Table 7 The OOC RL characteristics values (the first row contains ARL, 2nd row contain SDRL, and 3rd row contains MDRL values) of the EWMA-SR(E-SR), HWMA-SR(H-RS), Auxiliary HWMA-SR, and proposed repetitive charts (EWMA-SR*, HWMA-SR*, and Auxiliary HWMA-SR) for, n=10, \(ARL_0= 500\) and different values of shift plus designed parameters.
\(\omega\) | \(\delta\) | Classical Charts | Auxiliary HWMA-SR | Auxiliary HWMA-SR Repetitive | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Â | \(\rho\) | \(\rho\) | |||||||||||
E-SR | H-SR | 0.05 | 0.25 | 0.5 | 0.75 | 0.05 | 0.25 | 0.5 | 0.75 | ||||
0.03 | 0.1 | 59.6 | 44.8 | 29.5 | 13.2 | 36.4 | 33.9 | 27.7 | 25.3 | 11.2 | 10.9 | 9.8 | 9.7 |
40.3 | 29.5 | 22.3 | 11.6 | 18 | 29.6 | 21.6 | 23.6 | 10.8 | 18.5 | 7.6 | 9.1 | ||
49 | 44 | 23 | 11.5 | 27 | 30 | 18.5 | 13 | 9 | 4 | 7.5 | 7 | ||
0.5 | 8.5 | 3.7 | 3.7 | 1.3 | 3.1 | 2.9 | 2.6 | 2.1 | 1.2 | 1.2 | 1.1 | 1.1 | |
1.9 | 1.8 | 1.2 | 0.6 | 1.9 | 1.4 | 1.6 | 1.7 | 0.6 | 0.6 | 0.8 | 0.8 | ||
8 | 3 | 4 | 1 | 3 | 2.8 | 2.5 | 1 | 1 | 1 | 1 | 1 | ||
1.0 | 5.2 | 1.5 | 2.2 | 1 | 1.6 | 1.5 | 1.2 | 1 | 1 | 1 | 1 | 1 | |
0.5 | 0.8 | 0.4 | 0 | 0.9 | 0.7 | 0.6 | 0 | 0 | 0 | 0 | 0 | ||
5 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
3.0 | 4 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
4 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
0.05 | 0.1 | 64.1 | 48.5 | 50.1 | 15.4 | 45 | 40.2 | 38.7 | 36.7 | 12.9 | 11.8 | 11.6 | 10.9 |
48.5 | 30.7 | 37.9 | 18.4 | 41.7 | 29.1 | 31.6 | 48.7 | 9.9 | 11.2 | 9.6 | 10.2 | ||
49 | 45 | 39 | 10 | 38.5 | 36.5 | 23 | 15 | 11 | 7.5 | 9 | 9 | ||
0.5 | 7.6 | 4.1 | 5 | 1.6 | 4.8 | 4.3 | 3.3 | 3.2 | 1.8 | 1.5 | 1.4 | 1.3 | |
1.9 | 1.9 | 1.4 | 1.3 | 1.8 | 2.3 | 1.5 | 1.3 | 1.4 | 0.8 | 0.6 | 0.8 | ||
5 | 4 | 5 | 1 | 4.5 | 4.2 | 3 | 3 | 1 | 1 | 1 | 1 | ||
1.0 | 4.4 | 1.8 | 3.1 | 1.5 | 2.1 | 1.9 | 1.8 | 1.5 | 1 | 1 | 1 | 1 | |
0.6 | 0.9 | 0.4 | 0.3 | 0.9 | 0.9 | 1.0 | 0.8 | 0 | 0 | 0 | 0 | ||
4 | 1 | 3 | 1 | 2 | 1.5 | 1 | 1 | 1 | 1 | 1 | 1 | ||
3.0 | 4 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
4 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
0.10 | 0.1 | 78.2 | 52.1 | 64.8 | 17.9 | 52.1 | 44.5 | 39.5 | 36.3 | 13.0 | 12.7 | 12.2 | 11.5 |
65.0 | 32.9 | 56.9 | 12.6 | 48.2 | 28.0 | 25.4 | 30.5 | 12.8 | 12.4 | 12.7 | 9.9 | ||
60.0 | 47.5 | 47.0 | 16.0 | 39.0 | 40.0 | 30.5 | 26.0 | 8.0 | 8.5 | 7.5 | 10.5 | ||
0.5 | 6.6 | 4.8 | 4.2 | 1.8 | 5.0 | 4.1 | 3.6 | 3.5 | 2.0 | 1.6 | 1.5 | 1.3 | |
2.1 | 2.1 | 1.4 | 0.8 | 2.8 | 1.3 | 1.8 | 1.6 | 1.7 | 1.0 | 1.0 | 0.6 | ||
6 | 4 | 4 | 1 | 4.5 | 3.5 | 3.5 | 3.5 | 1.0 | 1.0 | 1.0 | 1.0 | ||
1.0 | 4.1 | 2.1 | 2.3 | 1.0 | 2.7 | 1.9 | 1.7 | 1.4 | 1.0 | 1.0 | 1.0 | 1.0 | |
0.5 | 0.9 | 0.5 | 0 | 0.6 | 0.9 | 0.8 | 0.6 | 0 | 0 | 0 | 0 | ||
4.0 | 2.0 | 2.0 | 1.0 | 2.0 | 1.5 | 1.5 | 1.0 | 1.0 | 1.0 | 1.0 | 1.0 | ||
3.0 | 3 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
3 | 1 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
0.2 | 0.1 | 116.1 | 52.9 | 92.1 | 21.3 | 70.5 | 53.1 | 44.7 | 40.5 | 20.7 | 19.3 | 17.2 | 15.1 |
111.6 | 35.3 | 86.7 | 15.2 | 46.3 | 50.1 | 18.1 | 37.1 | 16.2 | 14.8 | 12.8 | 16.9 | ||
82.0 | 46.5 | 63.5 | 17.5 | 58.5 | 37.5 | 43.5 | 33.5 | 17.0 | 14.0 | 15.0 | 9.5 | ||
0.5 | 5.8 | 4.7 | 3.1 | 1.2 | 6.1 | 5.2 | 5.0 | 4.8 | 2.3 | 2.0 | 1.6 | 1.2 | |
3.0 | 1.9 | 1.2 | 0.4 | 3.2 | 2.1 | 1.8 | 2.2 | 1.3 | 1.9 | 0.8 | 0.6 | ||
5.0 | 4.0 | 3.0 | 1.0 | 5.5 | 5.0 | 5.0 | 4.5 | 2.0 | 1.0 | 1.0 | 1.0 | ||
1.0 | 3.1 | 2.2 | 1.7 | 1.0 | 2.7 | 2.0 | 2.0 | 2.0 | 1.1 | 1.1 | 1.1 | 1.0 | |
0.5 | 0.7 | 0.5 | 0 | 0.5 | 0.4 | 0.4 | 0.3 | 0.3 | 0.3 | 0.3 | 0 | ||
3.0 | 2.0 | 2.0 | 1.0 | 2.0 | 2.0 | 2.0 | 2.0 | 1 | 1 | 1 | 1 | ||
3.0 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ||
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | ||
