Table 5 \(AR{L}_{1}\) values for SS and DS-Weibull charts when \(n=25\) and \({r}_{0} = 370\).
From: Optimized two-stage time-truncated control chart for Weibull distribution
Shift f | SS Weibull | DS Weibull | %Gain | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
\({{\text{ARL}}}_{1}\) | \({\text{WL}}\) | \({{\text{UCL}}}_{1}\) | \({{\text{UCL}}}_{2}\) | \({{\text{n}}}_{1}\) | \({{\text{n}}}_{2}\) | \({\text{ASN}}\) | \({{\text{ARL}}}_{0}\) | \({{\text{ARL}}}_{1}\) | ||
1.00 | 370.55 | 7.67 | 14.77 | 17.11 | 12.00 | 50.63 | 20.09 | 369.16 | 370.16 | 00.10 |
0.9 | 246.67 | 0.3172 | 16.37 | 23.71 | 12.00 | 43.72 | 20.61 | 355.47 | 86.65 | 64.87 |
0.8 | 72.29 | 0.1498 | 15.25 | 22.50 | 12.50 | 36.91 | 21.92 | 367.51 | 20.42 | 71.75266 |
0.7 | 23.20 | 0.2800 | 15.68 | 17.50 | 12.00 | 66.11 | 21.77 | 383.15 | 5.78 | 75.08621 |
0.6 | 16.58 | 11.42 | 16.63 | 20.38 | 12.76 | 50.33 | 21.39 | 371.14 | 2.14 | 87.09288 |
0.5 | 12.46 | 0.3124 | 14.80 | 16.42 | 12.51 | 27.44 | 22.77 | 383.15 | 1.23 | 90.12841 |
0.4 | 1.128 | 5.12 | 14.29 | 21.50 | 12.51 | 36.07 | 22.89 | 389.81 | 1.02 | 9.574468 |
0.3 | 1.11 | 2.51 | 12.88 | 22.72 | 12.53 | 49.20 | 22.15 | 401.22 | 1.00 | 9.90991 |
0.2 | 1.10 | 9.96 | 20.92 | 21.72 | 12.74 | 49.77 | 23.37 | 401.48 | 1.00 | 9.090909 |
0.1 | 1.00 | 0.8648 | 10.76 | 20.68 | 12.63 | 56.44 | 24.38 | 413.99 | 1.00 | 0 |
