Table 6 \(AR{L}_{1}\) values for SS and DS-Weibull charts when \(n=35\) 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 | 5.21 | 15.96 | 21.85 | 12.50 | 60.32 | 31.04 | 369.16 | 370.88 | 0.02965 |
0.9 | 246.67 | 8.57 | 15.20 | 24.79 | 12.61 | 62.48 | 32.11 | 375.34 | 11.85 | 95.89497 |
0.8 | 72.29 | 6.23 | 20.38 | 24.78 | 12.62 | 48.34 | 33.12 | 387.54 | 20.42 | 71.75266 |
0.7 | 23.20 | 7.88 | 17.18 | 24.00 | 12.82 | 49.72 | 30.77 | 383.15 | 8.85 | 61.85345 |
0.6 | 16.58 | 2.42 | 12.91 | 13.81 | 12.51 | 56.82 | 31.19 | 372.24 | 6.68 | 59.71049 |
0.5 | 12.46 | 8.43 | 12.99 | 16.38 | 12.80 | 24.63 | 32.50 | 383.15 | 2.52 | 79.77528 |
0.4 | 1.128 | 12.21 | 25.23 | 25.42 | 12.54 | 59.84 | 33.55 | 449.81 | 1.02 | 9.574468 |
0.3 | 1.11 | 6.89 | 12.71 | 20.06 | 12.96 | 56.86 | 31.25 | 450.89 | 1.0066 | 9.315315 |
0.2 | 1.10 | 6.52 | 15.93 | 16.38 | 12.57 | 25.17 | 34.17 | 420.48 | 1.002 | 8.909091 |
0.1 | 1.00 | 0.54 | 15.54 | 28.26 | 12.54 | 54.62 | 34.76 | 403.99 | 1 | 0 |
