Research Article
New One-Sided EWMA t Charts without and with Variable Sampling Intervals for Monitoring the Process Mean
Table 6
The out-of-control ATS1 profiles of the VSI and FSI upper-sided NEWMA t charts when ATS0 = 200 and n ∈ {5, 7}.
| n | λ | Chart | UWL+ | UCL+ | δ | 0.1 | 0.3 | 0.5 | 0.7 | 1.0 | 1.5 | 2 | 3 |
| 5 | 0.1 | FSI | — | 0.6811 | 56.71 | 14.41 | 7.45 | 5.04 | 3.46 | 2.38 | 1.90 | 1.43 | VSI | 0.0426 | 0.6811 | 33.54 | 3.97 | 1.44 | 0.76 | 0.40 | 0.24 | 0.19 | 0.14 | 0.2 | FSI | — | 1.1493 | 74.34 | 17.96 | 8.09 | 5.02 | 3.26 | 2.17 | 1.71 | 1.27 | VSI | 0.0808 | 1.1493 | 49.17 | 5.24 | 1.56 | 0.76 | 0.38 | 0.22 | 0.17 | 0.13 | 0.3 | FSI | — | 1.5763 | 87.67 | 23.31 | 9.66 | 5.52 | 3.33 | 2.10 | 1.63 | 1.19 | VSI | 0.1108 | 1.5763 | 62.91 | 7.49 | 1.85 | 0.81 | 0.38 | 0.21 | 0.16 | 0.13 | 0.4 | FSI | — | 1.9932 | 98.38 | 29.40 | 12.02 | 6.41 | 3.56 | 2.10 | 1.58 | 1.15 | VSI | 0.1401 | 1.9932 | 74.42 | 10.85 | 2.36 | 0.92 | 0.40 | 0.21 | 0.16 | 0.12 | 0.5 | FSI | — | 2.4137 | 107.58 | 35.70 | 14.96 | 7.71 | 3.94 | 2.17 | 1.57 | 1.13 | VSI | 0.1509 | 2.4137 | 82.86 | 14.36 | 3.12 | 1.09 | 0.44 | 0.22 | 0.16 | 0.11 | 0.75 | FSI | — | 3.4872 | 120.81 | 49.60 | 22.90 | 11.88 | 5.60 | 2.52 | 1.63 | 1.11 | VSI | 0.2179 | 3.4872 | 101.44 | 25.44 | 6.58 | 2.06 | 0.64 | 0.25 | 0.16 | 0.11 | 0.9 | FSI | — | 4.1474 | 126.47 | 55.29 | 27.10 | 14.56 | 6.86 | 2.90 | 1.73 | 1.11 | VSI | 0.2430 | 4.1474 | 108.09 | 31.61 | 9.31 | 3.03 | 0.85 | 0.29 | 0.17 | 0.11 | 1.0 | FSI | — | 4.5961 | 129.07 | 58.35 | 29.23 | 16.17 | 7.75 | 3.19 | 1.82 | 0.12 | VSI | 0.2693 | 4.5961 | 111.20 | 35.64 | 11.53 | 3.95 | 1.05 | 0.32 | 0.18 | 0.11 |
| 7 | 0.1 | FSI | — | 0.5958 | 43.21 | 10.51 | 5.64 | 3.90 | 2.75 | 1.94 | 1.58 | 1.13 | VSI | 0.0419 | 0.5958 | 23.42 | 2.67 | 0.99 | 0.52 | 0.29 | 0.19 | 0.16 | 0.11 | 0.2 | FSI | — | 0.9854 | 54.50 | 11.74 | 5.58 | 3.63 | 2.47 | 1.72 | 1.36 | 1.04 | VSI | 0.0770 | 0.9854 | 33.68 | 3.06 | 0.98 | 0.49 | 0.27 | 0.17 | 0.14 | 0.10 | 0.3 | FSI | — | 1.3314 | 66.24 | 14.12 | 5.98 | 3.66 | 2.38 | 1.61 | 1.26 | 1.01 | VSI | 0.1040 | 1.3314 | 44.04 | 3.91 | 1.04 | 0.49 | 0.25 | 0.16 | 0.13 | 0.10 | 0.4 | FSI | — | 1.6610 | 76.68 | 17.23 | 6.79 | 3.87 | 2.36 | 1.54 | 1.20 | 1.01 | VSI | 0.1298 | 1.6610 | 54.22 | 5.31 | 1.20 | 0.51 | 0.25 | 0.15 | 0.12 | 0.10 | 0.5 | FSI | — | 1.9866 | 84.97 | 21.03 | 7.94 | 4.25 | 2.42 | 1.50 | 1.16 | 1.00 | VSI | 0.1552 | 1.9866 | 63.41 | 7.20 | 1.45 | 0.56 | 0.26 | 0.15 | 0.12 | 0.10 | 0.75 | FSI | — | 2.8192 | 101.69 | 31.24 | 12.04 | 5.88 | 2.84 | 1.50 | 1.13 | 1.00 | VSI | 0.1982 | 2.8192 | 81.41 | 13.70 | 2.75 | 0.83 | 0.30 | 0.15 | 0.11 | 0.10 | 0.9 | FSI | — | 3.3416 | 109.32 | 37.10 | 15.24 | 7.34 | 3.30 | 1.55 | 1.13 | 1.00 | VSI | 0.2350 | 3.3416 | 89.51 | 18.55 | 4.19 | 1.17 | 0.36 | 0.16 | 0.11 | 0.10 | 1.0 | FSI | — | 3.7043 | 112.28 | 40.68 | 17.30 | 8.44 | 3.70 | 1.61 | 1.13 | 1.00 | VSI | 0.2605 | 3.7043 | 94.52 | 22.02 | 5.44 | 1.54 | 0.42 | 0.16 | 0.11 | 0.10 |
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