Table 5 ARLs of EWMA-REMA control chart when \({ARL}_{0}=370, n=5,\lambda =0.30\).
From: Design of moving average chart and auxiliary information based chart using extended EWMA
\(k=4.205\) | \(k=4.779\) | \(k=5.344\) | ||||
|---|---|---|---|---|---|---|
\(z=3\) | \(z=5\) | \(z=10\) | ||||
\(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | \(\rho =0.50\) | \(\rho =0.90\) | |
c | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) | \(ARL\) \((SDRL)\) |
0 | 369.92 (376.32) | 370.01 (376.28) | 369.94 (394.5) | 370.18 (387.61) | 370.17 (447.07) | 370.14 (415.14) |
0.03 | 318.32 (319.36) | 221.62 (226.33) | 302.98 (324.6) | 218.87 (235.18) | 306.05 (362.41) | 188.24 (225.07) |
0.04 | 288.09 (289.08) | 170.12 (176.7) | 280.17 (301.12) | 159.01 (166.15) | 249.07 (294.03) | 129.24 (155.21) |
0.05 | 255.90 (260.07) | 124.49 (127.19) | 244.96 (265.83) | 119.35 (124.19) | 223.78 (265.2) | 94.29 (111.22) |
0.06 | 221.22 (219.48) | 97.36 (98.66) | 213.28 (225.1) | 87.09 (92.44) | 188.62 (228.23) | 66.89 (79.73) |
0.07 | 194.94 (197.77) | 73.13 (74.34) | 184.00 (197.26) | 66.16 (68.81) | 151.01 (183.1) | 48.61 (58.77) |
0.08 | 169.63 (173.74) | 56.68 (56.43) | 156.31 (163.33) | 51.54 (53.82) | 127.50 (153.25) | 37.05 (44.06) |
0.09 | 145.06 (149.06) | 44.73 (44.24) | 133.36 (141.93) | 39.82 (42.59) | 110.95 (133.12) | 29.08 (33.7) |
0.10 | 126.82 (129.83) | 35.99 (35.29) | 116.74 (123.04) | 31.45 (32.03) | 93.16 (108.8) | 23.21 (26.07) |
0.12 | 96.81 (98.67) | 24.16 (22.15) | 85.79 (90.59) | 21.60 (21.32) | 66.73 (78.74) | 15.42 (17.39) |
0.15 | 64.95 (63.95) | 14.48 (12.73) | 55.35 (57.16) | 13.10 (12.38) | 42.87 (50.8) | 9.23 (9.9) |
0.17 | 49.91 (49.15) | 11.27 (9.79) | 44.49 (46.47) | 9.69 (8.93) | 32.91 (38.18) | 7.04 (7.27) |
0.20 | 35.72 (34.11) | 7.97 (8.43) | 30.96 (31.79) | 7.00 (6.02) | 22.72 (26.6) | 4.96 (5.02) |
0.22 | 28.96 (28.18) | 6.52 (5.11) | 25.33 (25.45) | 5.71 (4.73) | 18.30 (20.75) | 4.13 (3.97) |
0.25 | 21.86 (20.3) | 5.06 (3.64) | 18.79 (18.75) | 4.38 (3.5) | 13.97 (15.45) | 3.28 (2.88) |
1.00 | 1.61 (0.85) | 1.00 (0.05) | 1.43 (0.72) | 1.00 (0.04) | 1.21 (0.51) | 1.00 (0.02) |
2.00 | 1.00 (0.06) | 1.00 (0) | 1.00 (0.03) | 1.00 (0) | 1.00 (0.01) | 1.00 (0) |
