Table 20 Different dimensions of the problem for solving the mathematical model.

From: Optimization of carbon emission in an integrated machine-piece scheduling and vehicle routing problem and its solution using MOPSO and NSGAII metaheuristic algorithms

Problem no

Number of customers

Number of vehicles

The number of workpieces

Placement of pieces

Problem no

Number of customers

Number of vehicles

The number of workpieces

Placement of pieces

1

5

1

5

5

16

80

7

80

80

2

10

1

10

10

17

85

7

85

85

3

15

2

15

15

18

90

7

90

90

4

20

2

20

20

19

95

7

95

95

5

25

3

25

25

20

100

8

100

100

6

30

3

30

30

21

105

8

105

105

7

35

4

35

35

22

110

8

110

110

8

40

4

40

40

23

115

8

115

115

9

45

5

45

45

24

120

8

120

120

10

50

5

50

50

25

125

9

125

125

11

55

5

55

55

26

130

9

130

130

12

60

6

60

60

27

135

9

135

135

13

65

6

65

65

28

140

10

140

140

14

70

6

70

70

29

145

10

145

145

15

75

7

75

75

30

150

10

150

150

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