A Novel Hybrid Bat Algorithm with Harmony Search for Global Numerical Optimization

Table 6

Mean normalized optimization results in fourteen benchmark functions with different A. The numbers shown are the minimum objective function values found by HS/BA algorithm, averaged over 100 Monte Carlo simulations.

	𝐴
	0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
F01	1.01	1.01	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00
F02	1.52	1.00	1.46	1.17	1.08	1.37	1.88	1.65	1.67	1.79	1.48
F03	6.69	10.41	1.06	1.01	1.03	1.03	1.01	1.02	1.05	1.00	1.00
F04	201.31	1.26	4.10	4.21	3.33	2.72	1.00	5.19	2.91	1.00	3.11
F05	591.22	16.82	4.25	5.87	1.01	4.14	24.04	1.00	3.68	7.33	9.00
F06	1.00	4.90E4	637.99	258.71	4.95E4	2.18	2.17	2.17	2.18	2.17	2.17
F07	8.57	2.21E6	6.43	272.34	110.48	2.11E4	1.02	1.01	1.00	1.00	1.00
F08	49.80	1.14E4	1.72E4	161.60	224.59	91.19	1.74E4	1.03	1.11	1.00	1.00
F09	82.37	1.73E6	1.06	3.14	74.45	103.10	42.26	7.94E3	1.00	1.37	1.29
F10	90.31	1.45E3	2.45E5	2.32E3	23.34	22.34	31.38	12.89	2.34E3	1.40	1.00
F11	4.98	1.00	3.15E4	2.33	14.41	520.23	443.65	616.26	249.91	4.78E4	2.14
F12	3.69	2.10E4	4.57E4	1.00	2.12E4	266.35	233.13	198.80	276.14	112.01	2.14E4
F13	1.90	8.25	4.48E6	2.14E6	1.00	6.15	254.51	222.75	189.96	263.86	107.01
F14	66.91	1.95E5	1.17E4	1.24E3	21.04	1.86E3	29.40	23.92	1.00	18.35	24.75
	1	2	1	2	2	1	2	2	4	5	5