Table 1 \(AR{L}_{1}\) values for SS and DS-Weibull charts when \(n=20\) and \({r}_{0} = 200\).
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 | 200.08 | 8.50 | 18.50 | 24.50 | 11.00 | 20.00 | 12.91 | 200.12 | 200.12 | − 0.02 |
0.9 | 147.40 | 8.50 | 21.50 | 33.50 | 12.00 | 32.00 | 18.55 | 206.58 | 52.68 | 64.26 |
0.8 | 60.97 | 8.50 | 21.50 | 31.50 | 12.00 | 29.00 | 17.43 | 203.12 | 16.62 | 72.74 |
0.7 | 22.43 | 11.50 | 25.50 | 33.50 | 16.00 | 28.00 | 19.67 | 201.40 | 5.11 | 77.22 |
0.6 | 8.40 | 11.50 | 24.50 | 33.50 | 16.00 | 28.00 | 19.67 | 201.40 | 2.16 | 74.34 |
0.5 | 3.42 | 11.50 | 27.50 | 33.50 | 16.00 | 28.00 | 19.67 | 201.40 | 1.27 | 63.01 |
0.4 | 1.66 | 11.50 | 27.50 | 33.50 | 16.00 | 28.00 | 19.67 | 201.40 | 1.03 | 37.67 |
0.3 | 1.10 | 9.50 | 25.50 | 30.50 | 14.00 | 25.00 | 19.82 | 254.60 | 1.00 | 9.01 |
0.2 | 1.00 | 8.50 | 22.50 | 28.50 | 13.00 | 23.00 | 19.95 | 263.13 | 1.00 | 0.00 |
0.1 | 1.00 | 6.50 | 21.50 | 23.50 | 11.00 | 18.00 | 19.65 | 221.53 | 1.00 | 0.00 |
