Table 1 Results of the AEWMA chart for ARL0 = 370, \(\:\psi\:\) = 0.15, and L = 0.1689.
From: A novel EWMA-based adaptive control chart for industrial application by using hastings approximation
λ | Shape parameter (k) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
0.25 | 0.50 | 1.00 | 1.50 | 2.00 | ||||||
ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | |
1.00 | 370.61 | 357.13 | 370.31 | 357.64 | 369.59 | 354.82 | 369.59 | 354.82 | 370.34 | 357.20 |
0.98 | 174.16 | 155.85 | 247.73 | 231.49 | 320.35 | 307.51 | 320.35 | 307.51 | 324.67 | 310.67 |
0.95 | 80.72 | 66.79 | 134.83 | 117.87 | 229.71 | 214.41 | 229.71 | 214.41 | 247.87 | 231.68 |
0.90 | 44.32 | 35.41 | 72.83 | 59.54 | 139.74 | 121.81 | 139.74 | 121.81 | 156.51 | 138.42 |
0.80 | 26.48 | 20.94 | 38.45 | 30.66 | 71.59 | 58.57 | 71.59 | 58.57 | 80.35 | 66.37 |
0.70 | 20.75 | 16.39 | 27.49 | 21.85 | 46.35 | 37.09 | 46.35 | 37.09 | 51.98 | 41.74 |
0.60 | 17.92 | 14.06 | 22.10 | 17.52 | 33.82 | 26.80 | 33.82 | 26.80 | 37.35 | 29.64 |
0.50 | 16.25 | 12.77 | 19.06 | 15.06 | 26.76 | 21.37 | 26.76 | 21.37 | 28.95 | 23.01 |
0.40 | 15.21 | 11.82 | 17.01 | 13.31 | 22.00 | 17.36 | 22.00 | 17.36 | 23.37 | 18.46 |
0.30 | 14.52 | 11.23 | 15.68 | 12.18 | 18.77 | 14.78 | 18.77 | 14.78 | 19.73 | 15.49 |
0.20 | 13.93 | 10.77 | 14.57 | 11.37 | 16.39 | 12.81 | 16.39 | 12.81 | 16.84 | 13.25 |
0.10 | 13.54 | 10.41 | 13.80 | 10.70 | 14.61 | 11.31 | 14.61 | 11.31 | 14.80 | 11.56 |
0.05 | 13.31 | 10.28 | 13.44 | 10.34 | 13.64 | 10.56 | 13.79 | 10.65 | 13.93 | 10.76 |
0.02 | 13.28 | 10.27 | 13.33 | 10.24 | 13.35 | 10.29 | 13.36 | 10.31 | 13.52 | 10.43 |
0.01 | 13.26 | 10.25 | 13.19 | 10.12 | 13.30 | 10.24 | 13.25 | 10.22 | 13.34 | 10.31 |