Table 6 ARLs of EEWMA-REMA control chart \({ARL}_{0}=370, n=5,{\lambda }_{1}=0.1,{\lambda }_{2}=0.03\).
From: Design of moving average chart and auxiliary information based chart using extended EWMA
\(k=4.154\) | \(k=5.018\) | \(k=6.384\) | ||||
|---|---|---|---|---|---|---|
\(z=3\) | \(z=5\) | \(z=10\) | ||||
\(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | |
c | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) |
0 | 370.11 (382.29) | 369.95 (380.77) | 370.12 (387.24) | 369.87 (374.16) | 370.09 (414.62) | 370.10 (411.99) |
0.03 | 260.36 (264.17) | 144.80 (142.63) | 269.22 (282.4) | 140.56 (142.53) | 258.25 (289.09) | 139.45 (151.07) |
0.04 | 212.97 (216.03) | 100.58 (97.52) | 217.79 (220.79) | 96.55 (95.78) | 207.81 (225.4) | 93.04 (95.14) |
0.05 | 172.87 (174.17) | 71.36 (66.38) | 175.77 (183.75) | 68.18 (64.33) | 165.28 (178.23) | 66.03 (65.56) |
0.06 | 144.57 (145.65) | 51.74 (46.12) | 144.83 (147.82) | 51.21 (44.82) | 134.62 (145.8) | 46.98 (46.2) |
0.07 | 115.56 (114.42) | 40.23 (35.1) | 117.99 (120.08) | 38.91 (36.32) | 112.11 (119.75) | 37.04 (35.02) |
0.08 | 95.90 (92.38) | 32.14 (26.93) | 95.93 (94.04) | 30.82 (27.92) | 90.79 (96.18) | 28.42 (25.94) |
0.09 | 82.20 (77.93) | 26.18 (20.93) | 79.96 (77.96) | 24.95 (20.64) | 76.95 (78.02) | 23.81 (21.15) |
0.10 | 69.85 (64.54) | 21.78 (16.86) | 69.98 (67.98) | 20.86 (18.77) | 64.31 (63.56) | 19.26 (16.68) |
0.12 | 51.04 (45.9) | 15.96 (11.95) | 50.02 (46.03) | 15.23 (12.9) | 47.45 (45.73) | 14.11 (12.85) |
0.15 | 35.16 (29.48) | 11.01 (7.7) | 33.59 (29.1) | 10.34 (7.04) | 32.02 (29.79) | 9.77 (6.43) |
0.17 | 28.11 (22.68) | 8.93 (6.11) | 27.39 (23.43) | 8.42 (6.38) | 25.17 (22.22) | 7.87 (6.19) |
0.20 | 21.11 (16.73) | 6.78 (4.5) | 20.90 (16.8) | 6.47 (4.44) | 19.06 (16.78) | 5.94 (4.67) |
0.22 | 18.25 (13.86) | 5.82 (3.74) | 17.63 (13.75) | 5.56 (3.6) | 16.16 (13.74) | 5.06 (3.95) |
0.25 | 14.42 (10.67) | 4.72 (3.01) | 14.43 (11.01) | 4.52 (3.03) | 12.90 (10.69) | 4.00 (3.11) |
1.00 | 1.66 (0.84) | 1.00 (0.06) | 1.54 (0.83) | 1.00 (0.05) | 1.36 (0.7) | 1.00 (0.03) |
2.00 | 1.00 (0.05) | 1.00 (0) | 1.00 (0.04) | 1.00 (0) | 1.00 (0.03) | 1.00 (0) |
