Research Article
A Control Chart for Exponentially Distributed Characteristics Using Modified Multiple Dependent State Sampling
Table 4
The ARL and SDRL values of the proposed chart at
ā=ā500 with the
value varying from 2 to 10.
| | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| | 2.92776 | 2.88286 | 2.84840 | 2.86525 | 2.93012 | 2.90614 | 3.02547 | 2.87998 | 2.88962 | | 1.69567 | 1.90976 | 2.09168 | 2.09376 | 2.03635 | 2.10125 | 2.04767 | 2.20013 | 2.20653 |
| | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL |
| 1 | 500.04 | 499.54 | 500.00 | 499.50 | 499.99 | 499.49 | 499.99 | 499.49 | 500.06 | 499.59 | 500.00 | 499.50 | 500.00 | 499.50 | 499.99 | 499.49 | 500.01 | 499.51 | 0.90 | 292.08 | 291.58 | 285.90 | 285.40 | 286.47 | 285.97 | 283.00 | 282.50 | 278.35 | 277.85 | 277.08 | 276.58 | 276.95 | 276.45 | 276.92 | 276.42 | 274.92 | 274.42 | 0.80 | 157.62 | 157.12 | 151.64 | 151.14 | 152.41 | 151.91 | 148.41 | 147.91 | 142.59 | 142.09 | 141.58 | 141.07 | 139.19 | 138.68 | 141.54 | 141.04 | 139.34 | 138.84 | 0.70 | 80.74 | 80.24 | 76.62 | 76.12 | 77.27 | 76.77 | 74.03 | 73.53 | 69.19 | 68.69 | 68.61 | 68.10 | 65.68 | 65.18 | 68.63 | 68.13 | 66.98 | 66.48 | 0.60 | 40.05 | 39.54 | 37.59 | 37.08 | 38.00 | 37.50 | 35.82 | 35.32 | 32.60 | 32.10 | 32.32 | 31.82 | 30.11 | 29.61 | 32.37 | 31.86 | 31.38 | 30.88 | 0.50 | 19.53 | 19.03 | 18.19 | 17.68 | 18.42 | 17.91 | 17.15 | 16.64 | 15.33 | 14.82 | 15.23 | 14.72 | 13.94 | 13.43 | 15.31 | 14.80 | 14.82 | 14.31 | 0.40 | 9.52 | 9.00 | 8.85 | 8.34 | 8.98 | 8.47 | 8.34 | 7.82 | 7.45 | 6.93 | 7.44 | 6.93 | 6.81 | 6.29 | 7.56 | 7.04 | 7.37 | 6.85 | 0.30 | 4.73 | 4.20 | 4.45 | 3.92 | 4.54 | 4.01 | 4.28 | 3.74 | 3.90 | 3.36 | 3.94 | 3.41 | 3.68 | 3.14 | 4.08 | 3.54 | 4.03 | 3.49 | 0.20 | 2.48 | 1.92 | 2.41 | 1.84 | 2.49 | 1.92 | 2.41 | 1.84 | 2.29 | 1.71 | 2.34 | 1.77 | 2.25 | 1.68 | 2.44 | 1.88 | 2.44 | 1.88 | 0.10 | 1.45 | 0.81 | 1.47 | 0.83 | 1.52 | 0.89 | 1.51 | 0.88 | 1.49 | 0.85 | 1.51 | 0.88 | 1.49 | 0.85 | 1.56 | 0.93 | 1.56 | 0.93 |
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