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

Table 4

The comparison of fifty-dimensional function optimization results.

The name of function	Index	BAS	WABAS	PSO	NBAS	RBAS	VBAS
Ackley function		2.09E + 01	3.12E-03	8.55E + 00	4.44E-15	8.88E-16	1.06E-11
	Mean	2.08E + 01	3.02E-03	1.16E + 01	3.41E-15	7.68E-16	1.06E-11
	Std	1.36E-01	1.60E-04	2.78E + 00	0	0	6.46E-13
Griewank function		1.08E + 03	7.68E-07	1.95E + 00	0	0	0
	Mean	1.50E + 03	1.05E-06	5.19E + 01	0	0	0
	Std	1.77E + 02	2.14E-07	1.23E + 02	0	0	0
Rastrigin function		5.56E + 02	6.56E-03	2.14E + 02	0	0	0
	Mean	7.43E + 02	5.58E-03	3.62E + 02	0	0	0
	Std	6.45E + 01	5.95E-04	1.35E + 02	0	0	0
Rotated hyperellipsoid function		1.20E + 06	4.42E-04	4.51E + 03	6.15E-28	8.71E-83	4.03E-35
	Mean	1.81E + 06	6.79E-04	5.18E + 04	9.34E-28	2.06E-36	2.87E-24
	Std	2.73E + 05	1.02E-04	1.27E + 05	1.41E-28	3.65E-20	5.51E-21
Sphere function		3.66E + 02	2.65E-05	3.51E + 00	2.04E-31	1.37E-64	9.48E-26
	Mean	3.87E + 02	2.81E-05	3.00E + 01	2.14E-31	1.89E-37	8.44E-24
	Std	4.91E + 01	3.02E-06	5.45E-01	2.68E-32	2.26E-36	1.04E-24
Sum squares function		7.17E + 04	7.82E-04	7.85E + 02	5.62E-29	9.61E-87	2.35E-21
	Mean	7.29E + 04	7.05E-04	2.69E + 03	5.66E-29	1.52E-43	2.38E-21
	Std	4.10E + 02	9.45E-05	4.21E + 03	6.13E-30	9.87E-43	6.68E-23
Zakharov function		3.99E-07	9.42E-10	2.52E-10	7.82E-35	5.82E-81	3.31E-28
	Mean	7.08E + 02	1.62E-07	3.32E-02	3.79E-32	3.57E-42	1.64E-24
	Std	1.88E + 02	1.74E-07	1.72E-01	3.42E-32	4.89E-41	1.46E-24
Bohachevsky function		2.04E + 01	2.31E-09	2.30E-08	0	0	0
	Mean	9.00E + 03	2.19E-06	4.32E-01	0	0	0
	Std	6.73E + 03	1.86E-06	3.58E + 00	0	0	0
Schaffer function		4.29E-03	9.01E-14	3.59E-13	0	0	0
	Mean	4.63E-01	1.08E-10	4.04E-03	0	0	0
	Std	7.50E-02	9.71E-11	2.92E-02	0	0	0
Sum of different powers function		1.34E-01	1.29E-12	4.07E-06	3.18E-41	7.11E-82	3.39E-31
	Mean	2.10E + 00	7.53E-09	5.80E-02	9.84E-35	5.53E-45	6.27E-27
	Std	1.23E + 00	9.41E-09	1.75E + 00	1.29E-34	7.13E-44	5.95E-27