Table 2 Using covariate model, Run-length results of IACUSUM chart in the presence of ME with different values of B.
From: Improved adaptive CUSUM control chart for industrial process monitoring under measurement error
\(\delta_{\min }^{ + }\) = 0.5 and \(\lambda\) = 0.10 | \(\delta_{\min }^{ + }\) = 1 and \(\lambda\) = 0.10 | |||||||
|---|---|---|---|---|---|---|---|---|
\(\frac{{\sigma_{m}^{2} }}{{\sigma^{2} }}\) = 0 | B = 2 | B = 3 | B = 4 | \(\frac{{\sigma_{m}^{2} }}{{\sigma^{2} }}\) = 0 | B = 2 | B = 3 | B = 4 | |
ARL (SDRL) | ARL (SDRL) | ARL (SDRL) | ARL (SDRL) | ARL (SDRL) | ARL (SDRL) | ARL (SDRL) | ARL (SDRL) | |
0.0 | 370.19 (394.84) | 370.59 (382.75) | 369.85 (368.3) | 369.95 (361.01) | 370.99 (372.51) | 370.3 (395.78) | 370.24 (360.95) | 369.58 (378.96) |
0.10 | 225.22 (231.29) | 298.24 (293.01) | 331.25 (321.6) | 347.5 (322.74) | 278.05 (275.81) | 325.94 (333.16) | 319.99 (332.17) | 347.55 (349.48) |
0.20 | 101.54 (98.12) | 187.52 (178.41) | 246.19 (226.75) | 278.8 (251.7) | 156.46 (154.3) | 227.18 (227.18) | 257.45 (263.27) | 294.93 (294.94) |
0.30 | 52.8 (47.71) | 119.30 (104.88) | 176.99 (154.05) | 225.42 (198.85) | 85.22 (81.73) | 151.79 (154) | 192.29 (190.84) | 236.42 (229.68) |
0.40 | 31.44 (26.07) | 81.51 (66.24) | 132.24 (106.46) | 176.74 (147.53) | 50.55 (46.06) | 101.26 (98.2) | 142.69 (140.09) | 185.76 (175.21) |
0.50 | 21.64 (16.64) | 60.9 (46.13) | 102.08 (76.82) | 140.03 (109.95) | 32.18 (27.77) | 70.2 (65.75) | 108.25 (101.45) | 148.1 (135.01) |
0.60 | 16.00 (11.55) | 46.36 (34.47) | 82.4 (60.37) | 116.63 (88.78) | 22.21 (17.8) | 52.95 (47.75) | 84.89 (77.67) | 118.34 (102.44) |
0.70 | 12.46 (8.59) | 37.38 (26.29) | 67.28 (46.31) | 96.26 (68.05) | 16.42 (12.37) | 40.57 (35.22) | 68.08 (59.46) | 96.03 (81.24) |
0.80 | 9.95 (6.60) | 30.88 (21.38) | 57.46 (38.8) | 83.84 (57.29) | 12.77 (8.93) | 31.65 (26.37) | 54.95 (46.54) | 81.49 (66.18) |
0.90 | 8.30 (5.28) | 26.19 (17.33) | 49.61 (32.17) | 72.01 (48.15) | 10.31 (6.93) | 26.04 (20.61) | 46.43 (37.68) | 69.75 (54.89) |
1.0 | 7.01 (4.29) | 22.23 (14.21) | 42.66 (26.73) | 64.23 (41.22) | 8.56 (5.43) | 21.83 (16.6) | 38.71 (30.7) | 60.01 (46.15) |
1.5 | 3.82 (2.10) | 12.19 (7.23) | 24.36 (14.41) | 37.84 (22.31) | 4.32 (2.36) | 11.13 (7.44) | 20.87 (14.76) | 33.91 (23.85) |
2 | 2.53 (1.26) | 7.83 (4.54) | 16.2 (9.32) | 25.98 (14.8) | 2.80 (1.37) | 7.07 (4.33) | 13.33 (8.64) | 22.17 (14.44) |
2.5 | 1.87 (0.86) | 5.60 (3.10) | 11.55 (6.52) | 18.84 (10.62) | 2.05 (0.93) | 5.0 (2.86) | 9.46 (5.99) | 16.07 (10.11) |
3 | 1.48 (0.26) | 4.26 (2.23) | 8.76 (4.82) | 14.41 (7.96) | 1.61 (0.68) | 3.81 (2.11) | 7.22 (4.34) | 12.21 (7.41) |
