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Table 4 Performance comparison of all algorithms based on benchmark functions F7–F12

From: An ECSO-based approach for optimizing degree distribution of short-length LT codes

Function

Algorithm

Standard deviation

Mean

Best

Worst

F7

APSO

1.7199E+01

4.3650E+00

0.0000E+00

1.0870E+02

DE

2.2119E+01

2.0320E+01

0.0000E+00

9.8650E+01

CSO

9.4792E+00

3.0670E+00

0.0000E+00

6.4400E+01

BCSO

9.4334E+00

2.9095E+00

0.0000E+00

6.6550E+01

 

DCSO

9.0134E+00

4.0845E+00

4.5000E−01

6.4250E+01

CCSO

8.0428E+00

2.4880E+00

0.0000E+00

5.9200E+01

ECSO

6.7709E+00

1.6255E+00

0.0000E+00

5.2950E+01

F8

APSO

5.7047E+03

8.2521E+03

2.2036E+03

2.5229E+04

DE

3.4683E+03

3.8976E+03

5.5399E+02

2.2475E+04

CSO

3.4032E+03

2.4246E+03

3.3888E+02

2.1273E+04

BCSO

3.0753E+03

2.3294E+03

2.7688E+02

1.6230E+04

DCSO

2.6553E+03

1.1508E+03

5.3335E−05

1.6955E+04

CCSO

3.1754E+03

1.6036E+03

1.2732E+02

2.2657E+04

ECSO

2.6438E+03

1.1180E+03

3.9454E−07

1.6007E+04

F9

APSO

2.7305E+02

1.5363E+02

1.8616E+01

1.1794E+03

DE

2.0441E+02

2.5411E+02

5.7273E+01

1.0046E+03

CSO

1.0097E+02

4.0486E+01

9.6601E−06

6.2801E+02

BCSO

1.0187E+02

3.6269E+01

1.2021E−08

6.5835E+02

DCSO

1.0786E+02

4.3412E+01

9.1331E−07

6.5675E+02

CCSO

1.0120E+02

3.9449E+01

6.0732E−07

6.7608E+02

ECSO

8.0768E+01

2.3935E+01

1.0119E−08

5.7983E+02

F10

APSO

1.9719E+01

4.4414E+00

2.0279E−02

1.6054E+02

DE

2.7524E+01

2.2175E+01

1.8682E−01

1.3731E+02

CSO

1.2493E+01

3.7259E+00

4.7947E−12

7.6476E+01

BCSO

1.1817E+01

3.1029E+00

8.9682E−13

8.2953E+01

DCSO

1.1784E+01

3.6059E+00

1.3398E−08

7.8886E+01

CCSO

1.0974E+01

2.9772E+00

1.4122E−12

8.3549E+01

ECSO

8.2519E+00

1.7539E+00

3.9075E−13

6.5495E+01

F11

APSO

1.9944E+11

3.6391E+10

3.2077E+01

1.7823E+12

DE

1.7313E+10

3.2944E+09

2.4898E+03

1.5493E+11

CSO

4.6866E+08

5.2398E+07

2.7157E−06

4.6870E+09

BCSO

3.4758E+08

3.5540E+07

7.7432E−08

3.4934E+09

DCSO

3.2962E+08

3.4301E+07

1.7245E−04

3.3122E+09

CCSO

1.0896E+09

1.2330E+08

2.9050E−06

1.0878E+10

ECSO

1.0777E+08

1.1629E+07

1.1224E−06

1.0810E+09

F12

APSO

1.2648E+02

1.9405E+01

1.9131E−02

1.1248E+03

DE

1.2314E+02

6.5162E+01

1.1084E−01

8.0601E+02

CSO

6.0829E+01

1.6762E+01

3.9479E−03

4.3591E+02

BCSO

5.5154E+01

1.1477E+01

4.2233E−03

4.5967E+02

DCSO

3.5858E+01

9.0720E+00

2.1421E−03

2.6972E+02

CCSO

4.2886E+01

9.6930E+00

2.5033E−03

3.6524E+02

ECSO

4.0757E+01

7.0128E+00

2.1833E−03

3.6695E+02