An Improved Grasshopper Optimizer for Global Tasks

Table 7

Statistical comparison results of different dimensions by Wilcoxon test.

	DE	GWO	DA	WOA	SCA	BA	MFO	PSO	HHO	GOA
F1	1.9861E − 01	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F2	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	3.5009E − 02	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F3	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F4	4.9498E − 02	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.0639E − 01	2.3534E − 06	7.5213E − 02	1.7344E − 06	3.7243E − 05
F5	1.7344E − 06	1.1748E − 02	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.9209E − 06
F6	1.7344E − 06	9.3157E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F7	1.7344E − 06	3.5152E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F8	1.7344E − 06	1.1079E − 02	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.6033E − 06
F9	5.9994E − 01	8.9187E − 05	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F10	1.7344E − 06	1.6394E − 05	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.3534E − 06	1.7344E − 06	2.1266E − 06	1.7344E − 06
F11	2.1266E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.3704E − 05	1.7344E − 06	6.3391E − 06	6.0350E − 03	1.7344E − 06
F12	1.7988E − 05	2.3534E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	3.4053E − 05	4.2857E − 06	1.7344E − 06	3.1817E − 06	6.3391E − 06
F13	1.7344E − 06	1.1748E − 02	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	5.2872E − 04	1.7344E − 06	1.7344E − 06	7.2710E − 03
F14	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.3534E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.1266E − 06
F15	7.6909E − 06	1.1748E − 02	7.6909E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	9.5899E − 01	1.7344E − 06	6.7328E − 01	2.1336E − 01
F16	1.7344E − 06	1.7423E − 04	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.1266E − 06	1.9209E − 06	5.2165E − 06
F17	7.7122E − 04	1.6394E − 05	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.3534E − 06
F18	1.7344E − 06	3.1817E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	4.2857E − 06	2.1266E − 06	1.7344E − 06	2.3534E − 06	2.3534E − 06
F19	4.5336E − 04	6.3391E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	6.1564E − 04	1.7344E − 06	2.3534E − 06	1.7344E − 06
F20	3.6826E − 02	1.1748E − 02	1.7344E − 06	2.6033E − 06	1.7344E − 06	1.7344E − 06	6.3391E − 06	2.1266E − 06	2.1266E − 06	1.9209E − 06
F21	1.7344E − 06	7.7122E − 04	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.9209E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F22	1.1973E − 03	1.9646E − 03	4.7292E − 06	1.7344E − 06	2.3534E − 06	1.7344E − 06	1.0246E − 05	2.0671E − 02	8.9187E − 05	1.2381E − 05
F23	1.9209E − 06	7.1570E − 04	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.3534E − 06	1.7344E − 06	1.7344E − 06	6.9838E − 06
F24	1.7344E − 06	2.4308E − 02	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	2.3534E − 06	1.7344E − 06	1.7344E − 06	3.1817E − 06
F25	3.1123E − 05	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.0246E − 05	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F26	1.9209E − 06	2.5967E − 05	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.9209E − 06	2.0515E − 04	3.5152E − 06	1.0444E − 02
F27	2.1336E − 01	2.3534E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	8.2206E − 02	1.7344E − 06	4.7292E − 06
F28	7.6909E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	6.4242E − 03	1.7344E − 06	1.3601E − 05	1.7344E − 06	2.6033E − 06
F29	1.7344E − 06	2.8786E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06
F30	3.5152E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	1.7344E − 06	9.4261E − 01	1.7344E − 06	1.7344E − 06	1.7344E − 06
+/−/=	25/2/3	30/0/0	30/0/0	30/0/0	30/0/0	29/0/1	28/0/2	28/0/2	29/0/1	29/0/1