Research Article
Efficient Auxiliary Information–Based Control Charting Schemes for the Process Dispersion with Application of Glass Manufacturing Industry
Table 4
Run-length profile of one-sided
control chart at
= 200.
| | 0.25 | 0.50 | 0.75 | 0.90 | 0.95 |
| | |
| | 1.5875 | 1.5825 | 1.572 | 1.5659 | 1.56 |
| | | | | | | | | | | | 1.0 | 200.88 | 230.95 | 200.05 | 230.21 | 200.10 | 228.49 | 200.96 | 228.86 | 200.63 | 229.12 | 1.1 | 25.79 | 27.51 | 24.87 | 26.28 | 19.87 | 20.93 | 12.38 | 12.57 | 8.06 | 7.82 | 1.2 | 9.90 | 10.13 | 9.49 | 9.68 | 7.74 | 7.84 | 4.74 | 4.48 | 3.16 | 2.78 | 1.3 | 5.71 | 5.71 | 5.41 | 5.39 | 4.29 | 4.14 | 2.84 | 2.53 | 2.01 | 1.53 | 1.4 | 3.86 | 3.67 | 3.66 | 3.47 | 2.99 | 2.73 | 2.06 | 1.62 | 1.57 | 1.00 | 1.5 | 2.92 | 2.70 | 2.82 | 2.53 | 2.28 | 1.94 | 1.69 | 1.18 | 1.36 | 0.75 | 1.6 | 2.34 | 2.02 | 2.26 | 1.93 | 1.93 | 1.51 | 1.47 | 0.90 | 1.25 | 0.58 | 1.7 | 1.99 | 1.60 | 1.95 | 1.55 | 1.67 | 1.18 | 1.33 | 0.71 | 1.17 | 0.47 | 1.8 | 1.76 | 1.33 | 1.71 | 1.24 | 1.51 | 0.98 | 1.25 | 0.59 | 1.13 | 0.40 | 1.9 | 1.61 | 1.10 | 1.55 | 1.03 | 1.39 | 0.79 | 1.19 | 0.50 | 1.10 | 0.34 | 2.0 | 1.47 | 0.92 | 1.45 | 0.92 | 1.32 | 0.70 | 1.16 | 0.44 | 1.08 | 0.29 |
| | |
| | 1.8475 | 1.8449 | 1.821 | 1.799 | 1.789 |
| 1.0 | 200.96 | 217.27 | 200.91 | 217.63 | 200.48 | 215.52 | 200.27 | 216.11 | 200.78 | 217.14 | 1.1 | 29.40 | 30.26 | 28.19 | 28.84 | 22.65 | 22.75 | 14.02 | 13.56 | 9.09 | 8.31 | 1.2 | 11.24 | 11.00 | 10.69 | 10.36 | 8.57 | 8.13 | 5.30 | 4.79 | 3.51 | 2.99 | 1.3 | 6.39 | 6.06 | 6.09 | 5.70 | 4.79 | 4.43 | 3.11 | 2.66 | 2.18 | 1.66 | 1.4 | 4.30 | 3.97 | 4.12 | 3.81 | 3.31 | 2.95 | 2.24 | 1.77 | 1.67 | 1.12 | 1.5 | 3.20 | 2.85 | 3.07 | 2.72 | 2.51 | 2.11 | 1.78 | 1.26 | 1.43 | 0.81 | 1.6 | 2.55 | 2.17 | 2.47 | 2.09 | 2.06 | 1.58 | 1.55 | 0.97 | 1.29 | 0.63 | 1.7 | 2.15 | 1.74 | 2.08 | 1.65 | 1.79 | 1.30 | 1.38 | 0.76 | 1.21 | 0.52 | 1.8 | 1.87 | 1.40 | 1.83 | 1.36 | 1.60 | 1.08 | 1.30 | 0.66 | 1.15 | 0.42 | 1.9 | 1.68 | 1.17 | 1.64 | 1.12 | 1.47 | 0.89 | 1.22 | 0.55 | 1.12 | 0.37 | 2.0 | 1.54 | 1.00 | 1.51 | 0.96 | 1.37 | 0.77 | 1.17 | 0.47 | 1.10 | 0.33 |
| | |
| | 1.6875 | 1.6794 | 1.6672 | 1.655 | 1.648 |
| | | | | | | | | | | | 1.0 | 200.70 | 228.03 | 200.19 | 226.08 | 200.00 | 225.63 | 200.08 | 225.87 | 200.60 | 227.32 | 1.1 | 26.23 | 27.74 | 25.09 | 26.38 | 20.16 | 20.94 | 12.59 | 12.56 | 8.21 | 7.82 | 1.2 | 10.05 | 10.17 | 9.60 | 9.66 | 7.82 | 7.79 | 4.83 | 4.45 | 3.22 | 2.78 | 1.3 | 5.77 | 5.64 | 5.48 | 5.34 | 4.35 | 4.09 | 2.87 | 2.49 | 2.05 | 1.53 | 1.4 | 3.96 | 3.71 | 3.72 | 3.44 | 3.03 | 2.70 | 2.09 | 1.61 | 1.59 | 1.02 | 1.5 | 2.95 | 2.67 | 2.87 | 2.54 | 2.34 | 1.95 | 1.73 | 1.19 | 1.38 | 0.77 | 1.6 | 2.38 | 2.02 | 2.30 | 1.91 | 1.96 | 1.51 | 1.49 | 0.91 | 1.25 | 0.58 | 1.7 | 2.02 | 1.60 | 1.95 | 1.52 | 1.70 | 1.19 | 1.35 | 0.73 | 1.19 | 0.48 | 1.8 | 1.80 | 1.33 | 1.74 | 1.26 | 1.52 | 0.97 | 1.27 | 0.61 | 1.14 | 0.41 | 1.9 | 1.62 | 1.10 | 1.58 | 1.06 | 1.41 | 0.81 | 1.20 | 0.50 | 1.10 | 0.34 | 2.0 | 1.50 | 0.96 | 1.47 | 0.90 | 1.33 | 0.73 | 1.16 | 0.46 | 1.08 | 0.31 |
| | |
| | 1.9708 | 1.9645 | 1.939 | 1.909 | 1.894 |
| 1.0 | 200.10 | 213.90 | 200.52 | 214.69 | 200.16 | 213.50 | 200.37 | 213.25 | 200.49 | 214.33 | 1.1 | 30.30 | 30.96 | 28.91 | 29.30 | 23.29 | 23.31 | 14.45 | 13.84 | 9.30 | 8.41 | 1.2 | 11.54 | 11.15 | 11.00 | 10.57 | 8.76 | 8.18 | 5.43 | 4.83 | 3.60 | 3.00 | 1.3 | 6.54 | 6.09 | 6.26 | 5.78 | 4.89 | 4.43 | 3.19 | 2.67 | 2.23 | 1.67 | 1.4 | 4.41 | 3.98 | 4.19 | 3.79 | 3.37 | 2.96 | 2.28 | 1.78 | 1.70 | 1.13 | 1.5 | 3.26 | 2.86 | 3.13 | 2.72 | 2.56 | 2.10 | 1.83 | 1.28 | 1.45 | 0.83 | 1.6 | 2.61 | 2.18 | 2.52 | 2.10 | 2.13 | 1.62 | 1.57 | 0.98 | 1.31 | 0.65 | 1.7 | 2.19 | 1.73 | 2.12 | 1.66 | 1.83 | 1.33 | 1.41 | 0.80 | 1.22 | 0.54 | 1.8 | 1.91 | 1.43 | 1.87 | 1.38 | 1.63 | 1.07 | 1.31 | 0.66 | 1.16 | 0.43 | 1.9 | 1.71 | 1.17 | 1.68 | 1.13 | 1.49 | 0.91 | 1.24 | 0.55 | 1.13 | 0.38 | 2.0 | 1.57 | 1.01 | 1.54 | 0.97 | 1.38 | 0.77 | 1.18 | 0.48 | 1.10 | 0.34 |
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