Table A6.

The Wilcoxon Test Result Between ESOA And Other Algorithm On CEC05 Benchmark Functions.

		ESOA vs. PSO	ESOA vs. GA	ESOA vs. DE	ESOA vs. GWO	ESOA vs. HHO
F1	30	$1.25\times {10}^{-83}$	$1.08\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.26\times {10}^{-83}$	$1.24\times {10}^{-78}$
	50	$1.25\times {10}^{-83}$	$1.19\times {10}^{-83}$	$1.24\times {10}^{-83}$	$1.26\times {10}^{-83}$	$7.18\times {10}^{-84}$
	100	$1.25\times {10}^{-83}$	$1.19\times {10}^{-83}$	$1.19\times {10}^{-83}$	$1.26\times {10}^{-83}$	$1.79\times {10}^{-72}$
	200	$1.26\times {10}^{-83}$	$1.20\times {10}^{-83}$	$1.17\times {10}^{-83}$	$1.26\times {10}^{-83}$	$1.14\times {10}^{-83}$
	500	$1.26\times {10}^{-83}$	$1.23\times {10}^{-83}$	$1.11\times {10}^{-83}$	$1.26\times {10}^{-83}$	$2.46\times {10}^{-71}$
	1000	$1.26\times {10}^{-83}$	$1.18\times {10}^{-83}$	$1.14\times {10}^{-83}$	$1.26\times {10}^{-83}$	$7.92\times {10}^{-80}$
F2	30	$1.24\times {10}^{-83}$	$5.74\times {10}^{-84}$	$1.24\times {10}^{-83}$	$1.26\times {10}^{-83}$	$3.95\times {10}^{-81}$
	50	$1.21\times {10}^{-83}$	$1.16\times {10}^{-83}$	$1.20\times {10}^{-83}$	$1.26\times {10}^{-83}$	$3.95\times {10}^{-76}$
	100	$1.17\times {10}^{-83}$	$1.18\times {10}^{-83}$	$9.69\times {10}^{-84}$	$1.26\times {10}^{-83}$	$1.17\times {10}^{-83}$
	200	$1.17\times {10}^{-83}$	$1.19\times {10}^{-83}$	$9.72\times {10}^{-84}$	$1.26\times {10}^{-83}$	$1.17\times {10}^{-83}$
	500	N/A	N/A	N/A	N/A	N/A
	1000	N/A	N/A	N/A	N/A	N/A
F3	30	$1.25\times {10}^{-83}$	$9.83\times {10}^{-84}$	$4.34\times {10}^{-84}$	$1.26\times {10}^{-83}$	$9.33\times {10}^{-84}$
	50	$1.25\times {10}^{-83}$	$4.89\times {10}^{-84}$	$1.60\times {10}^{-85}$	$1.26\times {10}^{-83}$	$1.17\times {10}^{-83}$
	100	$1.25\times {10}^{-83}$	$9.60\times {10}^{-84}$	$1.22\times {10}^{-84}$	$1.24\times {10}^{-83}$	$1.22\times {10}^{-83}$
	200	$1.24\times {10}^{-83}$	$8.98\times {10}^{-84}$	$7.49\times {10}^{-87}$	$1.20\times {10}^{-83}$	$1.20\times {10}^{-83}$
	500	$1.25\times {10}^{-83}$	$1.12\times {10}^{-83}$	$3.23\times {10}^{-93}$	$1.21\times {10}^{-83}$	$1.18\times {10}^{-83}$
	1000	$1.24\times {10}^{-83}$	$9.83\times {10}^{-84}$	$2.23\times {10}^{-86}$	$1.12\times {10}^{-83}$	$1.20\times {10}^{-83}$
F4	30	$1.25\times {10}^{-83}$	$2.89\times {10}^{-84}$	$7.11\times {10}^{-84}$	$1.26\times {10}^{-83}$	$1.03\times {10}^{-83}$
	50	$1.25\times {10}^{-83}$	$4.69\times {10}^{-84}$	$0.00$	$1.26\times {10}^{-83}$	$1.01\times {10}^{-83}$
	100	$1.25\times {10}^{-83}$	$5.11\times {10}^{-84}$	$0.00$	$1.26\times {10}^{-83}$	$1.88\times {10}^{-77}$
	200	$1.24\times {10}^{-83}$	$3.31\times {10}^{-84}$	$0.00$	$1.26\times {10}^{-83}$	$9.45\times {10}^{-84}$
	500	$1.24\times {10}^{-83}$	$6.96\times {10}^{-84}$	$0.00$	$1.23\times {10}^{-83}$	$1.73\times {10}^{-82}$
	1000	$1.24\times {10}^{-83}$	$2.32\times {10}^{-84}$	$0.00$	$1.21\times {10}^{-83}$	$3.58\times {10}^{-68}$
F5	30	$1.24\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.25\times {10}^{-83}$	$3.32\times {10}^{-45}$	$5.66\times {10}^{-76}$
	50	$1.25\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.23\times {10}^{-83}$	$1.70\times {10}^{-42}$	$1.43\times {10}^{-73}$
	100	$1.26\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.24\times {10}^{-83}$	$2.07\times {10}^{-32}$	$2.28\times {10}^{-72}$
	200	$1.26\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.24\times {10}^{-83}$	$4.61\times {10}^{-27}$	$1.46\times {10}^{-73}$
	500	$1.25\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.22\times {10}^{-83}$	$1.23\times {10}^{-21}$	$3.57\times {10}^{-71}$
	1000	$1.23\times {10}^{-83}$	$1.25\times {10}^{-83}$	$1.24\times {10}^{-83}$	$1.58\times {10}^{-20}$	$4.94\times {10}^{-81}$
F6	30	$1.09\times {10}^{-5}$	$1.11\times {10}^{-83}$	$1.32\times {10}^{-35}$	$6.84\times {10}^{-57}$	$1.90\times {10}^{-71}$
	50	$3.27\times {10}^{-37}$	$8.32\times {10}^{-84}$	$1.24\times {10}^{-83}$	$1.16\times {10}^{-52}$	$2.15\times {10}^{-75}$
	100	$4.56\times {10}^{-70}$	$1.14\times {10}^{-83}$	$1.22\times {10}^{-83}$	$1.21\times {10}^{-48}$	$1.28\times {10}^{-81}$
	200	$1.26\times {10}^{-83}$	$1.23\times {10}^{-83}$	$1.19\times {10}^{-83}$	$7.08\times {10}^{-45}$	$1.31\times {10}^{-76}$
	500	$1.26\times {10}^{-83}$	$1.24\times {10}^{-83}$	$1.15\times {10}^{-83}$	$2.79\times {10}^{-42}$	$1.84\times {10}^{-80}$
	1000	$1.26\times {10}^{-83}$	$1.19\times {10}^{-83}$	$1.05\times {10}^{-83}$	$9.72\times {10}^{-41}$	$6.36\times {10}^{-78}$
F7	30	$1.18\times {10}^{-83}$	$1.26\times {10}^{-83}$	$5.19\times {10}^{-84}$	$5.01\times {10}^{-84}$	$5.62\times {10}^{-48}$
	50	$1.20\times {10}^{-83}$	$1.26\times {10}^{-83}$	$7.70\times {10}^{-84}$	$4.89\times {10}^{-84}$	$1.76\times {10}^{-84}$
	100	$1.06\times {10}^{-83}$	$1.26\times {10}^{-83}$	$1.15\times {10}^{-83}$	$5.07\times {10}^{-86}$	$2.27\times {10}^{-85}$
	200	$8.37\times {10}^{-84}$	$1.26\times {10}^{-83}$	$1.16\times {10}^{-83}$	$2.79\times {10}^{-85}$	$2.21\times {10}^{-84}$
	500	$7.59\times {10}^{-84}$	$1.26\times {10}^{-83}$	$1.12\times {10}^{-83}$	$4.72\times {10}^{-84}$	$6.32\times {10}^{-85}$
	1000	$6.86\times {10}^{-95}$	$1.26\times {10}^{-83}$	$1.05\times {10}^{-83}$	$4.75\times {10}^{-84}$	$1.44\times {10}^{-81}$