Table 4 \(AR{L}_{1}\) values for SS and DS-Weibull charts when \(n=30\) 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 | 370.05 | 17.50 | 30.50 | 30.50 | 21.00 | 34.02 | 21.09 | 370.16 | 370.16 | − 0.03 |
0.9 | 244.67 | 14.50 | 29.50 | 36.50 | 20.00 | 35.02 | 21.61 | 375.34 | 86.65 | 64.59 |
0.8 | 74.29 | 13.50 | 28.50 | 37.50 | 20.00 | 36.02 | 23.92 | 387.54 | 20.42 | 72.51 |
0.7 | 21.20 | 10.50 | 25.50 | 37.50 | 16.00 | 37.02 | 22.77 | 383.15 | 5.78 | 72.73 |
0.6 | 6.58 | 12.50 | 28.50 | 37.50 | 19.00 | 38.02 | 24.39 | 372.24 | 2.14 | 67.52 |
0.5 | 2.46 | 10.50 | 26.50 | 37.50 | 16.00 | 39.02 | 22.77 | 383.15 | 1.23 | 50.00 |
0.4 | 1.28 | 9.50 | 25.50 | 36.50 | 16.00 | 40.02 | 27.89 | 449.81 | 1.02 | 20.67 |
0.3 | 1.01 | 12.50 | 28.50 | 36.50 | 20.00 | 41.02 | 27.15 | 450.89 | 1.00 | 0.99 |
0.2 | 1.00 | 12.50 | 28.50 | 34.50 | 21.00 | 42.02 | 29.37 | 420.48 | 1.00 | 0.00 |
0.1 | 1.00 | 11.50 | 27.50 | 32.50 | 20.00 | 43.02 | 29.38 | 403.99 | 1.00 | 0.00 |
