A teaching learning based optimization based on orthogonal design for solving global optimization problems

Satapathy, Suresh Chandra; Naik, Anima; Parvathi, K

doi:10.1186/2193-1801-2-130

Table 3 Performance comparisons of PSO, DE, TLBO, OTLBO

From: A teaching learning based optimization based on orthogonal design for solving global optimization problems

No.	Function	Global min/max		PSO	DE	TLBO	OTLBO
f ₁	Step	f_min = 0	Mean	203.3667	0	0	0
f ₁	Step	f_min = 0	Std	56.2296	0	0	0
f ₂	Sphere	f_min = 0	Mean	6.1515e-09	7.2140e-14	1.0425e-281	0
f ₂	Sphere	f_min = 0	Std	7.6615e-10	5.8941e-14	0	0
f ₃	SumSquares	f_min = 0	Mean	3.7584e-14	6.1535e-15	1.5997e-281	0
f ₃	SumSquares	f_min = 0	Std	1.0019e-14	3.0555e-15	0	0
f ₄	Quartic	f_min = 0	Mean	1.9275	0.0253	2.3477e-04	1.6911e-05
f ₄	Quartic	f_min = 0	Std	1.4029	0.0075	1.7875e-04	1.2211e-05
f ₅	Zakharov	f_min = 0	Mean	141.0112	66.8339	1.4515e-281	0
f ₅	Zakharov	f_min = 0	Std	40.7567	14.4046	0	0
f ₆	Schwefel 1.2	f_min = 0	Mean	9.3619e-08	5.3494e-13	2.6061e-270	0
f ₆	Schwefel 1.2	f_min = 0	Std	6.6112e-08	4.6007e-13	0	0
f ₇	Schwefel 2.22	f_min = 0	Mean	9.3293	3.9546e-07	3.1583e-137	2.1123e-221
f ₇	Schwefel 2.22	f_min = 0	Std	3.6619	1.9283e-07	1.7188e-137	0
f ₈	Schwefel 2.21	f_min = 0	Mean	60.9603	1.5340	4.3819e-136	4.0091e-215
f ₈	Schwefel 2.21	f_min = 0	Std	4.0761	0.3900	1.5668e-136	0
f ₉	Bohachevsky1	f_min = 0	Mean	0	0	0	0
f ₉	Bohachevsky1	f_min = 0	Std	0	0	0	0
f ₁₀	Bohachevsky2	f_min = 0	Mean	0	0	0	0
f ₁₀	Bohachevsky2	f_min = 0	Std	0	0	0	0
f ₁₁	Bohachevsky3	f_min = 0	Mean	0	0	0	0
f ₁₁	Bohachevsky3	f_min = 0	Std	0	0	0	0
f ₁₂	Booth	f_min = 0	Mean	0	0	0	0
f ₁₂	Booth	f_min = 0	Std	0	0	0	0
f ₁₃	Rastrigin	f_min = 0	Mean	76.2918	5.6344	0	0
f ₁₃	Rastrigin	f_min = 0	Std	17.1005	1.8667	0	0
f ₁₄	Schaffer	f_min = 0	Mean	0.0097	0.0029	0.0066	0
f ₁₄	Schaffer	f_min = 0	Std	0.0025	0.0011	0.0045	0
f ₁₅	Six hump camel back	f_min = − 1.03163	Mean	−1.0316	−1.0316	−1.0316	−1.0316
f ₁₅	Six hump camel back	f_min = − 1.03163	Std	0	0	0	0
f ₁₆	Griewank	f_min = 0	Mean	7.6291e-08	5.7841e-011	0	0
f ₁₆	Griewank	f_min = 0	Std	4.0012e-09	1.6914e-011	0	0
f ₁₇	Ackley	f_min = 0	Mean	14.0614	7.3814e-08	1.7171e-15	1.1123e-15
f ₁₇	Ackley	f_min = 0	Std	2.0125	3.0453e-08	1.5979e-15	1.0021e-15
f ₁₈	Multimod	f_min = 0	Mean	2.1994e-257	2.5678e-255	0	0
f ₁₈	Multimod	f_min = 0	Std	0	0	0	0
f ₁₉	Noncontinuous rastrigin	f_min = 0	Mean	100.3984	13.9237	0	0
f ₁₉	Noncontinuous rastrigin	f_min = 0	Std	28.7062	2.3146	0	0
f ₂₀	Weierstrass	f_min = 0	Mean	12.0447	1.5388e-05	0	0
			Std	2.6160	1.0139e-05	0	0

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