Application and Development of Enhanced Chaotic Grasshopper Optimization Algorithms

Table 3

Results and comparison of ECGOAs with GOA (30-D) on unimodal functions.

Algorithm	Statistical parameters	F1	F2	F3	F4	F5
ECGOA1	Max	4.72E + 03	7.441252	32384.27	5997.771	11547.22
	SD	1189.661	20.48785	8687.739	1448.595	2648.273
	Mean	9.54E + 02	−34.0542	13561.55	519.9767	1515.979
	Min	−33.212	−50	3212.748	−23.8636	−49.6495
ECGOA2	Max	3.67E + 03	6.983289	27021.89	774.8997	7411.605
	SD	1070.123	15.60652	7021.802	235.0562	2190.903
	Mean	8.65E + 02	−33.8791	14337.61	67.54067	1770.953
	Min	−49.6441	−50	3949.875	−22.9774	−46.6215
ECGOA3	Max	2.64E + 03	−10	23806.04	359978.7	4481.247
	SD	806.0854	14.47655	6705.574	80425.93	1249.42
	Mean	5.10E + 02	−32.2934	11977.49	18315.61	891.0015
	Min	−49.7058	−50	1076.156	−23.1032	−45.3564
ECGOA4	Max	1.70E + 03	7.013903	22406.58	5997.795	3592.651
	SD	536.6934	15.66702	5003.504	2352.145	855.4461
	Mean	5.19E + 02	−30.1622	11631.74	1257.859	479.4171
	Min	−44.7163	−50	4640.106	−22.0574	−44.2489
ECGOA5	Max	5.67E + 03	−10.9219	48674.12	359978.5	6140.426
	SD	1268.831	14.3114	11345.15	80389.73	1753.316
	Mean	8.38E + 02	−38.4507	15310.28	18486.14	1587.872
	Min	−40.7524	−50	4158.884	−22.8343	−49.772
ECGOA6	Max	4.56E + 03	27.11865	34182.77	359978.7	9207.069
	SD	1504.872	19.65367	7717.328	80359.56	2300.953
	Mean	1.26E + 03	−35.3059	14001.46	18656.76	1582.863
	Min	−49.5997	−50	3692.072	−22.1018	−49.5038
ECGOA7	Max	4.63E + 03	−30	25403.45	774.9623	9922.265
	SD	1378.628	8.3955	5469.37	333.3362	2460.44
	Mean	1.21E + 03	−44.166	13289.92	179.7019	1421.978
	Min	−45.0917	−50	5563.239	−22.918	−49.0028
ECGOA8	Max	1.68E + 03	5.974824	29394.74	359978.8	1992.826
	SD	480.1784	16.12038	5952.928	80354.38	486.393
	Mean	3.60E + 02	−34.3295	12586.33	18679.3	411.1577
	Min	−49.5353	−50	4302.044	−23.1203	−49.105
ECGOA9	Max	6.40E + 03	27.15447	35257.01	263688.6	8310.101
	SD	1522.377	20.47155	8866.673	58719	1997.682
	Mean	956.9384	−34.7665	15903.13	14423.59	1573.284
	Min	−29.154	−50	2960.342	−22.7203	7.090624
ECGOA10	Max	7.43E + 03	6.999618	28524.88	3813.648	4410.677
	SD	1720.647	15.64801	6605.129	1176.846	1183.068
	Mean	1042.276	−35.9717	10828.61	360.635	1071.854
	Min	−30.8355	−50	1853.837	−23.0794	41.99444
GOA [16]	Max	6.52E + 03	−10	23228.38	5997.962	3775.516
	SD	1578.947	11.67419	5972.024	1329.84	1181.988
	Mean	1276.143	−38.4728	12189.96	554.6474	898.7971
	Min	−43.7533	−50	1178	−22.9119	−49.7339