00172 \054ced78d0cd0be7c787fa7d5c6926

00172 \054ced78d0cd0be7c787fa7d5c6926



Economic Contro! Chart Models with Cycle Duration Constraints 173

Table 4A. Cost Breakdowns and Related Information for p-Chart Eiamples

C on troi Chart Param eters

Example Source

Constraint

r

e

n* R*

h*

a

P

1 Lorenzen and

Nonę

1

1.20

1 1

0.38

0.014

0.113

Vance(1986)

P0.95^6

1

1.20

15 2

1.17

0.017

0.518

Po.95^5

1

1.20

18 2

1.17

0.024

0.620

Po.95—4

1

1.20

19 2

0.86

0.027

0.650

Po.95—^

2

2.40

16 2

1.06

0.020

0.554

Po.95^5

3

3.60

17 2

1.18

0.022

0.588

Po.95^5

4

4.80

16 2

1.08

0.020

0.554

2 Chiu (1975)

Nonę

2

6.67

77 5

1.55

0.006

0.894

PO.95^2.0

2

6.67

87 5

1.34

0.010

0.943

Po.93^1-5

2

6.67

90 5

0.91

0.012

0.953

3 Duncan (1978)

Nonę

2

1.00

12 1

23.65

0.460

0.581

Table 1 Ex. 12

PO.93^60

2

1.00

14 1

19.42

0.512

0.638

PO.93^50

2

1.00

14 1

16.05

0.512

0.638

4 Duncan (1978)

Nonę

2

1.00

28 2

7.70

0.032

0.507

Table 1 Ex. 31

P0 93<20

2

1.00

35 2

5.76

0.048

0.629

5 Gibra(1978) Ex. 2

Nonę

2

0.91

36 2

1.39

0.162

0.887

Po«<5.5

2

0.91

39 2

0.47

0.183

0.912

Cost Breakdown*

Example Source

ECL

% Time In-Control COST1

COST

COS

Total

2

T3

Cost

1 Lorenzen and

54.09

92.44

164.20

50.28

10.95

225.44

Vance(1986)

53.76

93.01

159.37

31.44

53.35

244.26

53.64

93.22

157.61

37.07

64.02

258.70

53.31

93.79

152.76

47.00

91.92

291.68

53.55

93.37

156.33

34.91

62.81

254.05

53.67

93.16

158.07

34.96

59.95

252.98

53.58

93.32

156.72

34.58

61.64

252.94

2 Chiu (1975)

101.30

98.72

0.95

0.84

0.82

2.60

101.13

98.89

0.74

0.93

1.02

2.69

100.93

99.08

0.50

1.06

1.53

3.09

3 Duncan (1978)

131.92

75.80

4.84

0.42

2.96

8.22

Table 1 Ex. 12

123.75

80.81

3.84

0.58

4.12

8.54

120.05

83.30

3.34

0.72

4.98

9.04

4 Duncan (1978)

114.78

87.12

12.88

7.82

4.29

24.99

Table 1 Ex. 31

110.05

90.87

9.13

11.88

6.94

27.96

5 Gibra (1978) Ex. 2

85.10

94.01

2.48

1.42

1.62

5.52

88.89

89.99

1.07

2.59

4.60

8.27

a COST1: Hourly cost due to production of nonconforming items. COST2: Hourly cost due to false alarms and assignable causes. COST3: Hourly cost due to sampling.


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