00170 T3e60c0b7a0adbf4a4552dbad326e94

00170 T3e60c0b7a0adbf4a4552dbad326e94



171


Economic Control Chart Models with Cycle Duration Constraints

Table 3A. Control Chart Parameters and Moments of Toat for p-Chart Examples

Control Chart    Distribution of Tout

Parameters

Example Source

Constraint

n

R* h*

PO.95

Pout

er out

1 Lorenzen and

Nonę

1

1 0.38

10.46

4.01

3.28

Vance(1986)

p095^6

15

2 1.17

6.01

2.51

1.81

pO.95^5

18

2 1.17

4.98

2.41

1.47

P0.95^4

19

2 0.86

4.00

1.73

1.17

po.95^5

16

2 1.06

5.00

2.22

1.44

Po.95^5

17

2 1.18

5.01

2.25

1.42

Po.95^5

16

2 1.08

4.98

2.25

1.40

2 Chiu (1975)

Nonę

77

5 1.55

2.77

1.26

0.72

P0.95^2

87

5 1.34

2.00

1.05

0.58

pO.95^1-5

90

5 0.91

1.50

0.80

0.30

3 Duncan (1978)

Nonę

12

1 23.65

86.79

31.32

27.22

Table 1 Ex. 12

PO.95^60

14

1 19.42

59.69

23.05

19.21

P0.95<50

14

1 16.05

50.11

19.35

15.89

4 Duncan (1978)

Nonę

28

2 7.70

35.22

13.38

10.98

Table 1 Ex. 31

pO.95^20

35

2 5.76

20.02

8.30

5.99

5 Gibra (1978) Ex. 2

Nonę

36

2 1.39

6.28

3.07

1.70

po.95^5.5 39

2 0.47

5.51

2.48

1.56

Moments: Components of Tout

Example Source

Pi

CTi

P2

02

B_

<r3

1 Lorenzen and

0.19

0.01

2.98

3.17

0.83

0.83

Vance (1986)

0.59

0.34

1.09

1.57

0.83

0.83

0.59

0.34

0.72

1.17

0.83

0.83

0.43

0.25

0.46

0.78

0.83

0.83

0.53

0.31

0.85

1.28

0.83

0.59

0.59

0.35

0.83

1.29

0.83

0.48

0.54

0.31

0.87

1.30

0.83

0.42

2 Chiu (1975)

0.78

0.39

0.18

0.56

0.30

0.21

0.67

0.42

0.08

0.34

0.30

0.21

0.46

0.01

0.04

0.21

0.30

0.21

3 Duncan (1978)

12.29

6.82

17.03

26.32

2.00

1.41

Table 1 Ex. 12

10.02

5.60

11.02

18.32

2.00

1.41

8.24

4.63

9.11

15.14

2.00

1.41

4 Duncan (1978)

3.90

2.23

7.48

10.66

2.00

1.41

Table 1 Ex. 31

2.91

1.67

3.40

5.58

2.00

1.41

5 Gibra (1978) Ex. 2

0.70

0.44

0.18

0.53

2.00

1.56

0.24

0.01

0.05

0.15

2.00

1.56


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