00176 Ïf7e187e189112aea61733f49621f5e
177
Economic Control Chart Models with Cycle Duration Constraints
Table 5A. Effect of Adding the Constraint a ^ 0.01 to Example 6: Control Chart Parameters and Moments of Tout
|
Constraints |
Control Chart Parameters |
Distribution of Tout | |||||
|
Tout |
a |
n |
R |
h’ |
PO.95 |
Mout |
(Tout |
|
NonÄ™ |
NonÄ™ |
45 |
2.02 |
37.61 |
60.03 |
25.75 |
16.58 |
|
NonÄ™ |
a <, 0.01 |
61 |
2.58 |
40.00 |
64.06 |
27.38 |
17.68 |
|
PO.95 — 50 |
NonÄ™ |
49 |
2.04 |
35.00 |
49.98 |
23.24 |
14.36 |
|
Po.95 ^ 50 |
a ^ 0.01 |
67 |
2.58 |
37.54 |
49.83 |
24.45 |
14.87 |
|
P0.95 ^ 40 |
NonÄ™ |
52 |
2.04 |
32.00 |
39.75 |
20.85 |
12.44 |
|
PO.95 ^ 40 |
a 10.01 |
71 |
2.58 |
35.47 |
39.99 |
22.68 |
13.31 |
|
PO.95 — 30 |
NonÄ™ |
57 |
2.05 |
26.90 |
29.88 |
17.24 |
9.77 |
|
PO 95 ^ 30 |
a < 0.01 |
73 |
2.58 |
26.61 |
29.95 |
17.14 |
9.78 |
|
PO.95 ^ 20 |
NonÄ™ |
61 |
2.10 |
17.14 |
19.99 |
11.45 |
6.14 |
|
PO.95 ^ 20 |
a < 0.01 |
76 |
2.58 |
17.00 |
19.97 |
11.40 |
6.14 |
|
PO.95 ^ 10 |
NonÄ™ |
68 |
2.15 |
6.78 |
9.99 |
5.60 |
2.64 |
|
Po.95 ^ 10 a <0.01 |
82 |
2.58 |
6.74 |
9.99 |
5.58 |
2.65 | |
|
Constraints |
Moments: Components of Tout | ||||||
|
Tout |
a |
Pi |
(Tl |
P2 |
(T2 |
J43_ |
(T3 |
|
NonÄ™ |
NonÄ™ |
19.98 |
10.82 |
3.77 |
12.49 |
2.00 |
1.41 |
|
NonÄ™ |
a <; 0.01 |
21.33 |
11.50 |
4.05 |
13.35 |
2.00 |
1.41 |
|
Po.95 — 50 |
NonÄ™ |
18.52 |
10.07 |
2.72 |
10.13 |
2.00 |
1.41 |
|
Po.95 — 50 |
a < 0.01 |
19.86 |
10.76 |
2.59 |
10.17 |
2.00 |
1.41 |
|
PO.95 ^ 40 |
NonÄ™ |
16.85 |
9.21 |
2.00 |
8.24 |
2.00 |
1.41 |
|
PO.95 ^ 40 |
a <0.01 |
18.78 |
10.21 |
1.90 |
8.42 |
2.00 |
1.41 |
|
Po.95 ^ 30 |
NonÄ™ |
14.05 |
7.75 |
1.19 |
5.78 |
2.00 |
1.41 |
|
PO.95 ^ 30 |
a < 0.01 |
13.89 |
7.67 |
1.25 |
5.91 |
2.00 |
1.41 |
|
PO.95 ^ 20 |
NonÄ™ |
8.82 |
4.95 |
0.63 |
3.35 |
2.00 |
1.41 |
|
PO 95 ^ 20 |
a ^ 0.01 |
8.74 |
4.90 |
0.66 |
3.41 |
2.00 |
1.41 |
|
Po.95 — 10 |
NonÄ™ |
3.43 |
1.95 |
0.17 |
1.08 |
2.00 |
1.41 |
|
PO.95 — 10 |
a < 0.01 |
3.41 |
1.95 |
0.18 |
1.10 |
2.00 |
1.41 |
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