Biogeography-Based Optimization with Orthogonal Crossover

Table 7

Comparison of OX operator.

	OXBBO		OXBBO1		OXBBO versus OXBBO1
	Mean  (Std)	SR	Mean  (Std)	SR	𝑡-test
𝑓1	3.10𝐸−28(1.31𝐸−28)	100%	1.22𝐸−19(3.73𝐸−20)	100%	−3.274
𝑓2	1.28𝐸−19(4.05𝐸−20)	100%	7.50𝐸−14(1.64𝐸−14)	100%	−4.564
𝑓3	3.23𝐸−03(1.92𝐸−03)	0%	1.28𝐸+02(2.44𝐸+01)	0%	−5.251
𝑓4	6.66𝐸−16(1.32𝐸−15)	100%	3.01𝐸−08(9.00𝐸−09)	0%	−3.346
𝑓5	1.89𝐸+01(2.07𝐸−01)	0%	1.81𝐸+01(2.35𝐸−01)	0%	2.831
𝑓6	0.00𝐸+00(0.00𝐸+00)	100%	0.00𝐸+00(0.00𝐸+00)	100%	NaN
𝑓7	1.80𝐸−03(5.54𝐸−04)	100%	4.63𝐸−03(1.59𝐸−03)	100%	−1.677
𝑓8	0.00𝐸+00(0.00𝐸+00)	100%	0.00𝐸+00(0.00𝐸+00)	100%	NaN
𝑓9	0.00𝐸+00(0.00𝐸+00)	100%	3.01𝐸−01(8.26𝐸−01)	12%	−0.364
𝑓10	6.79𝐸−15(1.33𝐸−15)	100%	8.17𝐸−11(1.83𝐸−11)	100%	−4.465
𝑓11	0.00𝐸+00(0.00𝐸+00)	100%	0.00𝐸+00(0.00𝐸+00)	100%	NaN
𝑓12	6.21𝐸−30(3.12𝐸−30)	100%	3.96𝐸−21(1.61𝐸−21)	100%	−2.459
𝑓13	7.28𝐸−29(3.56𝐸−29)	100%	2.92𝐸−20(8.52𝐸−21)	100%	−3.428
𝑓14	3.38𝐸−16(1.13𝐸−16)	100%	3.20𝐸−16(1.29𝐸−16)	100%	0.103
𝑓15	3.27𝐸−04(4.46𝐸−05)	0%	3.35𝐸−04(4.35𝐸−05)	0%	−0.130
𝑓16	1.66𝐸−15(4.85𝐸−15)	100%	8.88𝐸−16(8.01𝐸−16)	100%	0.157
𝑓17	3.81𝐸−12(1.32𝐸−11)	100%	2.83𝐸−14(9.17𝐸−14)	100%	0.287
𝑓18	1.84𝐸−14(8.71𝐸−15)	100%	2.21𝐸−14(9.13𝐸−15)	100%	−0.296
𝑓19	6.93𝐸−16(2.25𝐸−16)	100%	8.35𝐸−16(2.66𝐸−16)	100%	−0.407
𝑓20	4.80𝐸−16(1.23𝐸−16)	100%	7.82𝐸−16(3.46𝐸−16)	100%	−0.823
𝑓21	2.089174(2.753900)	12%	3.990006(3.399740)	12%	−0.434
𝑓22	4.68𝐸−08(9.97𝐸−08)	76%	9.24𝐸−03(4.62𝐸−02)	92%	−0.200
𝑓23	7.92𝐸−05(3.96𝐸−04)	84%	1.94𝐸−07(7.49𝐸−07)	64%	0.200