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

Table 7

Best normalized optimization results in fourteen benchmark functions with different 𝑟. The numbers shown are the best results found after 100 Monte Carlo simulations of HS/BA algorithm.

	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	1.84	1.84	4.84	1.59	1.71	1.00	1.34	1.09	1.16	1.01
F02	9.44E3	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00
F03	3.73	5.46	1.86	1.86	1.86	1.86	1.00	1.72	1.21	1.61	1.01
F04	11.42	1.11	24.29	1.23	1.26	1.00	1.29	1.29	1.29	1.29	1.29
F05	1.77E5	2.30	1.15	1.09E4	1.00	1.00	1.00	1.00	1.00	1.00	1.00
F06	62.44	29.96	48.58	15.60	26.34	7.80	1.82	1.00	35.20	2.39	1.55
F07	8.31	4.48	2.58	1.29	1.29	3.49	1.00	1.00	1.00	1.00	1.00
F08	9.61	1.18	4.20	1.37	1.37	1.37	6.95	1.01	1.01	1.00	1.00
F09	373.94	444.22	1.68	3.35	1.68	1.68	1.00	291.98	1.01	1.01	1.01
F10	386.93	3.16	13.97	4.63	1.58	1.58	1.00	1.58	309.31	1.58	1.01
F11	42.55	1.00	18.29	21.35	20.18	11.11	19.04	21.35	15.81	18.76	11.55
F12	114.40	1.00	141.84	44.48	125.47	44.48	44.48	44.48	44.48	44.48	69.43
F13	6.39	6.37	6.01	2.96	3.02	1.00	1.52	1.39	1.00	2.57	2.49
F14	120.52	4.04	2.33	1.00	1.16	3.40	1.00	1.00	1.16	1.16	1.16
	0	3	1	2	2	4	8	5	4	4	4