Human Behavior-Based Particle Swarm Optimization

Table 4

Experimental results obtained by SPSO and HPSO on functions from 𝐹₂₁ to 𝐹₂₈.

Fun	Dim		Best	Worst	Median	Mean	SD	Significant
𝐹21	30	SPSO	67.1541	307.3070	213.8939	203.8842	61.8125
		HPSO	0	0	0	0	0	+
	50	SPSO	158.2955	715.0245	518.1705	500.5593	135.5998
		HPSO	0	269.3463	0	8.9782	49.1757	+
	100	SPSO	1.0850𝑒+03	1.9021𝑒+03	1.5793𝑒+03	1.5669𝑒+03	190.5584
		HPSO	0	582.0882	0	35.5882	136.0270	+
𝐹22	30	SPSO	0.7999	14.9999	1.2522	2.9025	4.3553
		HPSO	0	0	0	0	0	+
	50	SPSO	2.0999	26.0999	13.9628	12.8291	6.9033
		HPSO	0	0	0	0	0	+
	100	SPSO	16.5013	41.9999	35.4551	33.9791	6.3075
		HPSO	0	0	0	0	0	+
𝐹23	30	SPSO	81.0577	4.0119𝑒+09	2.0685𝑒+08	6.8745𝑒+08	1.0469𝑒+09
		HPSO	28.8214	28.9856	28.9323	28.9252	0.0421	+
	50	SPSO	3.7253𝑒+03	2.1495𝑒+10	3.6515𝑒+09	3.6515𝑒+09	5.3957𝑒+09
		HPSO	48.7069	48.8900	48.8205	48.8139	0.0479	+
	100	SPSO	6.7997𝑒+09	9.2655𝑒+10	3.3160𝑒+10	3.8223𝑒+10	2.0050𝑒+10
		HPSO	98.6590	98.8846	98.8109	98.7983	0.0545	+
𝐹24	30	SPSO	6.2312𝑒+08	2.3418𝑒+10	4.9110𝑒+09	5.8767𝑒+09	5.6099𝑒+09
		HPSO	5.9432𝑒+05	6.2859𝑒+09	7.6373𝑒+06	3.7982𝑒+08	1.2316𝑒+09	+
	50	SPSO	4.3540𝑒+09	3.3195𝑒+10	1.3961𝑒+10	1.6077𝑒+10	8.3270𝑒+09
		HPSO	3.9454𝑒+06	8.9387𝑒+09	3.1766𝑒+07	7.0962𝑒+08	1.9565𝑒+09	+
	100	SPSO	4.9031𝑒+10	1.5465𝑒+11	9.1986𝑒+10	9.7151𝑒+10	2.8460𝑒+10
		HPSO	2.0551𝑒+08	5.4553𝑒+09	6.7593𝑒+08	1.1373𝑒+09	1.2367𝑒+09	+
𝐹25	30	SPSO	−229.5551	−78.6646	−176.9746	−174.7148	35.8633
		HPSO	−204.3636	−100.1465	−148.1389	−149.7299	27.1636	−
	50	SPSO	−77.4305	156.8323	22.8512	24.6168	62.2086
		HPSO	−102.9219	132.8077	−16.6107	−4.1921	58.2317	+
	100	SPSO	475.3838	860.0386	612.6947	632.8693	100.6069
		HPSO	394.3532	805.2473	581.1779	590.3932	80.6175	+
𝐹26	30	SPSO	−425.5452	−331.1195	−385.1191	−387.6682	22.2647
		HPSO	−439.6877	−399.0205	−423.4928	−422.5533	11.3496	+
	50	SPSO	−399.6029	−326.6739	−379.4869	−370.8387	18.7600
		HPSO	−415.6822	−391.7124	−401.4635	−400.8395	6.5162	+
	100	SPSO	−358.3688	−300.6930	−322.8060	−324.4641	15.5861
		HPSO	−380.3478	−360.8031	−369.0319	−370.4683	5.1369	+
𝐹27	30	SPSO	−119.2212	−118.8710	−119.0179	−119.0258	0.0866
		HPSO	−119.1100	−118.8700	−118.9469	−118.9589	0.0545	−
	50	SPSO	−119.0222	−118.7656	−118.8316	−118.8535	0.0603
		HPSO	−118.9117	−118.7327	−118.7780	−118.7911	0.0421	−
	100	SPSO	−118.7259	−118.6013	−118.6485	−118.6537	0.0310
		HPSO	−118.6872	−118.5986	−118.6231	−118.6289	0.0204	−
𝐹28	30	SPSO	113.2663	126.0977	118.5782	119.4693	3.6330
		HPSO	114.4722	132.2305	124.3094	124.5205	4.3399	−
	50	SPSO	137.8303	153.5400	145.1433	145.1503	4.2018
		HPSO	141.9493	162.4008	153.9547	153.1087	5.4273	−
	100	SPSO	194.1222	232.4306	215.9257	215.9174	8.6772
		HPSO	212.5258	245.0126	229.4886	230.4426	7.4650	−