Research Article
A Control Chart for Exponentially Distributed Characteristics Using Modified Multiple Dependent State Sampling
Table 2
The ARL and SDRL values of the proposed chart at
ā=ā300 with the
value varying from 2 to 10.
| | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| | 2.80952 | 2.71631 | 2.99340 | 2.89292 | 2.95491 | 3.08240832 | 2.95759 | 2.86055 | 2.94165 | | 1.64840 | 2.18966 | 1.76962 | 1.87672 | 1.89838 | 1.90957829 | 1.97186 | 2.04903 | 2.03151 |
| | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL |
| 1 | 300.00 | 299.50 | 300.00 | 299.50 | 299.98 | 299.48 | 300.02 | 299.51 | 300.01 | 299.51 | 300.03 | 299.53 | 300.02 | 299.52 | 300.01 | 299.51 | 300.00 | 299.50 | 0.90 | 187.23 | 186.73 | 191.28 | 190.78 | 186.86 | 186.36 | 181.02 | 180.51 | 180.56 | 180.06 | 183.17 | 182.67 | 177.47 | 176.96 | 175.92 | 175.42 | 174.86 | 174.36 | 0.80 | 107.38 | 106.88 | 112.26 | 111.76 | 105.23 | 104.73 | 99.49 | 98.99 | 98.42 | 97.92 | 100.01 | 99.51 | 94.97 | 94.47 | 93.99 | 93.48 | 92.32 | 91.81 | 0.70 | 58.18 | 57.68 | 62.35 | 61.85 | 55.09 | 54.59 | 51.36 | 50.85 | 50.16 | 49.66 | 50.49 | 49.99 | 47.61 | 47.11 | 47.33 | 46.83 | 45.80 | 45.30 | 0.60 | 30.45 | 29.94 | 33.45 | 32.94 | 27.60 | 27.10 | 25.62 | 25.11 | 24.69 | 24.19 | 24.48 | 23.97 | 23.18 | 22.68 | 23.25 | 22.75 | 22.22 | 21.71 | 0.50 | 15.66 | 15.15 | 17.57 | 17.07 | 13.62 | 13.11 | 12.71 | 12.20 | 12.14 | 11.63 | 11.88 | 11.37 | 11.41 | 10.90 | 11.57 | 11.06 | 11.00 | 10.49 | 0.40 | 8.05 | 7.53 | 9.17 | 8.65 | 6.83 | 6.31 | 6.48 | 5.96 | 6.20 | 5.68 | 6.03 | 5.51 | 5.92 | 5.40 | 6.08 | 5.56 | 5.82 | 5.30 | 0.30 | 4.22 | 3.68 | 4.84 | 4.31 | 3.62 | 3.08 | 3.53 | 2.99 | 3.42 | 2.88 | 3.35 | 2.81 | 3.38 | 2.83 | 3.51 | 2.97 | 3.41 | 2.87 | 0.20 | 2.33 | 1.76 | 2.66 | 2.10 | 2.11 | 1.53 | 2.13 | 1.55 | 2.11 | 1.53 | 2.10 | 1.52 | 2.15 | 1.57 | 2.23 | 1.65 | 2.20 | 1.63 | 0.10 | 1.42 | 0.77 | 1.57 | 0.95 | 1.40 | 0.74 | 1.43 | 0.78 | 1.43 | 0.79 | 1.43 | 0.79 | 1.46 | 0.82 | 1.49 | 0.85 | 1.48 | 0.85 |
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