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Table 3 A comparison of LNS and R&F + F&O on 30 runs

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

Instance

LNS (MIPACO-LCM)

R&F + F&O

Instance

B-UB

M-UB

SD

Gap (%)

B-UB

M-UB

SD

Gap (%)

100-22

252.04

255.71

1.88

9.59

253.66

253.66

0.00

8.33

100-35

208.94

210.17

0.78

5.80

208.11

211.30

1.33

5.93

100-64

232.84

234.65

1.03

5.35

232.15

232.74

0.79

4.22

100-77

166.32

169.13

1.28

11.93

167.43

163.05

0.00

7.64

100-82

225.03

229.18

2.07

10.71

226.06

222.85

0.00

7.38

100-94

168.93

173.48

2.20

13.59

167.36

169.77

2.04

10.95

300-08

548.57

548.57

0.00

13.14

549.22

521.64

1.01

9.38

300-14

712.59

712.59

0.00

5.58

713.47

714.93

0.56

6.22

300-53

665.57

669.34

0.70

15.30

642.64

642.64

0.00

5.14

300-56

467.53

467.70

0.93

11.89

451.04

452.73

0.45

8.41

300-62

728.48

733.61

2.61

8.17

719.45

741.03

2.77

9.22

300-78

517.41

517.41

0.00

10.63

521.69

523.64

0.45

11.95

500-14

617.25

617.25

0.00

26.04

582.37

582.37

0.00

21.38

500-27

1398.77

1398.77

0.00

11.51

1385.62

1385.62

0.00

10.64

500-65

735.80

735.80

0.00

24.78

719.32

719.32

0.00

20.32

500-74

672.28

672.28

0.00

17.94

648.02

648.02

0.00

14.04

500-79

1274.54

1278.98

2.03

5.63

1243.16

1284.07

1.55

6.04

500-88

1057.46

1057.46

0.00

13.33

1023.35

1016.77

2.01

9.38

  1. The observed best mean value of upper bound for each instance is marked as bold