Quantum-Inspired Evolutionary Algorithm for Continuous Space Optimization Based on Multiple Chains Encoding Method of Quantum Bits

Table 5

Comparison results for GA, PSO, ABC, and FCQIEA.

Fun.	Dim.	𝐺	GA			PSO			ABC			FCQIEA
			Suc. (%d)	Mean	Time (s)	Suc. (%d)	Mean	Time (s)	Suc. (%d)	Mean	Time (s)	Suc. (%d)	Mean	Time (s)
F1	5	100	15	0.5	0.01	24	0.09	0.04	69	0.05	0.05	98	0.001	0.3
		500	80	0.01	0.02	96	0.001	0.12	99	0.003	0.15	100	0	0.4
	30	500	0	40.13	—	0	2.63	—	0	2.25	—	95	0.003	6.22
		1000	0	30.46	—	0	2.58	—	0	2.25	—	100	0	6.25
F2	20	20	96	0.0234	0.35	97	0.030565	0.32	99	0.00087	0.4	100	0	0.26
	30	100	81	1.2342	0.45	98	0.011151	0.52	99	2.87𝐸−09	0.7	100	0	2.16
F3	5	500	10	1.3212	0.04	45	0.93	0.05	100	0	0.6	100	0	0.26
		1000	10	0.7213	0.05	45	0.45	0.06	100	0	0.8	100	0	0.39
	50	500	0	49	—	0	41.73	—	0	46	—	100	0	9.58
		10000	0	40	—	0	31.43	—	0	25	—	100	0	9.82
F4	5	1000	70	0.6	0.4	87	0.02	0.18	87	0.03	0.31	100	0	0.04
		2000	53	0.34	0.5	78	0.011	0.19	91	0.02	0.41	100	0	0.06
	50	10000	0	10.45	—	0	3.21	—	0	3.16	—	100	0	11.80
		20000	0	49.67	—	0	4.83	—	0	4.98	—	100	0	17.46
F5	20	1000	0	24.78	—	0	12.26	—	8	0.01	2.12	100	0	1.95
		2000	0	28.42	—	0	11.14		10	0.01	3.28	100	0	2.48
	40	10000	0	51.21	—	0	45.32	—	0	44.21	—	71	0.02	342
		20000	0	49.38	—	0	42.17	—	0	43.71	—	79	0.02	425