Table 8.

CEC2017 test function optimization results.

Function	Index	GJO	SABO	SCSO	POA	SCA	OOA	IOOA
F11	Mean	$1.23\times {10}^{10}$	$9.84\times {10}^9$	$8.33\times {10}^9$	$1.48\times {10}^{10}$	$1.88\times {10}^{10}$	$5.77\times {10}^{10}$	$\mathbf{4}.\mathbf{51}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$3.71\times {10}^9$	$3.41\times {10}^9$	$3.65\times {10}^9$	$5.65\times {10}^9$	$2.81\times {10}^9$	$8.54\times {10}^9$	$\mathbf{4}.\mathbf{97}\times {\mathbf{10}}^{\mathbf{3}}$
	Rank	4	3	2	5	6	7	1
F12	Mean	$5.59\times {10}^4$	$5.45\times {10}^4$	$5.05\times {10}^4$	$\mathbf{3}.\mathbf{28}\times {\mathbf{10}}^{\mathbf{4}}$	$7.30\times {10}^4$	$9.01\times {10}^4$	$3.58\times {10}^4$
	Std	$1.05\times {10}^4$	$1.02\times {10}^4$	$1.10\times {10}^4$	$8.77\times {10}^3$	$1.40\times {10}^4$	$7.84\times {10}^3$	$\mathbf{7}.\mathbf{08}\times {\mathbf{10}}^{\mathbf{3}}$
	Rank	5	4	3	1	6	7	2
F13	Mean	$1.26\times {10}^3$	$1.75\times {10}^3$	$9.93\times {10}^2$	$1.93\times {10}^3$	$2.45\times {10}^3$	$1.52\times {10}^4$	$\mathbf{4}.\mathbf{93}\times {\mathbf{10}}^{\mathbf{2}}$
	Std	$5.85\times {10}^2$	$1.27\times {10}^3$	$4.91\times {10}^2$	$1.20\times {10}^3$	$7.26\times {10}^2$	$3.70\times {10}^3$	$\mathbf{2}.\mathbf{39}\times {\mathbf{10}}^{\mathbf{1}}$
	Rank	3	4	2	5	6	7	1
F14	Mean	$9.75\times {10}^2$	$1.08\times {10}^3$	$9.97\times {10}^2$	$9.87\times {10}^2$	$1.09\times {10}^3$	$1.14\times {10}^3$	$\mathbf{9}.\mathbf{66}\times {\mathbf{10}}^{\mathbf{2}}$
	Std	$4.39\times {10}^1$	$3.33\times {10}^1$	$2.87\times {10}^1$	$2.24\times {10}^1$	$\mathbf{2}.\mathbf{08}\times {\mathbf{10}}^{\mathbf{1}}$	$2.55\times {10}^1$	$2.09\times {10}^1$
	Rank	2	5	4	3	6	7	1
F15	Mean	$3.05\times {10}^3$	$4.88\times {10}^3$	$2.72\times {10}^3$	$2.07\times {10}^3$	$3.12\times {10}^3$	$9.08\times {10}^3$	$\mathbf{1}.\mathbf{27}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$1.46\times {10}^3$	$1.47\times {10}^3$	$1.57\times {10}^3$	$6.98\times {10}^3$	$7.10\times {10}^2$	$2.20\times {10}^3$	$\mathbf{7}.\mathbf{51}\times {\mathbf{10}}^{\mathbf{1}}$
	Rank	4	6	3	2	5	7	1
F16	Mean	$1.09\times {10}^9$	$5.87\times {10}^8$	$1.92\times {10}^8$	$1.34\times {10}^9$	$2.13\times {10}^9$	$1.26\times {10}^{10}$	$\mathbf{2}.\mathbf{81}\times {\mathbf{10}}^{\mathbf{6}}$
	Std	$9.31\times {10}^8$	$4.48\times {10}^8$	$3.29\times {10}^8$	$1.28\times {10}^9$	$6.06\times {10}^8$	$3.60\times {10}^9$	$\mathbf{4}.\mathbf{53}\times {\mathbf{10}}^{\mathbf{6}}$
	Rank	4	3	2	5	6	7	1
F17	Mean	$3.31\times {10}^8$	$6.14\times {10}^7$	$7.62\times {10}^7$	$1.32\times {10}^7$	$8.33\times {10}^8$	$9.69\times {10}^9$	$\mathbf{2}.\mathbf{68}\times {\mathbf{10}}^{\mathbf{4}}$
	Std	$7.49\times {10}^8$	$1.31\times {10}^8$	$1.50\times {10}^8$	$3.39\times {10}^7$	$4.26\times {10}^8$	$4.45\times {10}^9$	$\mathbf{1}.\mathbf{85}\times {\mathbf{10}}^{\mathbf{4}}$
	Rank	5	4	3	2	6	7	1
F18	Mean	$6.79\times {10}^6$	$6.44\times {10}^5$	$9.91\times {10}^5$	$4.11\times {10}^4$	$4.56\times {10}^7$	$6.40\times {10}^8$	$\mathbf{5}.\mathbf{36}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$1.36\times {10}^7$	$9.01\times {10}^5$	$3.63\times {10}^6$	$2.42\times {10}^4$	$2.62\times {10}^7$	$6.56\times {10}^8$	$\mathbf{4}.\mathbf{69}\times {\mathbf{10}}^{\mathbf{3}}$
	Rank	5	4	3	2	6	7	1
F19	Mean	$2.43\times {10}^7$	$5.57\times {10}^6$	$7.41\times {10}^6$	$1.35\times {10}^6$	$7.57\times {10}^7$	$7.63\times {10}^8$	$\mathbf{8}.\mathbf{49}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$4.30\times {10}^7$	$6.98\times {10}^6$	$2.66\times {10}^7$	$1.79\times {10}^6$	$3.28\times {10}^7$	$5.72\times {10}^8$	$\mathbf{6}.\mathbf{78}\times {\mathbf{10}}^{\mathbf{3}}$
	Rank	5	4	3	2	6	7	1
F20	Mean	$5.62\times {10}^3$	$3.82\times {10}^3$	$4.46\times {10}^3$	$4.89\times {10}^3$	$9.45\times {10}^3$	$9.43\times {10}^3$	$\mathbf{2}.\mathbf{81}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$2.39\times {10}^3$	$1.55\times {10}^3$	$1.79\times {10}^3$	$1.65\times {10}^3$	$1.70\times {10}^3$	$9.31\times {10}^2$	$\mathbf{6}.\mathbf{74}\times {\mathbf{10}}^{\mathbf{2}}$
	Rank	5	2	3	4	7	6	1
F21	Mean	$3.23\times {10}^3$	$3.27\times {10}^3$	$3.13\times {10}^3$	$3.30\times {10}^3$	$3.46\times {10}^3$	$5.02\times {10}^3$	$\mathbf{2}.\mathbf{90}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$1.52\times {10}^2$	$1.37\times {10}^2$	$1.04\times {10}^2$	$1.86\times {10}^2$	$1.78\times {10}^2$	$4.53\times {10}^2$	$\mathbf{1}.\mathbf{64}\times {\mathbf{10}}^{\mathbf{1}}$
	Rank	3	5	2	4	6	7	1
F22	Mean	$6.01\times {10}^3$	$8.05\times {10}^3$	$6.66\times {10}^3$	$7.03\times {10}^3$	$7.49\times {10}^3$	$1.17\times {10}^4$	$\mathbf{4}.\mathbf{18}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$6.70\times {10}^2$	$8.29\times {10}^2$	$1.00\times {10}^3$	$1.52\times {10}^3$	$1.92\times {10}^3$	$1.05\times {10}^3$	$\mathbf{3}.\mathbf{33}\times {\mathbf{10}}^{\mathbf{2}}$
	Rank	2	6	3	4	5	7	1
F23	Mean	$3.93\times {10}^3$	$4.03\times {10}^3$	$3.62\times {10}^3$	$4.05\times {10}^3$	$4.17\times {10}^3$	$7.48\times {10}^3$	$\mathbf{3}.\mathbf{22}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$3.30\times {10}^2$	$3.72\times {10}^2$	$1.75\times {10}^2$	$4.00\times {10}^2$	$2.41\times {10}^2$	$8.04\times {10}^2$	$\mathbf{1}.\mathbf{93}\times {\mathbf{10}}^{\mathbf{1}}$
	Rank	3	5	2	4	6	7	1
F24	Mean	$4.26\times {10}^3$	$5.69\times {10}^3$	$4.51\times {10}^3$	$4.51\times {10}^3$	$5.13\times {10}^3$	$9.05\times {10}^3$	$\mathbf{4}.\mathbf{03}\times {\mathbf{10}}^{\mathbf{3}}$
	Std	$2.61\times {10}^2$	$5.74\times {10}^2$	$3.60\times {10}^2$	$3.17\times {10}^2$	$2.53\times {10}^2$	$3.59\times {10}^3$	$\mathbf{2}.\mathbf{45}\times {\mathbf{10}}^{\mathbf{2}}$
	Rank	2	6	4	3	5	7	1
F25	Mean	$3.59\times {10}^7$	$2.71\times {10}^7$	$1.60\times {10}^7$	$1.21\times {10}^7$	$1.55\times {10}^8$	$1.70\times {10}^9$	$\mathbf{3}.\mathbf{52}\times {\mathbf{10}}^{\mathbf{5}}$
	Std	$2.84\times {10}^7$	$2.36\times {10}^7$	$1.45\times {10}^7$	$7.33\times {10}^6$	$7.10\times {10}^7$	$1.26\times {10}^9$	$\mathbf{8}.\mathbf{52}\times {\mathbf{10}}^{\mathbf{5}}$
	Rank	5	4	3	2	6	7	1
Rank-Count		57	65	42	48	88	104	16
Ave-Rank		3.80	4.33	2.80	3.20	5.87	6.93	1.07
Overall-Rank		4	5	2	3	6	7	1