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Table 4 Results of the algorithm with fifteen months of real-world data

From: Heuristic approaches for the car sequencing problems with block batches

Problem

Manual method

R&F + F&O

n

o

m

\(p_o{:}q_o\)

Vio cost

Opn con

Vio cost

Opn con

Cost sv (%)

Opt gap (%)

CPU time (s)

200

18

80

4:6

876

12.12

847

12.63

9.21

2.61

1.75

200

22

80

4:6

1132

10.83

1095

11.37

10.33

7.92

1.82

200

22

80

5:7

918

11.51

901

11.88

8.74

5.77

1.93

200

22

75

4:6

1315

9.60

1274

11.61

11.35

8.01

2.07

200

20

80

4:6

916

11.29

874

11.90

5.89

5.91

1.15

400

22

80

3:6

779

12.82

771

13.12

5.74

2.62

5.20

400

22

70

4:6

824

12.25

817

12.39

6.38

3.68

5.32

400

22

80

4:6

785

12.38

761

12.56

4.81

2.57

5.22

400

16

80

2:4

741

13.52

731

13.52

5.14

2.61

5.10

400

22

80

4:6

897

10.84

852

11.97

8.67

5.73

5.35

600

19

80

4:6

892

11.90

850

12.59

7.49

5.66

11.74

600

20

65

4:8

853

12.31

842

12.41

6.32

4.75

11.10

600

22

80

4:6

922

11.32

897

12.13

6.91

6.83

11.08

600

22

80

3:5

1235

11.76

1195

11.91

9.77

8.94

11.66

600

21

80

4:6

1201

11.73

1175

12.17

9.36

9.91

11.31

Avg

952.40

11.75

925.47

12.27

7.74

5.57

6.12