Research Article
New One-Sided EWMA t Charts without and with Variable Sampling Intervals for Monitoring the Process Mean
Table 7
The out-of-control ATS1 profiles of the VSI and FSI upper-sided NEWMA t charts when ATS0 = 200 and n∈{9, 11}.
| n | λ | Chart | UWL+ | UCL+ | δ | 0.1 | 0.3 | 0.5 | 0.7 | 1.0 | 1.5 | 2 | 3 |
| 9 | 0.1 | FSI | — | 0.5614 | 35.53 | 8.61 | 4.74 | 3.33 | 2.38 | 1.73 | 1.36 | 1.02 | VSI | 0.0395 | 0.5614 | 17.82 | 2.00 | 0.75 | 0.41 | 0.24 | 0.17 | 0.14 | 0.10 | 0.2 | FSI | — | 0.9227 | 44.74 | 9.12 | 4.50 | 3.01 | 2.11 | 1.73 | 1.16 | 1.02 | VSI | 0.0721 | 0.9227 | 25.37 | 2.18 | 0.72 | 0.37 | 0.22 | 0.15 | 0.12 | 0.10 | 0.3 | FSI | — | 1.2367 | 54.12 | 10.42 | 4.60 | 2.93 | 1.98 | 1.36 | 1.08 | 1.00 | VSI | 0.0966 | 1.2367 | 33.60 | 2.57 | 0.73 | 0.36 | 0.20 | 0.14 | 0.11 | 0.10 | 0.4 | FSI | — | 1.5315 | 63.18 | 12.25 | 4.94 | 2.97 | 1.91 | 1.28 | 1.05 | 1.00 | VSI | 0.1197 | 1.5315 | 42.02 | 3.28 | 0.78 | 0.36 | 0.20 | 0.13 | 0.11 | 0.10 | 0.5 | FSI | — | 1.8214 | 70.77 | 14.61 | 5.50 | 3.08 | 1.89 | 1.24 | 1.04 | 1.00 | VSI | 0.1423 | 1.8214 | 49.77 | 4.31 | 0.89 | 0.37 | 0.19 | 0.12 | 0.10 | 0.10 | 0.75 | FSI | — | 2.5577 | 87.52 | 22.06 | 7.90 | 3.83 | 1.98 | 1.19 | 1.02 | 1.00 | VSI | 0.1998 | 2.5577 | 67.82 | 8.50 | 1.50 | 0.48 | 0.20 | 0.12 | 0.10 | 0.10 | 0.9 | FSI | — | 3.0280 | 96.41 | 27.38 | 9.96 | 4.64 | 2.16 | 1.20 | 1.02 | 1.00 | VSI | 0.2366 | 3.0280 | 77.82 | 12.23 | 2.26 | 0.63 | 0.22 | 0.12 | 0.10 | 0.10 | 1.0 | FSI | — | 3.3526 | 100.79 | 30.40 | 11.56 | 5.31 | 2.33 | 1.20 | 1.02 | 1.00 | VSI | 0.2619 | 3.3526 | 82.44 | 14.98 | 2.99 | 0.78 | 0.24 | 0.12 | 0.10 | 0.10 | 11 | 0.1 | FSI | — | 0.5430 | 30.77 | 7.52 | 4.19 | 2.97 | 2.15 | 1.58 | 1.20 | 1.00 | VSI | 0.0382 | 0.5430 | 14.45 | 1.62 | 0.61 | 0.34 | 0.22 | 0.16 | 0.12 | 0.10 | 0.2 | FSI | — | 0.8880 | 37.86 | 7.62 | 3.87 | 2.65 | 1.89 | 1.32 | 1.05 | 1.00 | VSI | 0.0763 | 0.8880 | 20.72 | 1.73 | 0.58 | 0.31 | 0.19 | 0.13 | 0.11 | 0.10 | 0.3 | FSI | — | 1.1838 | 45.53 | 8.33 | 3.85 | 2.52 | 1.74 | 1.20 | 1.02 | 1.00 | VSI | 0.1017 | 1.1838 | 27.37 | 1.95 | 0.57 | 0.29 | 0.18 | 0.12 | 0.10 | 0.10 | 0.4 | FSI | — | 1.4634 | 54.05 | 9.56 | 4.01 | 2.49 | 1.66 | 1.14 | 1.01 | 1.00 | VSI | 0.1258 | 1.4634 | 34.49 | 2.35 | 0.60 | 0.29 | 0.17 | 0.11 | 0.10 | 0.10 | 0.5 | FSI | — | 1.7343 | 61.15 | 11.14 | 4.31 | 2.52 | 1.61 | 1.11 | 1.01 | 1.00 | VSI | 0.1490 | 1.7343 | 41.50 | 2.99 | 0.65 | 0.29 | 0.16 | 0.11 | 0.10 | 0.10 | 0.75 | FSI | — | 2.4219 | 77.92 | 16.78 | 5.75 | 2.88 | 1.60 | 1.07 | 1.00 | 1.00 | VSI | 0.1892 | 2.4219 | 57.88 | 5.75 | 0.95 | 0.33 | 0.16 | 0.11 | 0.10 | 0.10 | 0.9 | FSI | — | 2.8575 | 86.06 | 21.02 | 7.14 | 3.33 | 1.66 | 1.07 | 1.00 | 1.00 | VSI | 0.2232 | 2.8575 | 67.28 | 8.38 | 1.37 | 0.40 | 0.17 | 0.11 | 0.10 | 0.10 | 1.0 | FSI | — | 3.1667 | 91.00 | 24.05 | 8.34 | 3.76 | 1.73 | 1.07 | 1.00 | 1.00 | VSI | 0.2474 | 3.1667 | 72.25 | 10.53 | 1.82 | 0.48 | 0.18 | 0.11 | 0.10 | 0.10 |
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