An Improved Beetle Antennae Search Algorithm Based on Inertia Weight and Attenuation Factor

Table 5

The comparison of one hundred dimensional function optimization results.

The name of function	Index	BAS	WABAS	PSO	NBAS	RBAS	VBAS
Ackley function		2.68E + 00	2.02E-03	1.19E-04	5.78E-16	8.01E-16	2.53E-13
	Mean	2.10E + 01	2.15E-03	1.45E + 01	4.14E-15	8.22E-16	1.07E-11
	Std	1.00E-01	8.33E-05	1.69E + 00	3.10E-15	7.53E-14	4.82E-13
Griewank function		3.05E + 03	5.81E-07	4.51E + 01	0	0	0
	Mean	2.99E + 03	6.29E-07	1.72E + 02	0	0	0
	Std	3.03E + 02	1.19E-07	2.66E + 02	0	0	0
Rastrigin function		9.18E + 06	4.50E-03	5.43E + 02	0	0	0
	Mean	1.21E + 07	5.64E-03	8.03E +  02	0	0	0
	Std	1.17E + 06	4.69E-04	2.40E + 02	0	0	0
Rotated hyperellipsoid function		4.28E + 06	1.03E-03	1.13E + 05	4.15E-28	3.40E-43	1.02E-19
	Mean	7.08E + 06	1.40E-03	4.18E + 05	3.64E-27	1.85E-33	1.42E-19
	Std	6.97E + 05	1.33E-04	6.29E + 05	3.59E-28	2.58E-32	1.40E-20
Sphere function		8.78E + 02	2.76E-05	2.36E + 01	5.71E-33	1.40E-53	3.79E-25
	Mean	8.20E + 02	2.85E-05	1.00E + 02	4.35E-31	1.97E-38	1.71E-23
	Std	7.44E + 01	2.20E-06	1.13E + 02	3.90E-32	2.29E-37	1.51E-24
Sum squares function		3.44E + 05	1.13E-03	6.14E + 03	1.56E-28	6.85E-72	9.05E-21
	Mean	3.46E + 05	1.44E-03	1.50E + 04	2.35E-28	7.83E-36	9.62E-21
	Std	8.47E + 02	1.27E-04	1.74E + 04	1.48E-29	1.02E-34	1.65E-22
Zakharov function		2.46E-05	2.04E-10	3.65E-12	746E-34	1.68E-81	3.37E-26
	Mean	1.32E + 03	8.74E-08	1.68E-02	4.03E-32	7.90E-40	1.68E-24
	Std	3.26E + 02	7.87E-08	1.15E-01	3.93E-32	1.01E-38	1.61E-24
Bohachevsky function		6.04E + 01	2.24E-08	8.49E-09	0	0	0
	Mean	9.03E + 03	1.23E-06	1.28E + 00	0	0	0
	Std	5.89E + 03	1.12E-06	1.17E + 01	0	0	0
Schaffer function		7.01E-03	2.98E-13	1.11E-12	0	0	0
	Mean	4.64E-01	5.16E-11	2.99E-03	0	0	0
	Std	7.65E-02	5.10E-11	2.21E-02	0	0	0
Sum of different powers function		4.14E-01	3.01E-12	1.92E-04	1.23E-39	5.48E-78	4.02E-30
	Mean	3.20E + 00	2.83E-09	9.36E-02	1.10E-34	2.99E-34	6.14E-27
	Std	1.41E + 00	3.83E-09	1.79E-01	1.37E-34	4.23E-33	5.98E-27