00173 ¢14f0ea684702d6f4dd2ad20aa6ce08

00173 ¢14f0ea684702d6f4dd2ad20aa6ce08



174


McWilliams

Table 4B. Cost Breakdowns and Related Information for X -Chart Eiamples

Contro! Chart Parameters

Example Source

Constraint

r

e

n* R*

h*

a

P

6 Duncan (1956)

NonÄ™

2

1.00

45 2.02

37.61

0.043

0.909

Ex. 24

PO.95^50

2

1.00

49 2.04

35.00

0.041

0.928

PO.95^40

2

1.00

52 2.04

32.00

0.041

0.941

PO.95^30

2

1.00

57 2.05

26.90

0.040

0.958

Po.95^20

2

1.00

61 2.10

17.14

0.036

0.964

Po.93—10

2

1.00

68 2.15

6.78

0.032

0.976

7 Gibra(1971)

NonÄ™

2

5.00

5 2.89

0.66

0.004

0.943

Ex. 2

Po.9s^llO

2

5.00

5 2.82

0.43

0.005

0.951

(with additional costs)

PO 95^1-25

2

5.00

5 2.79

0.25

0.005

0.954

8 Gibra(1971)

Po.95^1-25

2

5.00

6 2.92

0.47

0.004

0.976

Ex. 2

Po.95^1-25

2

5.00

5 2.78

0.36

0.005

0.955

9 Gibra(1971)

Po.95^5

1

1.00

12 1.99

2.34

0.047

0.930

Ex. 4

Po.95^5

1

1.00

10 2.06

1.67

0.039

0.865

Cost Breakdown*

Example Souece

ECL % Time In-Control

COST1 COST2 COST3 Total Cost

6 Duncan (1956)

128.00

78.12

0.49

0.23

0.25

0.98

Ex. 24

125.69

79.56

0.46

0.24

0.28

0.98

123.45

81.01

0.43

0.25

0.32

0.99

120.09

83.27

0.38

0.26

0.40

1.04

114.50

87.34

0.28

0.30

0.65

1.23

109.00

91.75

0.19

0.44

1.74

2.36

7 Gibra (1971)

20.77

96.29

3.34

2.04

1.39

6.77

Ex. 2

20.64

96.91

2.78

2.15

2.14

7.07

(with additional costs)

20.54

97.38

2.36

2.36

3.68

8.39

8 Gibra (1971)

20.65

96.86

0.00

0.14

2.17

2.31

Ex. 2

20.60

97.10

0.00

0.29

2.56

2.85

9 Gibra (1971)

12.39

80.70

0.00

0.71

3.46

4.17

Ex. 4

12.12

82.51

0.00

0.89

4.13

5.03

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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