Table 2.

Minimization results for BPSO, BQPSO, and SOGA.

Function	Algorithm	The best	Mean	SD	The worst	Median
F 1	BPSO	65.1674	278.1128	160.0441	702.2221	244.4259
	BQPSO	1.4096	3.3647	1.4272	6.5327	3.1107
	SOGA	7.4510e − 05	1.6641e − 04	4.8945e − 04	0.0028	7.4510e − 05
F 2	BPSO	1.5918	3.0268	0.9300	5.3401	2.9463
	BQPSO	0.2155	0.4080	0.1226	0.7025	0.4025
	SOGA	0.0024	0.0026	0.0005	0.0049	0.0024
F 3	BPSO	121.8395	1171.3480	911.2165	3261.0044	860.7055
	BQPSO	8.2112	30.8752	25.8621	120.6034	21.4084
	SOGA	263.9170	1919.6076	1078.9650	3782.1623	2175.0068
F 4	BPSO	56	312.7667	248.9619	1154	250.5
	BQPSO	1	4.8667	2.4174	11	5
	SOGA	0	0.1000	0.4026	2	0
F 5	BPSO	9.0243	16.3089	5.5677	27.5491	14.3406
	BQPSO	0.9430	1.8437	0.5141	3.3296	1.8342
	SOGA	0.0031	0.2228	0.6241	3.1281	0.0275
F 6	BPSO	−77.5179	−74.5146	1.8144	−70.6644	−74.5941
	BQPSO	−72.7114	−69.3385	1.7327	−66.4601	−68.9703
	SOGA	−77.7357	−76.2789	0.6355	−75.1676	−76.2048
F 7	BPSO	−3136.9403	−2724.3377	194.8185	−2263.5189	−2752.3562
	BQPSO	−1810.3356	−1498.0555	157.2211	−1272.7048	−1454.7974
	SOGA	−3248.4725	−2913.3245	218.1944	−2467.9053	−2952.6730
F 8	BPSO	4.5456	7.6315	2.0230	15.5215	7.8838
	BQPSO	0.9446	1.9230	0.3842	2.5818	1.9273
	SOGA	0.0040	1.3614	1.1703	3.1276	1.8407
F 9	BPSO	2.6925	12.6817	7.3535	31.3502	10.9785
	BQPSO	0.7294	1.7635	0.5748	2.9455	1.7687
	SOGA	0.0742	1.4639	1.4386	5.2594	0.9397
F 10	BPSO	1.5798	3.6606	1.5582	7.7680	3.4519
	BQPSO	0.3552	0.8360	0.2063	1.1561	0.8923
	SOGA	0.0546	0.3702	0.1933	0.6738	0.4183