Table 3.

Evaluation results on unimodal functions.

		GA	PSO	GSA	TLBO	MVO	GWO	WOA	TSA	MPA	RSA	AVOA	STBO
F1	Mean	33.35136	0.181599	1.09E−16	9.67E−74	0.160829	7.38E−59	1.50E−154	2.30E−47	8.66E−50	0	0	0
	Best	19.78438	3.14E−05	5.38E−17	4.45E−77	0.092366	4.54E−61	2.90E−169	4.07E−50	3.59E−52	0	0	0
	Worst	56.28509	3.274664	2.92E−16	1.07E−72	0.252881	5.46E−58	2.60E−153	1.26E−46	5.74E−49	0	0	0
	Std	8.395292	0.729657	5.21E−17	2.84E−73	0.040725	1.36E−58	5.80E−154	4.15E−47	1.43E−49	0	0	0
	Median	33.26899	0.007379	1.02E−16	2.37E−75	0.160607	1.43E−59	1.80E−161	3.45E−48	2.18E−50	0	0	0
	Rank	10	9	7	3	8	4	2	6	5	1	1	1
F2	Mean	3.188112	1.419726	5.33E−08	1.11E−38	0.252866	7.55E−35	7.60E−104	2.32E−28	5.72E−28	0	1.85E−267	0
	Best	1.869152	0.080876	3.98E−08	1.43E−39	0.150256	7.14E−36	7.70E−113	1.68E−30	3.30E−30	0	0	0
	Worst	4.515361	13.77933	8.14E−08	6.19E−38	0.471703	2.23E−34	5.80E−103	3.62E−27	3.98E−27	0	3.71E−266	0
	Std	0.693334	3.034488	1.02E−08	1.58E−38	0.069403	7.49E−35	1.60E−103	8.02E−28	9.79E−28	0	0	0
	Med	3.32271	0.434611	5.30E−08	4.37E−39	0.239383	3.76E−35	6.30E−107	2.23E−29	2.02E−28	0	1.61E−289	0
	Rank	11	10	8	4	9	5	3	6	7	1	2	1
F3	Mean	2125.752	1094.128	480.8968	2.60E−24	12.60085	9.67E−14	22,774.89	2.13E−11	8.45E−13	0	0	0
	Best	1111.139	29.63701	218.105	3.17E−28	4.866897	2.26E−19	8159.212	8.49E−20	1.16E−19	0	0	0
	Worst	2997.68	5273.106	804.0185	2.31E−23	20.88111	1.92E−12	37,690.63	2.08E−10	7.29E−12	0	0	0
	Std	495.7954	1618.416	149.9243	5.49E−24	4.434706	4.29E−13	8502.149	6.29E−11	1.75E−12	0	0	0
	Median	2238.566	428.5796	458.5233	2.42E−25	13.20446	3.96E−17	21,453.44	2.66E−14	3.20E−14	0	0	0
	Rank	9	8	7	2	6	3	10	5	4	1	1	1
F4	Mean	3.210794	6.507623	0.993225	1.93E−30	0.611151	2.22E−14	37.28855	0.003514	2.71E−19	0	1.29E−264	0
	Best	2.113563	3.511675	1.27E−08	1.32E−31	0.284853	6.78E−16	1.331001	1.18E−05	7.45E−20	0	6.83E−306	0
	Worst	4.712766	10.14096	4.183409	5.42E−30	1.408459	1.06E−13	80.18979	0.016565	6.16E−19	0	2.09E−263	0
	Std	0.64983	1.970793	1.230111	1.65E−30	0.293951	3.30E−14	29.04785	0.004762	1.37E−19	0	0	0
	Med	3.135406	6.130021	0.579869	1.67E−30	0.563237	7.57E−15	26.40247	0.001683	2.83E−19	0	3.21E−286	0
	Rank	9	10	8	3	7	5	11	6	4	1	2	1
F5	Mean	420.6	112.2916	43.52647	26.53115	308.8081	26.83281	27.0278	28.46818	23.58215	10.13576	1.667E−05	0
	Best	227.4906	30.07967	25.05162	26.03302	27.29038	25.32729	26.49484	27.13541	23.00782	1.72E−28	3.862E−07	0
	Worst	688.7775	400.1077	177.7903	28.75063	2557.854	28.5481	27.97937	29.2537	24.95884	28.99011	6.931E−05	0
	Std	122.0165	85.2441	39.12394	0.592674	622.6938	0.947923	0.328332	0.570757	0.516114	14.17161	1.81E−05	0
	Median	386.0621	84.06704	26.38317	26.35271	31.67272	26.5829	26.96864	28.6545	23.39152	5.80E−26	9.586E−06	0
	Rank	12	10	9	5	11	6	7	8	4	3	2	1
F6	Mean	34.0323	0.028587	1.13E−16	1.18022	0.159222	0.640991	0.119577	3.83522	2.08E−09	6.617444	4.418E−08	0
	Best	14.51884	9.98E−06	4.11E−17	0.572861	0.084059	1.14E−05	0.011797	2.823119	9.15E−10	3.624796	4.244E−09	0
	Worst	71.07024	0.324785	2.43E−16	1.754355	0.247305	1.7184	0.366934	4.774542	6.27E−09	7.498843	1.142E−07	0
	Std	15.19874	0.074692	4.95E−17	0.316997	0.046291	0.371946	0.110996	0.566697	1.13E−09	1.018988	2.515E−08	0
	Med	29.14039	0.00087	1.02E−16	1.223701	0.16068	0.748235	0.082192	3.934263	1.91E−09	7.154133	4.048E−08	0
	Rank	12	5	2	9	7	8	6	10	3	11	4	1
F7	Mean	0.009847	0.166943	0.067112	0.001589	0.00965	0.00083	0.001159	0.004861	0.000518	0.000103	6.378E−05	1.24E−05
	Best	0.006283	0.082498	0.019988	0.000338	0.004902	0.000262	2.80E−06	0.002251	0.000114	1.21E−05	2.674E−06	2.33E−06
	Worst	0.01905	0.289493	0.255451	0.004146	0.020283	0.002168	0.005668	0.010801	0.001654	0.000304	0.000242	3.79E−05
	Std	0.003084	0.052796	0.050227	0.000938	0.003826	0.00054	0.001539	0.002418	0.000365	8.26E−05	6.295E−05	9.87E−06
	Median	0.009485	0.159235	0.05478	0.001583	0.008695	0.000638	0.000632	0.004281	0.00041	9.22E−05	4.037E−05	8.63E−06
	Rank	10	12	11	7	9	5	6	8	4	3	2	1
Sum rank		73	64	52	33	57	36	45	49	31	21	14	7
Mean rank		10.428571	9.1428571	7.4285714	4.7142857	8.1428571	5.1428571	6.4285714	7	4.4285714	3	2	1
Total rank		12	11	9	5	10	6	7	8	4	3	2	1