Table 7 ARLs of EEWMA-REMA control chart when \({ARL}_{0}=370, n=5,{\lambda }_{1}=0.2,{\lambda }_{2}=0.07\).
From: Design of moving average chart and auxiliary information based chart using extended EWMA
\(k=4.1505\) | \(k=4.863\) | \(k=5.8378\) | ||||
|---|---|---|---|---|---|---|
\(z=3\) | \(z=5\) | \(z=10\) | ||||
\(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | |
c | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) |
0 | 370.22 (372.31) | 370.10 (375.66) | 369.89 (375.91) | 370.08 (373.64) | 369.95 (392.45) | 370.20 (396.16) |
0.03 | 294.63 (298.35) | 179.42 (182.5) | 290.22 (302.14) | 178.42 (181.65) | 270.15 (304.09) | 157.65 (171.84) |
0.04 | 249.65 (256.13) | 130.89 (127.94) | 244.86 (254.75) | 124.69 (122.9) | 232.60 (258.31) | 109.77 (119.81) |
0.05 | 218.99 (217.48) | 91.05 (88.34) | 205.21 (210.68) | 86.37 (85.12) | 191.24 (216.8) | 78.40 (84.81) |
0.06 | 182.29 (179.24) | 67.26 (64.69) | 173.87 (180.11) | 62.91 (62.8) | 157.32 (175.1) | 55.57 (57.85) |
0.07 | 148.78 (147.23) | 52.70 (48.85) | 142.21 (144.73) | 47.78 (45.47) | 124.27 (137.78) | 41.91 (43.88) |
0.08 | 124.95 (122.62) | 39.92 (34.88) | 123.69 (128.41) | 37.55 (33.75) | 107.92 (119.86) | 32.10 (32.25) |
0.09 | 105.61 (103.2) | 31.14 (27.5) | 100.31 (99.24) | 30.08 (27.29) | 89.42 (98.27) | 26.04 (25.24) |
0.10 | 90.21 (86.45) | 26.08 (22.31) | 84.53 (85.43) | 24.15 (21.32) | 75.08 (80.26) | 20.60 (19.52) |
0.12 | 65.46 (62.47) | 18.74 (14.09) | 62.43 (61.36) | 17.13 (14.66) | 54.72 (56.92) | 14.13 (12.89) |
0.15 | 43.40 (40.18) | 12.29 (8.98) | 41.41 (38.42) | 11.25 (8.88) | 35.90 (37.2) | 9.43 (8.57) |
0.17 | 35.37 (31.32) | 9.64 (6.78) | 32.61 (29.4) | 8.97 (7.08) | 28.10 (27.69) | 7.32 (6.5) |
0.20 | 26.28 (22.31) | 7.26 (4.74) | 24.01 (21.32) | 6.41 (5.06) | 20.22 (19.79) | 5.07 (4.8) |
0.22 | 21.24 (17.35) | 6.06 (4.13) | 20.05 (17.01) | 5.42 (4.15) | 17.01 (16.01) | 4.33 (3.88) |
0.25 | 16.99 (13.21) | 4.96 (3.24) | 15.81 (12.97) | 4.57 (3.16) | 13.25 (12.11) | 3.73 (3) |
1.00 | 1.68 (0.86) | 1.00 (0.07) | 1.51 (0.77) | 1.00 (0.05) | 1.29 (0.62) | 1.00 (0) |
2.00 | 1.00 (0.06) | 1.00 (0) | 1.00 (0.02) | 1.00 (0) | 1.00 (0) | 1.00 (0) |
