Table 4 Comparative statistical results on CEC-2022 test suite (Dimension = 10).

From: Hybrid adaptive ant lion optimization with traditional controllers for driving and controlling switched reluctance motors to enhance performance

Function

Metric

HAALO

PSO

PPSO

GA

ALO

RIME

GEO

MSACO

DBO

FPA

SHO

LUS

F22-01

Minimum

604.88

734.92

676.92

744.46

718.72

663.18

696.42

695.3

690.96

714.75

716.92

650.79

Mean

618.81

753.19

706.19

760.22

745.52

684.98

711.17

724.93

704.36

726.47

731.08

673.18

Std Dev

9.18

10.66

11.19

8.96

6.43

7.98

7.15

6.04

8.4

9.76

6.89

7.74

Rank

1.0

11.0

4.0

12.0

10.0

3.0

7.0

6.0

5.0

8.0

9.0

2.0

F22-02

Minimum

645.48

650.53

746.85

744.78

717.87

745.62

727.57

739.22

728.3

729.55

711.02

691.74

Mean

668.79

665.4

772.78

754.97

731.34

757.09

742.55

762.03

739.08

750.3

722.44

710.05

Std Dev

11.24

13.68

5.27

14.94

14.1

5.89

14.86

12.66

13.33

9.09

10.43

6.76

Rank

1.0

2.0

12.0

10.0

5.0

11.0

6.0

9.0

7.0

8.0

4.0

3.0

F22-03

Minimum

635.87

707.4

666.23

709.56

742.86

679.62

671.72

747.08

706.25

671.05

704.64

653.83

Mean

649.02

723.42

685.04

720.92

756.57

705.44

697.18

757.63

722.19

695.99

718.65

676.78

Std Dev

9.3

8.91

9.3

7.66

10.58

13.84

13.82

6.64

6.03

5.75

7.96

11.89

Rank

1.0

9.0

3.0

10.0

11.0

6.0

5.0

12.0

8.0

4.0

7.0

2.0

F22-04

Minimum

609.07

688.84

686.42

691.78

701.92

741.24

699.87

704.05

667.36

727.39

711.78

722.57

Mean

628.85

717.8

715.83

717.44

728.87

763.53

721.11

726.86

680.85

744.58

739.34

735.2

Std Dev

6.07

7.31

7.2

13.38

7.16

8.9

11.0

7.48

13.65

11.53

9.5

8.78

Rank

1.0

4.0

3.0

5.0

7.0

12.0

6.0

8.0

2.0

11.0

9.0

10.0

F22-05

Minimum

642.35

704.88

692.24

689.49

740.97

672.92

654.64

735.47

722.24

656.56

732.43

704.97

Mean

657.64

726.86

718.78

713.41

768.79

698.14

671.69

753.21

737.46

686.43

751.71

715.16

Std Dev

10.12

12.98

11.51

7.79

8.97

9.67

14.48

14.33

11.8

7.44

7.12

7.88

Rank

1.0

7.0

6.0

5.0

12.0

4.0

2.0

11.0

9.0

3.0

10.0

8.0

F22-06

Minimum

628.52

676.2

748.91

745.71

661.83

686.99

742.57

709.83

691.66

714.07

730.58

656.64

Mean

647.37

703.45

768.1

761.91

678.95

709.86

755.07

720.67

719.07

732.0

748.95

678.6

Std Dev

8.28

12.18

5.0

10.72

14.6

13.34

10.71

6.89

12.59

11.08

7.56

5.96

Rank

1.0

4.0

12.0

11.0

3.0

5.0

10.0

7.0

6.0

8.0

9.0

2.0

F22-07

Minimum

601.81

665.43

747.95

658.23

746.79

673.53

732.43

701.01

672.44

687.32

726.65

671.75

Mean

628.03

679.31

764.72

683.9

761.39

685.02

745.7

726.14

698.08

700.42

739.42

682.33

Std Dev

10.34

12.41

6.82

6.02

9.52

8.41

9.72

12.83

14.34

14.58

14.46

11.43

Rank

1.0

3.0

12.0

2.0

11.0

6.0

10.0

8.0

5.0

7.0

9.0

4.0

F22-08

Minimum

602.73

667.89

713.55

742.83

719.62

735.54

724.49

736.75

712.66

731.57

749.71

720.53

Mean

614.2

691.11

734.75

753.05

747.16

759.04

751.27

755.44

740.88

756.09

779.03

741.55

Std Dev

6.22

11.37

12.73

14.44

5.94

8.09

11.27

7.75

10.0

12.72

7.39

13.68

Rank

1.0

2.0

4.0

11.0

5.0

9.0

7.0

10.0

3.0

8.0

12.0

6.0

F22-09

Minimum

631.25

683.73

681.41

731.92

696.4

705.25

660.72

717.33

697.38

651.27

665.31

720.57

Mean

643.71

701.92

698.25

758.63

719.78

715.63

685.64

747.29

724.41

672.13

675.56

738.93

Std Dev

9.6

9.55

5.59

9.84

9.61

13.35

12.54

9.94

6.79

6.54

7.31

13.6

Rank

1.0

6.0

5.0

12.0

7.0

9.0

3.0

10.0

8.0

2.0

4.0

11.0

F22-10

Minimum

627.92

740.11

737.08

662.52

735.79

710.34

705.96

736.27

663.82

721.1

727.21

720.97

Mean

648.24

762.99

753.94

691.76

761.54

732.6

734.82

747.81

675.39

745.93

753.15

734.92

Std Dev

8.82

8.39

6.78

14.75

8.86

11.28

10.15

5.88

13.77

8.3

5.09

14.63

Rank

1.0

12.0

11.0

2.0

9.0

5.0

4.0

10.0

3.0

7.0

8.0

6.0

F22-11

Minimum

619.43

732.17

674.5

718.27

737.34

677.4

743.82

746.33

652.9

707.75

709.67

715.57

Mean

638.25

760.79

691.49

736.68

765.42

693.03

759.69

763.94

677.13

732.77

722.36

732.2

Std Dev

11.92

9.73

5.17

7.05

9.38

11.3

14.34

12.74

10.69

6.22

6.97

8.23

Rank

1.0

9.0

3.0

8.0

10.0

4.0

11.0

12.0

2.0

5.0

6.0

7.0

F22-12

Minimum

634.69

665.83

718.33

717.03

712.47

721.98

673.03

656.69

658.29

710.04

678.06

727.55

Mean

658.65

695.26

730.49

746.09

722.6

732.14

698.32

669.43

688.14

736.96

691.46

743.66

Std Dev

11.18

6.03

8.62

10.08

14.36

5.24

8.2

8.97

14.77

10.58

8.31

14.58

Rank

1.0

4.0

10.0

9.0

8.0

11.0

5.0

2.0

3.0

7.0

6.0

12.0

Friedman rank

 

12.0

73.0

85.0

97.0

98.0

85.0

76.0

105.0

61.0

78.0

93.0

73.0

Mean rank

 

1.0

6.08

7.08

8.08

8.17

7.08

6.33

8.75

5.08

6.5

7.75

6.08

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