The Scientific World Journal

Research Article

A Particle Swarm Optimization Variant with an Inner Variable Learning Strategy

Table 2

Optimization results obtained for the test functions; the best results are shown in boldface.


Functions Algorithm	Mean	StdDev	Suc	FEs	Mean	StdDev	Suc	FEs	Mean	StdDev	Suc	FEs
Functions Algorithm	Sphere				Rastrigin				Rosenbrock

PSO-w			30	193,017			0				0
PSO-cf	0.00E + 00	0.00E + 00	30	20,333			0				0
PSO-cf-local			30	40,295			0				0
FIPS-PSO			30	146,179			0				0
CPSO-H			30	149,044			29				0
CLPSO			30	122,161			30	195,815			0
SLPSO			30	43,980			30	196,749			8
PSO-IVL			30	81,950	0.00E + 00	0.00E + 00	30	99,430	0.00E + 00	0.00E + 00	30	136,250

Algorithms	Griewank				Schwefel 1.2				Ackley

PSO-w			2				0				30	211,209
PSO-cf			8				30	151,095			15
PSO-cf-local			17				1				30	56,976
FIPS-PSO			30	183,581			0				30
CPSO-H			4								1
CLPSO			30	151,708			0				30	166,425
SLPSO			26				30	149,872	0.00E + 00	0.00E + 00	30	51,585
PSO-IVL	0.00E + 00	0.00E + 00	30	81,960	0.00E + 00	0.00E + 00	30	92,600			30	83,330

Algorithms	Scaled Rosenbrock 100				Scaled Rastrigin 10				Noise Schwefel 1.2

PSO-w			0				0				0
PSO-cf			0				0				0
PSO-cf-local			0				0				0
FIPS-PSO			0				0				0
CPSO-H			0				0				0
CLPSO			0				30	226,863			0
SLPSO			0				30	234,253			0
PSO-IVL	2.32E + 01	2.54E − 03	0		0.00E + 00	0.00E + 00	30	83,660	0.00E + 00	0.00E + 00	30	97,530

Algorithms	Rotated Sphere				Rotated Schwefel 2.21				Rotated Ellipse

PSO-w			30	201,639			0				0
PSO-cf	0.00E + 00	0.00E + 00	30	24,010			17				0
PSO-cf-local			30	47,289			14				0
FIPS-PSO			30				0				0
CPSO-H			30				0				0
CLPSO			30	190,125			0				0
SLPSO			30	49,396			30	81,481			30	146,787
PSO-IVL			30	84,750	0.00E + 00	0.00E + 00	30	129,880	0.00E + 00	0.00E + 00	30	97800

Algorithms	Rotated Rosenbrock				Rotated Ackley				Rotated Griewank

PSO-w			0				1				0
PSO-cf			0				4				8
PSO-cf-local			0				24				9
FIPS-PSO			0				30	213,274			8
CPSO-H			0				0				0
CLPSO			0				0				0
SLPSO			0		0.00E + 00	0.00E + 00	30	52,575			17
PSO-IVL	2.38E + 01	2.80E − 03	0				30	95,230	0.00E + 00	0.00E + 00	30	84910

Algorithms	Rotated Rastrigin				Noise Rotated Schwefe1.2				Noise Quadric

PSO-w			0				0				0
PSO-cf			0				0				0
PSO-cf-local			0				0				0
FIPS-PSO			0				0				0
CPSO-H			0				0				0
CLPSO			0				0				0
SLPSO			0				7				0
PSO-IVL	0.00E + 00	0.00E + 00	30	116,660	0.00E + 00	0.00E + 00	30	102,080	7.55E − 05	7.51E − 08	0