Solving Parameter Identification of Nonlinear Problems by Artificial Bee Colony Algorithm

Table 4

Parameter sets found for modified B-W model and MSE report.

		PSO [19]		BB-BC [19]		ABC
		Value	Error (%)	Value	Error (%)	Value	Error (%)
𝑥0	m	—	—	—	—	—	—
𝛾	m^−2	160.10	2.38	176.90	7.87	156.91	4.32
𝛽	m^−2	162.72	0.78	198.38	20.96	159.27	2.88
𝐴	—	1296.01	17.05	1107.59	0.04	1207.15	9.03
𝑛	—	2.10	4.95	2.05	2.41	1.92	3.83
𝛼𝑎	kN/m	47.94	3.76	51.44	11.35	46.77	1.25
𝛼𝑏	kN/m/V	41.43	0.55	42.25	2.55	38.71	6.03
𝑐0𝑎	kN·s/m	111.02	0.92	115.53	5.03	109.63	0.33
𝑐0𝑏	kN·s/m/V	115.55	1.10	139.79	22.30	115.55	1.09
𝑐1𝑎	kN·s/m	8488.77	1.55	10313.72	23.38	8561.32	2.42
𝑐1𝑏	kN·s/m/V	7603.31	1.61	8499.79	13.59	7556.57	0.98
𝑘0	kN/m	0.0021	5.12	0.0021	3.59	0.0019	1.43
𝑘1	kN/m	0.0103	5.80	0.0104	6.76	0.0100	3.13
𝜂	s^−1	111.05	11.05	104.11	4.11	100.31	0.31
MSE of response		1.08E − 02		4.92E − 03		5.71E − 04