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Table 13 Complexity analyses bases on values of MET, MGen and MFE indices

From: Memetic computing through bio-inspired heuristics integration with sequential quadratic programming for nonlinear systems arising in different physical models

Index

Methods

Problem-1

Problem-2

Problem-3

Problem-4

Problem-5

Problem-6

Mean

STD

Mean

STD

Mean

STD

Mean

STD

Mean

STD

Mean

STD

MET

GA-SQP-1

40.38

8.17

14.78

1.78

29.62

7.20

16.02

10.40

11.95

4.36

15.06

2.88

GA-SQP-2

37.56

9.12

13.93

2.01

28.05

6.62

15.47

10.40

11.57

5.08

13.91

3.41

GA-SQP-3

38.85

6.90

14.64

1.78

30.29

7.34

19.16

10.91

11.90

3.75

14.55

3.28

GA-SQP-4

36.41

8.30

13.39

1.40

28.78

7.20

21.22

11.01

10.82

3.25

14.01

3.34

GA-SQP-5

39.46

7.29

14.51

1.47

29.47

7.96

17.43

11.33

11.95

2.78

14.93

3.41

GA-SQP-6

38.76

8.04

13.69

1.39

29.53

7.82

13.49

9.75

11.42

3.98

14.18

3.35

GA-SQP-7

37.73

8.70

14.15

1.24

29.91

7.40

19.66

11.45

11.65

3.57

14.05

4.05

GA-SQP-8

37.83

6.20

13.65

1.37

29.01

7.55

20.86

10.75

10.81

2.33

13.56

3.91

GA-SQP-9

38.22

8.21

14.40

1.30

29.91

6.22

18.27

10.80

11.71

1.93

14.61

3.68

GA-SQP-10

37.19

7.97

13.58

1.43

27.72

7.11

15.66

10.26

10.72

1.46

14.24

2.90

GA-SQP-11

38.78

7.20

14.24

1.50

30.17

6.69

19.79

10.52

11.53

1.39

13.92

4.20

GA-SQP-12

37.36

8.11

13.41

1.10

27.44

7.77

20.20

10.01

10.52

1.77

13.86

4.10

MGen

GA-SQP-1

700.00

0.00

700.00

0.00

700.00

0.00

524.91

226.38

678.62

87.58

690.43

67.33

GA-SQP-2

688.02

55.52

700.00

0.00

700.00

0.00

545.94

216.72

675.43

91.49

681.12

92.96

GA-SQP-3

700.00

0.00

700.00

0.00

700.00

0.00

569.84

205.48

692.09

46.80

685.70

81.72

GA-SQP-4

689.25

60.24

700.00

0.00

700.00

0.00

600.45

196.65

684.31

77.29

685.67

81.89

GA-SQP-5

700.00

0.00

700.00

0.00

700.00

0.00

531.36

225.23

687.77

61.83

685.60

82.30

GA-SQP-6

698.12

14.82

700.00

0.00

700.00

0.00

520.02

219.69

692.68

46.07

681.01

93.51

GA-SQP-7

692.11

47.15

700.00

0.00

700.00

0.00

573.73

207.36

690.56

57.97

662.04

129.39

GA-SQP-8

696.99

21.62

700.00

0.00

700.00

0.00

601.21

199.05

690.94

53.13

666.38

123.16

GA-SQP-9

691.12

55.98

700.00

0.00

700.00

0.00

572.49

203.69

691.35

51.01

671.41

113.74

GA-SQP-10

689.80

56.05

700.00

0.00

700.00

0.00

562.31

204.86

680.02

81.30

690.43

67.33

GA-SQP-11

693.74

32.13

700.00

0.00

700.00

0.00

584.84

198.30

694.01

44.06

657.35

136.31

GA-SQP-12

693.01

46.41

700.00

0.00

695.42

45.80

616.24

181.66

683.73

74.37

671.48

113.46

MFE

GA-SQP-1

39,020.3

4583.9

19,219.8

735.9

28,524.5

5397.6

524.9

226.4

16,724.1

4258.6

17,196.8

2364.9

GA-SQP-2

38,348.1

6811.0

19,294.1

664.4

27,864.8

5441.3

545.9

216.7

17,137.5

4800.8

16,761.1

2743.6

GA-SQP-3

39,021.7

4804.0

19,289.2

665.3

29,239.5

5831.6

569.8

205.5

16,904.5

3431.6

16,822.9

2647.3

GA-SQP-4

37,477.2

6766.0

19,196.5

661.6

28,629.6

5892.8

600.5

196.7

16,610.1

2962.0

17,050.3

2696.2

GA-SQP-5

39,290.2

5371.4

19,156.5

653.5

28,136.2

6134.7

531.4

225.2

16,757.3

2599.1

16,970.1

2803.3

GA-SQP-6

39,251.0

5897.7

19,160.5

827.9

28,799.1

5729.5

520.0

219.7

17,034.3

3742.2

16,995.2

2846.3

GA-SQP-7

37,769.2

6040.8

19,094.9

730.1

28,841.3

6029.7

573.7

207.4

16,724.7

3446.3

16,334.1

3528.9

GA-SQP-8

38,841.6

4595.0

19,286.5

690.5

28,691.3

5951.9

601.2

199.1

16,677.9

2319.0

16,618.2

3435.4

GA-SQP-9

38,365.0

6084.0

19,193.7

663.1

28,931.8

5356.7

572.5

203.7

16,625.9

1585.1

16,800.0

3224.3

GA-SQP-10

38,162.1

6281.8

19,169.2

808.3

27,466.8

5276.7

562.3

204.9

16,413.2

1426.7

17,200.7

2398.4

GA-SQP-11

39,193.2

5735.7

19,145.4

700.8

29,093.3

5505.6

584.8

198.3

16,541.6

924.1

16,258.2

3736.0

GA-SQP-12

38,164.5

6395.4

19,270.1

751.2

27,210.9

6193.7

616.2

181.7

16,354.8

1774.4

16,844.8

3260.3