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

Table 3

Experimental results for functions with 50 dimensions.

Algorithm		Best	Mean	St.D.	Best	Mean	St.D.
		Schwefel			Rastrigin
SPSO-BK	Star	6603.8424	9786.6971	1359.137	497.7579	523.1492	13.619
	Ring	16100.4628	17437.3017	673.960	497.7580	530.6957	14.832
SPSO-C	Star	7684.6670	9898.3600	1218.2453	486.8134	520.5225	15.146
	Ring	16299.0367	17523.4040	548.640	499.7950	530.1292	14.646
CPSO	Star	6934.3602	8761.8199	854.741	495.7680	529.6818	22.117
	Ring	15875.0546	17592.1651	661.051	578.8806	631.1157	16.836
PSOFP		6144.7441	8472.2288	1171.500	504.7226	528.2633	13.507
PSODP		5950.1707	8369.7773	1038.811	493.7781	525.2104	20.126
		noncontinuous Rastrigin			Ackley
SPSO-BK	Star	186	224.58	22.039	120	121.773	0.649
	Ring	232.0000	262.7717	14.463	120.0000	120.0213	0.149
SPSO-C	Star	227	269.985	21.175	121.8030	124.3168	1.090
	Ring	239.0000	277.1382	18.542	120.0000	120.3807	0.558
CPSO	Star	211	240.6001	14.448	120	120	7.15E-14
	Ring	279.2935	321.5721	17.248	122.7702	124.2613	0.529
PSOFP		210	237.3073	19.334	120	120.0499	0.248
PSODP		200	241.0076	20.067	120	120.0484	0.237
		Griewank			generalized penalized
SPSO-BK	Star	−450	−449.9769	0.033	−330	−329.7654	0.330
	Ring	−449.9999	−449.9997	0.002	−329.9999	−329.9987	0.008
SPSO-C	Star	−449.9999	−449.8900	0.228	−329.9999	−329.0989	1.123
	Ring	−449.9999	−449.9989	0.004	−329.9999	−329.9912	0.039
CPSO	Star	−450	−449.9902	0.012	−330	−329.9975	0.012
	Ring	−448.2587	−445.2495	1.087	−329.2803	−327.6535	0.783
PSOFP		−450	−449.9874	0.019	−330	−329.9763	0.051
PSODP		−450	−449.9902	0.017	−330	−329.9763	0.055