Table 2 ARLs of EEWMA-RE control chart when \({ARL}_{0}=370, n=5\).
From: Design of moving average chart and auxiliary information based chart using extended EWMA
\(\rho =0.50\) | \(\rho =0.90\) | |||||
|---|---|---|---|---|---|---|
\({\lambda }_{1}=0.1\) \({\lambda }_{2}=0.03\) | \({\lambda }_{1}=0.2\) \({\lambda }_{2}=0.07\) | \({\lambda }_{1}=0.3\) \({\lambda }_{2}=0.15\) | \({\lambda }_{1}=0.1\) \({\lambda }_{2}=0.03\) | \({\lambda }_{1}=0.2\) \({\lambda }_{2}=0.07\) | \({\lambda }_{1}=0.3\) \({\lambda }_{2}=0.15\) | |
k>>> | 2.719 | 2.887 | 2.956 | 2.719 | 2.887 | 5.902 |
C | \(ARL\) \((SDRL)\) | \(ARL (SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) |
0 | 370.11 (366.66) | 370.01 (369.59) | 369.97 (369.13) | 370.00 (369.18) | 370.12 (372.86) | 370.11 (367.84) |
0.03 | 271.80 (274.68) | 306.48 (307.46) | 314.06 (307.13) | 149.22 (144.11) | 190.55 (185.67) | 215.94 (211.98) |
0.04 | 227.85 (224.76) | 257.08 (246.54) | 279.52 (276.44) | 99.74 (93.64) | 137.48 (133.85) | 162.42 (158.02) |
0.05 | 184.12 (183.12) | 229.53 (224.48) | 249.60 (240.8) | 72.77 (67.57) | 100.37 (93.95) | 117.92 (109.22) |
0.06 | 152.42 (144.36) | 189.90 (187.93) | 212.97 (205.16) | 53.90 (47.04) | 73.43 (69) | 94.36 (86.16) |
0.07 | 121.39 (115.53) | 156.32 (152.36) | 182.39 (177.44) | 42.09 (35.9) | 56.04 (50.06) | 68.36 (63.41) |
0.08 | 102.61 (98.19) | 135.68 (133.7) | 163.47 (159.62) | 33.03 (26.96) | 45.09 (38.1) | 54.76 (48.54) |
0.09 | 88.36 (81.83) | 114.82 (108.9) | 136.74 (131.9) | 26.96 (21.1) | 36.56 (30.03) | 43.74 (36.82) |
0.10 | 70.80 (66.16) | 98.03 (96.6) | 120.90 (117.25) | 20.99 (17.13) | 29.03 (23.16) | 35.72 (31.21) |
0.12 | 54.01 (48.93) | 73.55 (67.3) | 88.23 (82.81) | 16.68 (11.16) | 21.17 (16.18) | 25.06 (20.21) |
0.15 | 36.90 (31.04) | 49.62 (43.69) | 60.62 (54.68) | 10.82 (5.2) | 13.19 (9.2) | 16.04 (11.11) |
0.17 | 29.14 (23.73) | 37.66 (33.13) | 47.71 (42.22) | 9.38 (5.97) | 11.09 (7.39) | 13.19 (8.14) |
0.20 | 21.99 (17.24) | 28.66 (23.05) | 36.45 (30.9) | 7.22 (4.5) | 8.21 (5.21) | 9.99 (6.17) |
0.22 | 19.01 (13.24) | 24.57 (19) | 28.74 (24.08) | 5.97 (3.19) | 7.10 (4.11) | 8.45 (4.95) |
0.25 | 15.14 (11.16) | 19.00 (14.15) | 22.89 (17.92) | 4.98 (2.92) | 5.81 (3.33) | 6.89 (3.77) |
1.00 | 1.76 (0.8) | 1.85 (0.86) | 1.92 (0.9) | 1.00 (0) | 1.01 (0.1) | 1.01 (0.11) |
2.00 | 1.00 (0.07) | 1.01 (0.09) | 1.01 (0.1) | 1.00 (0) | 1.00 (0) | 1.00 (0) |
