Research Article
A Control Chart for Exponentially Distributed Characteristics Using Modified Multiple Dependent State Sampling
Table 5
The ARL and SDRL comparison of the proposed chart with the MDS chart at
= 200 with the
value varying from 2 to 6.
| | MMDS | MDS | MMDS | MDS | MMDS | MDS | MMDS | MDS | MMDS | MDS |
| | 2 | 3 | 4 | 5 | 6 | | 2.65298 | 3.05325 | 2.83972 | 2.93820 | 3.01942 | 3.17867 | 2.98755 | 2.81403 | 3.11139 | 2.64592 | | 1.80389 | 1.95328 | 1.64421 | 2.04096 | 1.68708 | 2.06290 | 1.76101 | 2.16003 | 1.79793 | 2.36430 |
| | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL |
| 1 | 199.99 | 199.49 | 199.99 | 199.49 | 200.00 | 199.50 | 200.00 | 199.50 | 200.01 | 199.51 | 200.00 | 199.50 | 200.00 | 199.50 | 200.01 | 199.51 | 200.00 | 199.50 | 200.00 | 199.50 | 0.90 | 133.16 | 132.66 | 139.12 | 138.62 | 130.57 | 130.07 | 134.54 | 134.04 | 132.51 | 132.01 | 137.09 | 136.58 | 129.58 | 129.08 | 130.97 | 130.47 | 130.73 | 130.23 | 134.26 | 133.76 | 0.80 | 81.26 | 80.76 | 87.56 | 87.06 | 77.72 | 77.22 | 82.12 | 81.61 | 79.24 | 78.74 | 84.39 | 83.89 | 75.79 | 75.29 | 78.16 | 77.65 | 76.56 | 76.06 | 82.58 | 82.08 | 0.70 | 46.69 | 46.19 | 50.92 | 50.42 | 43.26 | 42.76 | 46.68 | 46.17 | 43.76 | 43.26 | 47.79 | 47.29 | 41.09 | 40.59 | 43.79 | 43.29 | 41.24 | 40.74 | 47.84 | 47.34 | 0.60 | 25.84 | 25.34 | 28.06 | 27.56 | 23.10 | 22.59 | 25.41 | 24.90 | 22.96 | 22.45 | 25.68 | 25.17 | 21.31 | 20.80 | 23.73 | 23.22 | 21.14 | 20.64 | 26.75 | 26.25 | 0.50 | 14.01 | 13.50 | 15.03 | 14.52 | 12.11 | 11.60 | 13.59 | 13.08 | 11.79 | 11.28 | 13.51 | 13.00 | 10.93 | 10.41 | 12.76 | 12.25 | 10.72 | 10.21 | 14.73 | 14.22 | 0.40 | 7.56 | 7.05 | 8.00 | 7.49 | 6.40 | 5.88 | 7.32 | 6.80 | 6.13 | 5.61 | 7.18 | 6.66 | 5.74 | 5.22 | 6.99 | 6.47 | 5.62 | 5.09 | 8.15 | 7.63 | 0.30 | 4.14 | 3.60 | 4.34 | 3.80 | 3.51 | 2.96 | 4.06 | 3.52 | 3.36 | 2.81 | 3.97 | 3.44 | 3.22 | 2.68 | 3.99 | 3.45 | 3.17 | 2.63 | 4.61 | 4.08 | 0.20 | 2.36 | 1.79 | 2.45 | 1.89 | 2.07 | 1.49 | 2.38 | 1.81 | 2.02 | 1.43 | 2.35 | 1.78 | 2.00 | 1.42 | 2.41 | 1.85 | 2.00 | 1.42 | 2.71 | 2.15 | 0.10 | 1.45 | 0.81 | 1.50 | 0.86 | 1.37 | 0.71 | 1.50 | 0.87 | 1.37 | 0.71 | 1.50 | 0.87 | 1.38 | 0.73 | 1.54 | 0.91 | 1.39 | 0.74 | 1.64 | 1.02 |
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