Nonlinear Inertia Weighted Teaching-Learning-Based Optimization for Solving Global Optimization Problem

Table 3

Convergence comparisons in terms of number of fitness evaluations. Population size: 40; : 30 (except ~: ); max. eval.: 80,000FEs.

Number	Function		PSO	ABC	DE	TLBO	NIWTLBO
	Sphere	Mean	80,000	80,000	80,000	80,000	29,514
		Std.	0	0	0	0	1.02E + 02
	SumSquares	Mean	80,000	80,000	80,000	80,000	29,628
		Std.	0	0	0	0	1.23E + 02
	Tablet	Mean	80,000	80,000	80,000	80,000	29,562
		Std.	0	0	0	0	1.52E + 02
	Quartic	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Schwefel 1.2	Mean	80,000	80,000	80,000	80,000	39,416
		Std.	0	0	0	0	1.09E + 02
	Schwefel 2.22	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Schwefel 2.21	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Zakharov	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Rosenbrock	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Schaffer	Mean	12,432	43,636	8,686	9,688	3,029
		Std.	3.38E + 02	3.03E + 02	2.06E + 02	2.29E + 02	3.03E + 02
	Dropwave	Mean	11,394	13,824	5,490	3,021	812
		Std.	3.26E + 01	1.09E + 02	1.53E + 02	1.22E + 02	3.32E + 01
	Bohachevsky1	Mean	9,532	3,263	3,992	2,266	842
		Std.	2.21E + 02	7.52E + 01	8.74E + 01	3.23E + 01	2.01E + 01
	Bohachevsky2	Mean	9,578	4,717	4,245	2,568	952
		Std.	1.33E + 02	9.27E + 01	1.17E + 02	2.05E + 01	2.56E + 01
	Bohachevsky3	Mean	9,792	80,000	5,376	2,875	965
		Std.	2.52E + 02	0	1.26E + 02	1.03E + 02	3.12E + 01
	Six-Hump	Mean	1,997	1,372	1,781	712	2,560
	Camel Back	Std.	1.38E + 02	1.17E + 02	1.36E + 02	5.93E + 01	9.07E + 01
	Branin	Mean	1,851	1,813	1,891	1,086	2,172
		Std.	1.17E + 02	1.23E + 02	1.04E + 02	1.06E + 02	1.23E + 02
	Goldstein-Price	Mean	2,018	1,857	1,765	1,228	2,865
		Std.	1.25E + 02	1.48E + 02	2.08E + 02	6.85E + 01	1.42E + 02
	Ackley	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Rastrigin	Mean	80,000	80,000	80,000	80,000	1,436
		Std.	0	0	0	0	3.02E + 01
	Griewank	Mean	80,000	80,000	53,032	12,064	1,284
		Std.	0	0	6.16E + 02	9.37E + 01	2.54E + 01
	Schwefel 2.26	Mean	80,000	80,000	80,000	80,000	80,000
		Std.	0	0	0	0	0
	Multimod	Mean	80,000	80,000	80,000	28,304	1,427
		Std.	0	0	0	1.05E + 02	5.16E + 01
	Noncontinuous Rastrigin	Mean	80,000	80,000	80,000	80,000	1,324
		Std.	0	0	0	0	1.22E + 02
	Weierstrass	Mean	80,000	80,000	80,000	12,712	2,044
		Std.	0	0	0	1.19E + 02	1.21E + 02