Application and Development of Enhanced Chaotic Grasshopper Optimization Algorithms

Table 5

Results and comparison of ECGOAs with GOA (30-D) for multimodal functions.

Algorithm	Statistical parameters	F6	F7	F8	F9	F10
ECGOA1	Max	−8904.24	271.0372	−66.5449	−29.2767	3279130
	SD	1254.676	51.23868	4.119399	13.23356	884472.8
	Mean	−11029.5	146.0832	−78.6616	−51.4071	1238399
	Min	−13826.5	66.54498	−80	−69.8688	−66.7927
ECGOA2	Max	−8832.74	229.4997	−66.7126	−28.9994	3958975
	SD	1142.206	52.12368	2.975594	11.40269	1072203
	Mean	−10745.6	145.3066	−79.171	−47.2001	1923464
	Min	−13627.7	15.85951	−80	−69.4254	−68.3447
ECGOA3	Max	−8376	222.1649	−64.3491	−39.1735	2999948
	SD	1527.962	47.29322	3.493484	10.75939	1038006
	Mean	−11293.5	164.0275	−78.9705	−60.5568	1442602
	Min	−14534.5	56.96255	−80	−78.9487	−66.9631
ECGOA4	Max	−8307.93	256.214	−78.3538	−19.0129	3999958
	SD	1109.739	57.38026	0.506681	12.7704	1292593
	Mean	−11006.9	141.5465	−79.6353	−51.0195	1278308
	Min	−12818.6	53.7245	−80	−69.8415	−72.994
ECGOA5	Max	−8540.51	243.5495	−60.3452	−28.1305	4922217
	SD	1220.617	48.63998	5.114423	13.8308	1398789
	Mean	−11059.9	146.0103	−78.1109	−47.6149	1688204
	Min	−13079.1	54.99126	−80	−69.8507	−75.9006
ECGOA6	Max	−8426.57	249.5214	−60.0117	−39.1139	2999975
	SD	1345.302	44.48447	5.512268	11.35779	913600.2
	Mean	−10663.5	147.7425	−78.1364	−54.092	758313.7
	Min	−13323.2	72.3563	−80	−78.4344	−72.602
ECGOA7	Max	−7639.37	244.7659	−60.0035	−9.16557	3742472
	SD	1637.129	40.17972	4.45385	15.04767	1044970
	Mean	−10769.7	144.7726	−78.7532	−51.0586	1140919
	Min	−15549.9	79.90368	−80	−69.5569	−73.8642
ECGOA8	Max	−8815.14	238.5191	−78.3538	−29.0018	3999953
	SD	972.5037	39.69233	0.675579	11.76663	1258635
	Mean	−11237	163.4965	−79.6707	−50.8158	1575727
	Min	−12712	90.96168	−80	−69.9456	−68.8842
ECGOA9	Max	−7711.69	250.473	−78.3538	−19.8782	2999949
	SD	1198.213	40.70405	0.675578	12.726	778483.5
	Mean	−10681.1	167.9705	−79.6707	−41.31	1095574
	Min	−12474.2	96.95393	−80	−69.4142	−64.8591
ECGOA10	Max	−8746.85	269.3226	−60.1722	−19.3277	5249683
	SD	1190.82	41.32749	4.41648	12.70165	1582795
	Mean	−10661.7	161.4352	−78.7616	−43.6748	1394908
	Min	−13545.7	84.36102	−80	−69.0206	−61.9252
GOA [16]	Max	−9225.8	258.3774	−60.0393	−20.1744	3000918
	SD	1292.871	50.35495	8.248127	12.85493	975411.2
	Mean	−11237.6	161.2432	−75.4165	−57.6119	1122615
	Min	−14022.9	76.48267	−80	−69.8943	−69.4996