Skip to main content

Table 3 Performance comparison of all algorithms based on benchmark functions F1–F6

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

Function

Algorithm

Standard deviation

Mean

Best

Worst

F1

APSO

5.9492E+04

8.7705E+03

7.7646E−09

5.3110E+05

DE

7.4107E+03

1.3125E+03

1.0849E−29

6.2729E+04

CSO

7.6889E+02

1.0121E+02

4.7242E−51

7.4324E+03

BCSO

6.6555E+02

8.7229E+01

1.5939E−56

6.5051E+03

DCSO

9.7958E+02

1.2479E+02

2.3529E−13

9.7158E+03

CCSO

3.7588E+02

5.5510E+01

5.1173E−49

3.5087E+03

ECSO

1.1425E+02

1.3967E+01

1.7777E−76

1.1238E+03

F2

APSO

4.8242E+08

3.0668E+08

2.9954E+00

1.6746E+09

DE

1.4118E+08

6.6593E+07

5.6825E+00

8.1316E+08

CSO

5.2294E+07

1.3454E+07

4.4328E−03

3.9428E+08

BCSO

5.7113E+07

1.3255E+07

4.6421E−03

4.2143E+08

DCSO

3.5179E+07

6.6830E+06

1.3967E+00

2.9323E+08

CCSO

3.8502E+07

6.9098E+06

4.8575E−03

3.6967E+08

ECSO

3.8038E+07

5.8436E+06

9.9838E−02

3.6491E+08

F3

APSO

3.8828E+11

2.5392E+12

1.8276E+12

3.0721E+12

DE

3.6839E+11

1.8362E+11

8.6652E+06

2.1543E+12

CSO

1.5036E+11

4.1156E+10

8.3924E+00

9.5963E+11

BCSO

1.2359E+11

2.4851E+10

8.0768E+00

1.1022E+12

DCSO

1.0919E+11

2.3546E+10

8.9219E+00

9.4549E+11

CCSO

1.0876E+11

2.2786E+10

8.2943E+00

9.5715E+11

ECSO

1.0614E+11

1.7426E+10

7.5968E+00

9.7048E+11

F4

APSO

7.9438E+00

8.5669E+00

9.4325E−01

2.0735E+01

DE

4.8955E+00

1.4568E+01

4.9839E+00

2.0421E+01

CSO

5.3134E+00

2.9588E+00

9.1020E−06

1.9524E+01

BCSO

4.9538E+00

2.4553E+00

1.0627E−06

1.9181E+01

DCSO

4.9357E+00

2.8540E+00

6.1677E−04

1.9620E+01

CCSO

5.0396E+00

2.7284E+00

7.3455E−06

1.9609E+01

ECSO

3.6984E+00

1.3313E+00

1.8692E−07

1.9516E+01

F5

APSO

1.2130E+00

1.9364E+00

3.5936E−01

4.3676E+00

DE

5.9648E−01

1.3952E+00

6.9788E−01

3.4824E+00

CSO

4.8664E−01

3.1842E−01

2.9110E−05

2.3938E+00

BCSO

4.8423E−01

2.7001E−01

8.1348E−10

2.3181E+00

DCSO

4.8122E−01

2.6827E−01

2.3956E−08

2.2155E+00

CCSO

4.8224E−01

3.0687E−01

2.4610E−06

2.4380E+00

ECSO

4.0396E−01

1.7115E−01

1.3262E−14

2.2312E+00

F6

APSO

2.2211E−01

1.0988E−01

2.8881E−03

1.8355E+00

DE

3.4216E−01

3.0496E−01

3.1631E−03

1.5045E+00

CSO

1.3665E−01

3.4548E−02

1.6614E−14

1.0647E+00

BCSO

1.2132E−01

3.0265E−02

8.0612E−16

9.2391E−01

DCSO

1.2599E−01

3.3452E−02

4.3039E−12

1.0142E+00

CCSO

1.1833E−01

3.0734E−02

5.6060E−15

8.9365E−01

ECSO

1.0101E−01

2.2448E−02

4.6118E−18

7.9359E−01