Table 3 \(AR{L}_{1}\) values for SS and DS-Weibull charts when \(n=30\) 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 | 203.40 | 14.50 | 25.50 | 31.50 | 17.00 | 34.02 | 17.20 | 200.75 | 200.75 | 1.30 |
0.9 | 144.28 | 11.50 | 27.50 | 37.50 | 17.00 | 35.02 | 22.99 | 204.94 | 49.42 | 65.75 |
0.8 | 47.34 | 15.50 | 31.50 | 35.50 | 22.00 | 36.02 | 24.36 | 204.86 | 14.23 | 69.95 |
0.7 | 14.59 | 11.50 | 26.50 | 37.50 | 17.00 | 37.02 | 22.99 | 204.94 | 4.29 | 70.58 |
0.6 | 4.96 | 11.50 | 26.50 | 37.50 | 17.00 | 38.02 | 22.99 | 204.94 | 1.85 | 62.66 |
0.5 | 2.06 | 11.50 | 27.50 | 36.50 | 18.00 | 39.02 | 26.20 | 236.14 | 1.16 | 43.69 |
0.4 | 1.19 | 9.50 | 25.50 | 36.50 | 16.00 | 40.02 | 29.56 | 228.41 | 1.01 | 15.13 |
0.3 | 1.00 | 11.50 | 27.50 | 35.50 | 19.00 | 41.02 | 29.18 | 303.31 | 1.00 | 0.00 |
0.2 | 1.00 | 10.50 | 25.50 | 32.50 | 18.00 | 42.02 | 29.00 | 216.10 | 1.00 | 0.00 |
0.1 | 1.00 | 11.50 | 27.50 | 30.50 | 20.00 | 43.02 | 29.32 | 214.47 | 1.00 | 0.00 |
