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

Table 4

Experimental results for functions with 100 dimensions.

Algorithm		Best	Mean	St.D.	Best	Mean	St.D.
		parabolic			Schwefel’s P2.22
SPSO-BK	Star	−450	−449.9999	2.97E-10	−329.9999	−329.9999	1.90E-07
	Ring	−449.9999	−449.9999	2.72E-11	−329.9999	−329.9999	7.34E-11
SPSO-C	Star	−449.9999	−449.9947	0.0369	−329.9999	−329.8556	0.4552
	Ring	−449.9999	−449.9999	1.40E-11	−329.9999	−329.9999	3.09E-11
CPSO	Star	−449.9999	−449.9999	2.13E-09	−329.9999	−329.5999	1.9595
	Ring	−149.6541	1344.4583	532.677	−325.8224	−309.5554	7.5546
PSOFP		−449.9999	−449.9999	1.36E-07	−329.9999	−329.9999	1.36E-09
PSODP		−449.9999	−449.9999	3.34E-07	−329.9999	−329.9999	0.0006
		Schwefel’s P1.2			step
SPSO-BK	Star	513.6355	1602.1760	3006.812	208	377.32	137.165
	Ring	2426.1604	5355.3297	1565.104	671	978.24	174.267
SPSO-C	Star	555.4292	2998.8775	3037.685	1208	2683.48	755.401
	Ring	1188.1057	2075.1955	769.974	1585	2448.46	531.394
CPSO	Star	5145.9671	10822.5242	3423.207	180	181.7	1.3
	Ring	20782.011	27917.191	3168.315	1791	2506.12	287.989
PSOFP		1399.1752	3987.6253	5750.961	182	199.76	28.642
PSODP		989.7956	2861.3122	5655.407	185	215.36	115.588
		quartic noise			Rosenbrock
SPSO-BK	Star	120.0138	120.0278	0.0110	−397.0471	−329.9329	41.398
	Ring	120.1851	120.3265	0.1013	−373.0928	−346.4626	25.371
SPSO-C	Star	120.5708	121.3554	0.4501	−397.2747	−304.3235	40.5292
	Ring	120.4383	120.9911	0.3064	−371.9901	−339.0829	28.481
CPSO	Star	120.0379	120.0658	0.014	−363.4721	−294.8193	50.003
	Ring	120.1338	120.2321	0.043	606.9444	3907.8062	1468.905
PSOFP		120.0224	120.0438	0.014	−380.2421	−290.0060	47.549
PSODP		120.0219	120.0518	0.036	−368.7163	−299.5108	43.518