Table 3 Algorithm performance comparison.

From: Research on cross-provincial power trading strategy considering the medium and long-term trading plan

Fun

Metric

AOA

IAOA

GWO

PSO

WOA

F1

mean

2.1358E-26

6.1397E-31

1.2327E-02

4.0222E + 00

7.2064E-12

std

3.6992E-26

1.0536E-30

6.3953E-03

1.9826E + 00

1.0547E-11

F2

mean

2.8949E-16

3.7175E-17

1.7496E-02

9.1641E + 00

1.8271E-08

std

3.9320E-16

5.1639E-17

1.4192E-03

1.7183E-01

1.9721E-08

F3

mean

9.8205E-24

6.5068E-32

3.5188E + 02

8.6560E + 02

7.8766E + 04

std

1.3888E-23

9.1148E-32

1.6785E + 02

8.9442E + 01

2.1716E + 03

F4

mean

1.4002E-16

1.6860E-18

1.2019E + 00

5.1169E + 00

6.3832E + 01

std

1.9622E-16

1.6636E-18

5.2538E-02

1.9468E + 00

1.0905E + 01

F5

mean

1.8426E-01

1.8260E-02

3.0000E + 01

1.5800E + 03

2.8766E + 01

std

4.1825E-02

7.0675E-03

3.4804E-01

2.8242E + 02

2.9840E-02

F6

mean

2.8677E-03

1.6431E-04

2.4393E + 00

7.2263E + 00

1.8831E + 00

std

2.3632E-04

1.2661E-04

1.3397E + 00

1.8831E + 00

2.1588E-01

F7

mean

8.0655E-04

8.8142E-05

3.2970E-02

7.5480E + 00

1.8657E-02

std

4.5616E-04

1.9203E-05

1.2335E-02

3.0715E + 00

5.2969E-03

F8

mean

−3.5249E + 03

−3.7282E + 03

−4.0552E + 03

−2.8864E + 03

−7.5734E + 03

std

1.0365E + 02

7.7337E + 01

1.7045E + 03

2.6475E + 02

1.3451E + 03

F9

mean

0.0000E + 00

0.0000E + 00

3.6812E + 01

2.0944E + 02

3.0411E-12

std

0.0000E + 00

0.0000E + 00

1.1423E + 01

1.7348E + 01

3.8185E-12

F10

mean

1.4557E-12

4.4409E-15

2.4330E-02

3.0610E + 00

3.8480E-07

std

2.0575E-12

5.0243E-15

1.3435E-03

7.0831E-01

3.9975E-07

F11

mean

0.0000E + 00

0.0000E + 00

1.0007E-01

1.9732E + 01

4.8755E-12

std

0.0000E + 00

0.0000E + 00

3.5171E-02

7.0276E + 00

6.6498E-12

F12

mean

1.7285E-04

2.2557E-07

6.9775E-01

1.3736E + 00

1.5048E-01

std

2.4104E-04

1.4064E-07

2.4924E-01

1.6342E + 00

2.5074E-02

F13

mean

1.0419E-04

5.0362E-05

1.5306E + 00

1.7448E + 00

8.3289E-01

std

9.9322E-05

3.0694E-05

2.5244E-02

8.8600E-01

1.7266E-01

F14

mean

1.4950E + 00

9.9815E-01

6.8727E + 00

1.5116E + 00

7.3658E + 00

std

7.0286E-01

2.0506E-04

5.5021E + 00

6.7946E-01

4.8047E + 00

F15

mean

1.0063E-03

5.5518E-04

6.9381E-04

8.8895E-04

1.4809E-03

std

1.9476E-04

9.5771E-05

3.9457E-05

2.7881E-04

1.0904E-03