Application and Development of Enhanced Chaotic Grasshopper Optimization Algorithms

Table 4

Results and comparison of ECGOAs with GOA (50-D) on unimodal functions.

Algorithm	Statistical parameters	F1	F2	F3	F4	F5
ECGOA1	Max	2.91E + 04	32.18483	111797.5	3033130912	3.24E + 04
	SD	4580.993499	24.20682	20978.46	3033130912	4894.9252
	Mean	2.03E + 04	6.261021	62956.04	3033130912	21270.264
	Min	12525.67662	−31.5255	30301.64	−1.53368951	13898.103
ECGOA2	Max	3.48E + 04	106.5421	103711.7	2154795033	29074.924
	SD	5707.583776	45.64063	18934.69	486469119.6	5100.4422
	Mean	2.26E + 04	14.83906	68327.38	138349178.8	19007.027
	Min	15420.5153	−50	38549.12	−1.24711837	10868.143
ECGOA3	Max	2.85E + 04	69.54283	113569.7	1206254731	31566.385
	SD	4356.900319	31.4644	18027.51	393145232.4	5251.3516
	Mean	2.00E + 04	14.19818	63156.77	189714077.2	23529.016
	Min	14758.56528	−32.9833	40865.46	−4.86134464	15436.59
ECGOA4	Max	3.22E + 04	90	104517.8	2346293923	35774.413
	SD	4196.200051	33.22862	20597.45	669971386.6	5791.7485
	Mean	2.10E + 04	7.25466	59656.25	261272209.6	22008.399
	Min	15427.28384	−50	24785.01	−1.42685917	15822.568
ECGOA5	Max	3.15E + 04	106.4788	109516.7	2513564142	36989.27
	SD	5903.244549	32.80914	23233.04	857624011.7	6199.7488
	Mean	2.13E + 04	8.691083	64561.99	558000246.9	23826.641
	Min	14246.34036	−50	30868.1	−2.94514106	13771.658
ECGOA6	Max	2.87E + 04	70	85934.37	2670344909	36744.052
	SD	5121.771356	27.96234	15565.56	872997453.1	5968.3631
	Mean	2.04E + 04	16.29936	57717.67	397263587.7	24972.077
	Min	10043.07676	−50	25295.89	−1.43401992	16032.898
ECGOA7	Max	3.47E + 04	48.67325	95502.4	2284274161	32038.771
	SD	6057.849926	27.39903	17070.54	829809398.2	4873.0274
	Mean	2.29E + 04	4.364473	60573.92	417129473.9	21394.938
	Min	9880.378913	−50	30157.06	−2.83394271	11814.998
ECGOA8	Max	3.15E + 04	47.85565	137403.3	2664314422	37842.546
	SD	5462.667635	22.65879	26818.08	895484803.7	6337.3582
	Mean	2.16E + 04	2.030997	67721.54	410479727.9	23106.754
	Min	8900.984581	−31.5151	32203.72	−1.36190421	14299.857
ECGOA9	Max	3.45E + 04	106.6678	102734.8	2841946390	30316.017
	SD	5138.922636	38.41419	21197.83	765285734.9	4717.0682
	Mean	21536.60375	7.865827	56321.14	356879478.5	23646.126
	Min	11155.93754	−50	26036.76	−1.46623175	13613.975
ECGOA10	Max	3.03E + 04	50	122011.5	2270930776	33079.78
	SD	5296.153654	24.70026	18910.63	618827002.9	4896.2693
	Mean	21341.72611	9.529229	69260.53	288246084.2	22333.503
	Min	14745.05282	−30	36566.91	−1.44162177	13425.011
GOA [16]	Max	3.55E + 04	86.94913	84051.88	3011759319	29750.024
	SD	5820.921429	37.35558	14837.63	925046677.7	4977.283
	Mean	22165.10941	10.92968	56877.2	525116848.9	21473.229
	Min	13433.88239	−46.8306	37391.19	−1.44722832	9884.174