An Adaptive Shrinking Grid Search Chaotic Wolf Optimization Algorithm Using Standard Deviation Updating Amount

Table 3

Experimental results.

Function	Order	Best value	Worst value	Average value	Standard deviation	Mean iteration	Average time
F1	1	3.64E − 12	2.83E − 08	3.52E − 10	2.83E − 09	488	0.4038
	2	4.14E − 21	3.26E − 14	1.15E − 15	3.87E − 15	591	0.4282
	3	4.79E − 26	4.95E − 21	2.58E − 22	5.79E − 22	585	2.4095
	4	1.04E − 119	1.69E − 12	5.85E − 24	2.13E − 13	295	0.4266
	5	0	0	0	0	27.44	0.10806
F2	1	−1	−0.00008110	−0.97	0.1714	153	0.0375
	2	−1	−1	−1	3.24E − 06	583	0.4196
	3	−1	−1	−1	0	507	1.9111
	4	−1	−1	−1	0	72	0.0321
	5	−1	0	−0.02	0.0196	592.62	2.7036
F3	1	8.50E − 07	1.61E − 05	2.77E − 06	3.35E − 06	593	1.4396
	2	0.00017021	0.0114	0.0023	0.0022	595	0.4792
	3	7.60E − 07	8.7485	1.4802	1.5621	600	4.8319
	4	5.61E − 07	1.49E − 05	1.07E − 06	8.74E − 06	600	4.1453
	5	0	0	0	0	1	10.2205
F4	1	0.004	0.0331	0.0127	0.0055	592	3.1902
	2	0.0351	0.1736	0.0902	0.0292	594	0.4868
	3	3.5579	10.3152	8.0497	1.2048	600	1.4742
	4	0.00001114	0.0098	0.0012	0.0048	600	0.8431
	5	0	0	0	0	1	10.0834
F5	1	4.67E − 10	4.67E − 10	4.67E − 10	3.12E − 25	73	0.0085
	2	9.20E − 22	6.66E − 15	1.34E − 16	6.78E − 16	594	0.4298
	3	1.23E − 23	1.76E − 19	1.56E − 20	2.60E − 20	585	2.4112
	4	3.75E − 136	1.31E − 19	4.28E − 22	2.24E − 11	195	0.2169
	5	0	0	0	0	1.01	1.06E − 03
F6	1	−1.0316	−1.0316	−1.0316	1.79E − 15	68	0.0077
	2	−1.0316	−1.0316	−1.0316	1.47E − 15	578	0.4597
	3	−1.0316	−1.0316	−1.0316	1.52E − 15	519	2.4727
	4	−1.0316	−1.0316	−1.0316	1.25E − 15	157	0.1823
	5	−1.0316	−1.0316	−1.0316	5.60E − 11	3.32	0.021855
F7	1	4.07E − 08	1.64E − 06	3.17E − 07	5.01E − 07	437	0.327
	2	2.78E − 16	2.60E − 10	8.85E − 12	3.10E − 11	590	0.4551
	3	0	1.67E − 16	7.77E − 18	2.50E − 17	556	1.7745
	4	0	1.69E − 11	6.36E − 15	2.36E − 11	139	0.0793
	5	0	0	0	0	24.06	0.1064
F8	1	3.0054	2.7052	2.9787	0.0629	69	0.0079
	2	3.0054	3.0054	3.0054	4.53E − 16	550	0.3946
	3	3.0054	3.0038	3.0053	0.00016125	399	1.2964
	4	3.0054	3.0054	3.0054	9.41E − 11	67	0.0307
	5	3.0054	3.0054	3.0054	9.66E − 30	600	3.0412
F9	1	4.55E − 11	3.68E − 09	8.91E − 11	3.67E − 10	271	0.1276
	2	2.47E − 20	1.91E − 11	1.97E − 13	1.91E − 12	591	0.4525
	3	6.05E − 24	3.12E − 19	2.70E − 20	5.48E − 20	580	1.9606
	4	0	3.15E − 11	1.46E − 22	5.11E − 12	132	0.0738
	5	0	0	0	0	26.86	0.11364
F10	1	4.36E − 07	0.4699	0.0047	0.047	109	0.0197
	2	0	3.65E − 12	1.12E − 13	4.03E − 13	588	0.4564
	3	0	0	0	0	539	1.6736
	4	0	0	0	0	78	0.025
	5	0	0	0	0	184.88	0.86886
F11	1	1.5851	1.5851	1.5851	3.78E − 07	434	0.5788
	2	1.5934	1.594	1.5935	0.0000826	595	0.4998
	3	1.55E − 06	2.1015	0.7618	0.5833	594	1.789
	4	9.21E − 07	0.00018069	5.20E − 05	4.1549–5	535	1.0822
	5	0	0	0	0	1	0.19021
F12	1	2.0399 × E − 4	0.0277	0.0056	0.0059	597	1.577
	2	0.0151	0.2574	0.0863	0.0552	592	0.5608
	3	0.139	1.6442	0.9017	0.3516	600	2.1169
	4	4.28E − 08	0.0214	0.00038043	0.0013	600	1.9728
	5	0	0	0	0	1	7.4354