Table 5 Sensitivity analysis of the proposed control chart at ARL0 ≈ 370 using n1 = 3 and n2 = 6.
From: Adaptive VSS-EWMA control chart for monitoring the process dispersion
Shift | VEWMA | FEWMA | VEWMA | FEWMA | VEWMA | FEWMA | ||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\lambda\)= 0.10 | \(\lambda\)= 0.10 | \(\lambda\)= 0.15 | \(\lambda\)= 0.15 | \(\lambda\)= 0.25 | \(\lambda\)= 0.25 | |||||||
ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | ARL | SDRL | |
0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 |
0.25 | 2.57 | 0.54 | 2.97 | 0.99 | 2.63 | 0.55 | 3.16 | 1.05 | 2.65 | 0.55 | 3.42 | 1.20 |
0.50 | 4.99 | 1.82 | 7.72 | 3.76 | 5.14 | 1.84 | 8.53 | 4.38 | 5.34 | 2.01 | 10.93 | 6.98 |
0.75 | 17.44 | 10.80 | 33.48 | 26.46 | 20.01 | 13.54 | 43.98 | 37.80 | 27.09 | 22.04 | 70.24 | 67.09 |
0.90 | 103.70 | 96.43 | 171.21 | 164.96 | 133.52 | 128.15 | 208.13 | 204.48 | 184.41 | 180.35 | 272.95 | 272.83 |
1.0 | 369.67 | 366.09 | 370.19 | 362.13 | 370.37 | 362.67 | 370.20 | 360.70 | 370.38 | 369.34 | 370.22 | 367.29 |
1.05 | 187.70 | 181.48 | 224.34 | 227.83 | 202.74 | 200.16 | 235.02 | 237.23 | 218.76 | 212.61 | 233.35 | 232.75 |
1.25 | 18.65 | 14.73 | 27.85 | 24.96 | 19.90 | 16.22 | 30.43 | 27.78 | 22.44 | 19.19 | 35.26 | 33.36 |
1.50 | 7.01 | 4.67 | 9.42 | 7.60 | 7.19 | 4.81 | 9.82 | 7.97 | 7.44 | 5.09 | 10.45 | 8.90 |
2.0 | 3.30 | 1.83 | 3.69 | 2.78 | 3.33 | 1.82 | 3.81 | 2.85 | 3.35 | 1.79 | 3.93 | 2.95 |
3.0 | 1.93 | 0.91 | 1.85 | 1.19 | 1.95 | 0.94 | 1.89 | 1.21 | 1.95 | 0.91 | 1.93 | 1.24 |