Table 5 The comparison results of the algorithms with D = 10 on the standard deviation (SD).

From: A novel intelligent global harmony search algorithm based on improved search stability strategy

Ā 

HS

IHS

GHS

SGHS

NGHS

IGHS

IMGHS

NIGHS

F1

3.157117E+03

2.238299E+03

2.023615E+06

8.226284E+08

9.618513E+05

2.075218E+08

3.026722E+03

2.815500E+03

F2

3.681245E+01

1.541466Eāˆ’04

1.705384E+05

6.390310E+08

7.046274E+06

4.219783E+07

5.069793Eāˆ’03

1.654800Eāˆ’05

F3

2.402654E+02

0.000000E+00

3.256762E+02

2.429162E+03

1.423853E+04

2.115337E+02

6.119157Eāˆ’04

1.410700Eāˆ’08

F4

1.511192E+01

8.287461Eāˆ’01

3.109844E+01

5.539683E+01

3.714308E+01

3.495260E+01

2.167453E+01

9.880100Eāˆ’03

F5

3.868193E+00

4.556921E+00

4.995662E+00

8.075138E+00

9.671734E+00

9.125628E+00

9.679946E+00

5.512600E+00

F6

5.632713Eāˆ’02

2.336301Eāˆ’05

3.942273Eāˆ’01

5.861767E+00

3.726448Eāˆ’01

2.402125E+00

6.050812Eāˆ’01

1.332700Eāˆ’04

F7

7.307297E+00

5.993279E+00

7.060689E+00

2.652164E+01

9.545209E+00

1.182618E+01

1.068409E+01

7.210700E+00

F8

4.333300E+00

4.281194E+00

4.307906E+00

6.531243E+00

7.631085E+00

6.254299E+00

9.852846E+00

4.723000E+00

F9

8.245834E+00

1.250318E+01

1.196078E+01

1.786334E+02

5.029972E+01

2.953663E+01

8.199820E+01

1.253600Eāˆ’02

F10

1.441302E+02

1.589762E+02

1.745732E+02

1.754113E+02

2.382769E+02

2.236239E+02

2.231638E+02

1.849900E+02

F11

4.896088E+00

3.790836E+00

5.305782E+01

8.207131E+01

2.104694E+03

6.062726E+02

9.259823E+00

4.643800E+00

F12

3.841892E+04

1.698214E+04

1.574112E+05

2.703376E+07

3.172433E+06

1.148226E+06

1.054213E+04

5.069700E+03

F13

1.001119E+04

1.012826E+04

1.145075E+04

1.074968E+05

1.402090E+04

1.256247E+05

1.037862E+04

6.992600E+03

F14

7.006648E+03

5.522954E+03

2.147176E+03

1.221350E+02

7.554092E+03

5.646284E+03

7.759361E+03

6.328100E+02

F15

8.471770E+03

5.883461E+03

1.836074E+03

1.172249E+03

8.506765E+03

5.941242E+03

7.767935E+03

6.915500E+02

F16

9.658785E+01

1.052367E+02

9.207001E+01

7.649027E+01

1.624273E+02

1.167408E+02

1.582717E+02

7.375800E+01

F17

1.372130E+01

1.547942E+01

1.236455E+01

2.700804E+01

7.083862E+01

2.538505E+01

7.767468E+01

7.678400E+00

F18

8.607798E+03

8.795645E+03

5.661971E+03

3.162489E+05

1.154060E+04

3.849966E+05

1.098832E+04

9.371700E+03

F19

9.031860E+03

5.987647E+03

4.129975E+03

2.852037E+03

9.054784E+03

5.471260E+04

8.560898E+03

4.317100E+03

F20

5.931667E+00

6.098234E+00

4.069779E+00

2.536000E+01

1.125335E+01

1.157770E+01

1.088507E+01

8.020000E+00

F21

2.463861E+01

2.474735E+01

3.462078E+01

1.387511E+01

3.935563E+01

5.749930E+01

4.172461E+01

5.640000E+01

F22

2.726847E+02

2.993853E+02

4.118625E+01

6.374358E+01

5.246328E+02

2.484963E+01

5.577688E+02

1.696500E+00

F23

7.871882E+00

7.423315E+00

6.685624E+00

4.039476E+01

2.756917E+01

1.347747E+01

2.577728E+01

8.080700E+00

F24

6.260154E+01

5.623161E+01

5.295424E+01

4.201941E+01

9.080895E+01

6.163622E+01

1.017737E+02

3.656500E+01

F25

2.068780E+01

2.085310E+01

3.109816E+01

4.207752E+01

5.342638E+01

1.519722E+01

4.447559E+01

2.354700E+01

F26

5.016889E+02

5.039721E+02

1.535856E+02

9.299323E+01

6.095904E+02

2.173363E+02

5.849425E+02

1.306300E+02

F27

1.552200E+01

1.267574E+01

5.787664E+00

9.950950E+00

3.419072E+01

6.548021E+00

2.664334E+01

8.745300E+00

F28

1.175870E+02

1.416208E+02

4.324284E+01

5.978654E+01

1.247084E+02

1.184220E+02

1.602807E+02

1.254100E+02

F29

2.292976E+01

2.362148E+01

3.529465E+01

3.102604E+01

6.206546E+01

3.106894E+01

7.814361E+01

3.202800E+01

F30

4.625975E+05

1.919057E+05

3.845446E+05

1.477886E+06

1.116548E+06

4.204463E+05

4.634590E+05

2.947200E+05

+\āˆ’\ā‰ˆ

20\7\3

15\11\4

19\6\5

23\6\1

28\2\0

26\1\3

29\1\0

Ā 
  1. Significant values are in [bold].