Application and Development of Enhanced Chaotic Grasshopper Optimization Algorithms

Table 6

Results and comparison of ECGOAs with GOA (50-D) for multimodal functions.

Algorithm	Statistical parameters	F6	F7	F8	F9	F10
ECGOA1	Max	−13284.9	525.3938	−59.4202	1142.297	5.99E + 08
	SD	1468.401	61.31428	0.128399	376.3986	179942439
	Mean	−16012.5	441.7274	−59.6647	474.3385	130982138.6
	Min	−18346	296.6225	−59.8477	80.21982	9945376.637
ECGOA2	Max	−13222.8	568.819	−59.4939	1225.204	518183195.7
	SD	1284.353	59.19765	0.114828	380.9211	161215153.4
	Mean	−15729.6	431.9621	−59.682	526.118	111311331.7
	Min	−17918.7	321.537	−59.9695	92.68036	8548635.153
ECGOA3	Max	−12054.8	615.8589	−59.4566	1189.236	717878837.1
	SD	1475.55	70.58729	0.119339	325.6841	234394118.5
	Mean	−15601.9	455.3608	−59.6446	488.7296	203256596.5
	Min	−18405	313.2195	−59.8967	109.8307	8852551.366
ECGOA4	Max	−12155.6	486.4432	−59.4112	1128.317	802793748.5
	SD	1175.43	50.69295	0.12958	343.5583	260492546.8
	Mean	−15259.2	410.6172	−59.6654	417.0988	194442446.2
	Min	−16864.5	316.0931	−59.8891	77.3793	7577441.415
ECGOA5	Max	−13473.6	536.6068	−59.4432	1395.387	506974142.9
	SD	1503.746	49.9885	0.14537	383.249	146280518.5
	Mean	−15499.8	429.7536	−59.7203	523.472	101913643.5
	Min	−18340.6	353.849	−60.0317	96.59476	8061427.882
ECGOA6	Max	−12379	561.8097	−59.4954	1562.137	622102603.5
	SD	1635.44	75.40271	0.115495	390.2075	201123569.1
	Mean	−15574.9	431.8302	−59.6764	381.6959	152537664.3
	Min	−18784	278.6123	−59.9099	72.10621	5058058.625
ECGOA7	Max	−13522.3	611.5379	−59.5858	924.5556	1019814442
	SD	1291.999	81.91863	0.083408	253.7802	296529381.7
	Mean	−16657.1	442.2678	−59.7265	360.7756	207773478.8
	Min	−19647.9	283.6656	−59.8738	112.8999	6189273.462
ECGOA8	Max	−12906.6	522.0567	−59.4512	1035.483	469635197.1
	SD	1467.799	53.46532	0.15148	291.7955	156859406.9
	Mean	−15172.3	422.7514	−59.6563	401.8186	111764679.8
	Min	−18254.9	290.0732	−60.062	96.79589	5845757.794
ECGOA9	Max	−13639.7	543.6966	−59.3504	1138.901	434575957.9
	SD	1417.122	80.27476	0.119305	367.9628	173595240.7
	Mean	−15904.4	426.5996	−59.6111	457.5753	130924283.2
	Min	−18462.9	262.1963	−59.8748	94.65694	6641433.378
ECGOA10	Max	−13343.5	580.2786	−59.3751	940.1151	601504311
	SD	1218.772	56.89642	0.144239	286.1847	172390624.5
	Mean	−15770	460.4834	−59.7354	336.8918	119948547.1
	Min	−18108	365.7742	−60.151	96.49957	11133246.78
GOA [16]	Max	−13843.7	556.5219	−59.4587	1254.326	524047875.8
	SD	1266.274	61.51136	0.142779	341.6776	125063391.3
	Mean	−16059.7	446.7562	−59.6615	528.9932	60674853.38
	Min	−18377.6	283.9794	−60.076	113.8766	8321958.122