Table 4 Forecasting result of each model of Shanghai Port.

From: A hybrid container throughput forecasting approach using bi-directional hinterland data of port

Model

MAE

RMSE

MPE

MAPE

SMAPE

Naive

170.0

208.15

3.80

3.80

3.90

ARIMA

136.21

165.44

-3.08

3.08

3.01

ARIMAX

52.17

646.01

-10.92

12.31

11.40

u-LSTM

728.44

761.01

16.65

16.65

18.27

m-LSTM

255.03

290.53

5.76

5.76

5.98

u-CNN

136.76

166.42

2.73

3.14

3.21

u-GRU

327.91

348.81

7.51

7.51

7.84

m-GRU

158.29

194.85

3.57

3.57

3.66

Transformer

589.43

620.04

13.45

13.45

14.51

Proposed Grey-CNN

93.73

116.71

0.89

2.11

2.14