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

Table 8

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

	𝑟
	0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
F01	1.84	1.99	1.86	1.94	1.59	1.00	1.42	1.34	1.09	1.16	1.71
F02	3.31	5.38	4.57	3.08	3.82	1.14	1.00	2.89	2.79	4.02	3.11
F03	3.73	5.46	5.33	2.29	3.36	2.41	1.00	1.72	1.21	1.61	1.36
F04	11.42	1.11	24.29	1.49E4	1.13E3	3.94E3	2.78E4	19.66	175.22	1.14	1.00
F05	16.09	128.62	32.69	24.46	64.40	12.77	29.59	76.17	4.56	1.00	4.46
F06	62.44	26.96	48.58	15.60	26.34	7.80	1.82	1.00	35.20	2.39	1.55
F07	3.30	1.78	1.34	1.03	1.23	1.39	1.55	1.00	1.19	1.36	3.49
F08	4.88	3.93	3.94	1.94	2.19	3.83	3.53	4.33	1.00	2.27	3.14
F09	1.39	1.66	1.14	1.00	1.21	1.15	1.15	1.09	1.08	1.04	1.09
F10	7.21	9.94	8.75	3.60	8.46	6.11	4.83	4.14	5.76	1.00	2.71
F11	3.82	4.23	3.73	2.05	1.81	1.00	1.71	2.20	1.42	1.68	1.89
F12	1.64	2.17	2.04	1.47	1.80	1.86	1.00	1.21	1.13	1.34	1.56
F13	6.39	6.37	6.01	2.96	3.02	1.90	1.52	1.39	1.00	2.57	2.49
F14	5.74	15.43	7.42	6.82	6.44	3.17	1.00	4.85	2.21	1.74	2.09
	0	0	0	1	0	2	4	2	2	2	1