Particle Swarm Optimization Algorithm with Multiple Phases for Solving Continuous Optimization Problems

Table 5

Experimental results for functions with 100 dimensions.

Algorithm		Best	Mean	St.D.	Best	Mean	St.D.
		Schwefel			Rastrigin
SPSO-BK	Star	16056.678	20638.485	2182.500	569.3949	611.7217	25.514
	Ring	34073.736	37171.637	944.548	560.5540	627.2546	25.699
SPSO-C	Star	16879.295	20909.081	2451.469	552.4806	598.6068	23.697
	Ring	34864.588	37164.686	841.829	569.4197	624.0863	22.440
CPSO	Star	15445.328	19374.588	1691.740	585.3142	639.1086	30.012
	Ring	34235.521	37141.853	835.129	943.5140	1021.6837	37.831
PSOFP		14734.074	18723.674	1738.027	583.3243	648.9117	26.8680
PSODP		14094.634	18899.269	1994.712	574.8307	639.9075	28.179
		noncontinuous Rastrigin			Ackley
SPSO-BK	Star	212.0000	275.1500	30.6297	122.5793	123.5817	0.7107
	Ring	307.2505	358.3455	27.633	120.0000	121.8010	0.4814
SPSO-C	Star	288.0000	374.4500	41.1362	126.3445	128.3848	1.1134
	Ring	332.2500	395.7141	34.1028	120.0000	121.8958	0.5702
CPSO	Star	322.0000	375.1452	31.873	120.0000	120.0000	0.0001
	Ring	580.5314	660.6651	34.490	123.0676	126.4343	0.7101
PSOFP		357	360.7510	38.267	120.0000	121.6460	0.485
PSODP		280	355.1481	29.234	120.0000	121.6061	0.562
		Griewank			generalized penalized
SPSO-BK	Star	−450	−449.8481	0.2569	−330	−329.6599	0.3758
	Ring	−449.9999	−449.9994	0.0022	−329.9999	−329.9880	0.0334
SPSO-C	Star	−449.9999	−449.4670	0.6696	−329.9999	−329.2211	0.8798
	Ring	−449.9999	−449.9995	0.0024	−329.9999	−329.9526	0.0640
CPSO	Star	−449.9999	−449.9933	0.0092	−329.9999	−329.9707	0.0432
	Ring	−437.0433	−428.5081	2.0322	−320.4856	−312.0457	4.2756
PSOFP		−449.9999	−449.9817	0.032	−329.9999	−329.9069	0.151
PSODP		−449.9999	−449.9828	0.031	−329.9999	−329.9224	0.108