\) | \(\times\) | \(\times\) | Â | \(\times\) | \(\times\) | |
Std | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{16}}(x)\) | Best | Â | Â | Â | \(\times\) | Â | Â | Â |
Ave | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | \(\times\) | |
Std | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | \(\times\) | |
Least | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{17}}(x)\) | Best | Â | Â | Â | Â | Â | \(\times\) | Â |
Ave | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | Â | |
Std | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | Â | |
Least | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{18}}(x)\) | Best | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | \(\times\) |
Ave | Â | \(\times\) | Â | \(\times\) | Â | \(\times\) | \(\times\) | |
Std | Â | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{19}}(x)\) | Best | Â | Â | Â | \(\times\) | Â | \(\times\) | \(\times\) |
Ave | Â | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Std | Â | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | Â | \(\times\) | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{20}}(x)\) | Best | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) |
Ave | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Std | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{21}}(x)\) | Best | Â | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) |
Ave | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Std | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{22}}(x)\) | Best | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) |
Ave | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Std | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\times\) | \(\checkmark\) | \(\times\) | |
\({{{F}}_{23}}(x)\) | Best | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) |
Ave | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Std | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Least | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | \(\times\) | |
Time(s) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\times\) | \(\checkmark\) | \(\checkmark\) | \(\times\) |
