Simulated Annealing-Based Krill Herd Algorithm for Global Optimization

Table 2

Best normalized optimization results in fourteen benchmark functions.

	ABC	BA	CS	DE	ES	GA	HS	KH	PBIL	PSO	SA	SKH
F01	14.43	23.66	10.43	13.84	23.34	15.83	24.81	3.03	24.37	19.35	8.84	1.00
F02	12.93	78.18	9.36	19.93	64.37	7.42	46.93	15.76	56.66	46.26	1.86	1.00
F03	10.25	88.97	8.48	13.29	47.57	8.71	128.96	2.82	157.15	53.02	1.33	1.00
F04	214.81	2.6𝐸7	137.18	2.9𝐸4	9.1𝐸7	183.20	2.8𝐸8	366.68	6.3𝐸8	3.9𝐸6	223.10	1.00
F05	5.4𝐸6	5.6𝐸8	4.5𝐸4	8.5𝐸6	7.9𝐸8	1.5𝐸5	1.1𝐸9	7.4𝐸5	2.0𝐸9	9.2𝐸7	48.84	1.00
F06	7.5𝐸6	5.3𝐸8	3.3𝐸6	1.1𝐸7	9.1𝐸8	8.8𝐸6	5.0𝐸8	3.7𝐸6	1.1𝐸9	9.7𝐸7	2.2𝐸3	1.00
F07	10.97	29.54	11.22	19.21	31.10	18.09	27.12	8.72	34.18	25.25	9.89	1.00
F08	8.22	37.08	3.50	6.76	75.99	11.20	51.34	3.84	67.57	20.31	1.06	1.00
F09	4.06	7.72	3.13	5.25	6.54	1.00	8.36	4.83	8.72	6.69	2.25	3.22
F10	870.11	1.6𝐸3	166.38	1.1𝐸3	1.1𝐸3	563.34	1.2𝐸3	387.57	994.72	675.38	30.48	1.00
F11	3.01	13.91	3.37	4.21	15.66	6.44	15.39	6.65	15.01	7.46	1.82	1.00
F12	69.59	65.27	22.47	46.15	75.13	48.37	65.04	5.69	65.77	55.79	21.52	1.00
F13	6.3𝐸3	3.9𝐸4	2.6𝐸3	5.1𝐸3	6.9𝐸4	1.4𝐸4	5.5𝐸4	796.88	6.1𝐸4	1.3𝐸4	108.69	1.00
F14	696.00	4.3𝐸3	281.00	444.33	3.4𝐸3	359.67	5.0𝐸3	67.67	5.9𝐸3	2.1𝐸3	10.67	1.00
Total	0	0	0	0	0	1	0	0	0	0	0	13

∗The values are normalized so that the minimum in each row is 1.00. These are the absolute best minima found by each algorithm.