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Table 11 Pareto front solution set

From: Optimization of Cutting Parameters for Trade-off Among Carbon Emissions, Surface Roughness, and Processing Time

No.

Cutting depth (mm)

Spindle speed (r/min)

Feed rate (mm)

Carbon emissions (g-CO2)

Processing time (s)

Surface roughness (ÎĽm)

Relative closeness

Note

1

1.50

300

0.30

55.57

79.28

18.49

0.5007

Minimum carbon emission

2

1.50

300

0.10

91.26

180.61

5.33

0.4943

Minimum surface roughness

3

1.50

300

0.10

91.26

180.61

5.33

0.4943

Minimum surface roughness

4

1.50

600

0.30

83.07

53.94

18.49

0.5029

Minimum processing time

5

1.93

600

0.10

116.97

104.61

5.33

0.6056

Minimum surface roughness

6

1.51

546

0.30

77.39

56.48

18.49

0.5073

 

7

1.99

600

0.19

94.31

68.83

14.57

0.5378

 

8

1.66

335

0.22

64.48

89.43

16.70

0.5000

 

9

1.52

300

0.13

78.50

144.21

9.22

0.5175

 

10

1.53

300

0.26

58.61

87.56

17.99

0.4885

 

11

1.53

333

0.25

61.72

84.31

17.64

0.4965

 

12

1.89

560

0.13

101.99

92.52

8.76

0.6187

 

13

1.53

336

0.24

62.74

85.92

17.31

0.4979

 

14

1.55

300

0.15

74.01

131.14

11.02

0.5172

 

15

1.52

326

0.15

75.68

124.45

10.80

0.5407

 

16

1.98

559

0.20

87.94

68.55

15.61

0.5259

 

17

1.61

300

0.28

57.08

82.42

18.43

0.4934

 

18

1.54

300

0.11

86.51

166.75

6.64

0.5042

 

19

1.52

300

0.12

83.44

158.22

7.55

0.5102

 

20

1.57

310

0.18

68.07

109.66

13.99

0.5093

 

21

1.50

300

0.10

90.22

177.63

5.59

0.4966

 

22

1.55

300

0.18

67.41

112.31

14.01

0.5026

 

23

1.55

301

0.14

76.72

138.38

9.94

0.5193

 

24

1.53

300

0.11

87.92

170.81

6.24

0.5012

 

25

1.89

590

0.11

110.87

98.26

6.77

0.6162

 

26

1.59

314

0.17

69.44

111.70

13.46

0.5154

 

27

1.94

599

0.10

114.82

101.59

5.91

0.6102

 

28

1.88

560

0.12

104.94

97.59

7.65

0.6206

Minimum overall

29

1.51

309

0.10

91.55

176.00

5.33

0.5021

Minimum surface roughness

30

1.91

567

0.12

104.45

94.49

8.13

0.6199

 

31

1.52

300

0.11

84.60

161.31

7.19

0.5084

 

32

1.98

594

0.12

107.61

91.45

8.14

0.6165

 

33

1.55

301

0.13

77.70

141.14

9.57

0.5189

 

34

1.95

600

0.21

91.19

64.18

16.18

0.5153

 

35

1.77

600

0.17

96.91

74.07

12.81

0.5677

 

36

1.98

596

0.21

90.75

64.28

16.22

0.5150

 

37

1.72

300

0.17

69.77

117.41

13.16

0.5063

 

38

1.51

300

0.11

85.11

163.05

7.02

0.5071

 

39

1.71

327

0.17

72.28

112.90

12.66

0.5288

 

40

1.95

600

0.15

100.03

78.02

11.57

0.5851

 

41

1.50

544

0.29

77.71

57.56

18.48

0.5051

 

42

1.96

558

0.21

87.39

67.91

15.83

0.5231

 

43

1.92

600

0.10

116.92

104.61

5.33

0.6057

Minimum surface roughness

44

2.00

599

0.18

95.29

70.59

13.99

0.5469

 

45

1.55

301

0.12

82.24

153.67

7.99

0.5140

 

46

1.89

589

0.11

111.72

99.91

6.46

0.6149

 

47

1.54

304

0.13

80.70

148.25

8.52

0.5190

 

48

1.71

300

0.15

73.85

129.08

11.32

0.5150

 

49

1.52

327

0.14

76.88

127.17

10.33

0.5428

 

50

1.92

587

0.10

113.51

103.03

5.90

0.6110

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