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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 |