Research Article
Performance of Synthetic Double Sampling Chart with Estimated Parameters Based on Expected Average Run Length
Table 2
Optimal charting parameters
and the corresponding
for
with different combinations of
when
.
| | | | | | | | | | 30 | 50 | 80 | 200 | 500 | |
| 3 | 0.2 | 2 | 6 | 1.3830 | 5.2804 | 2.4572 | 68 | 247.22 | 168.88 | 136.75 | 110.56 | 101.56 | 96.01 | 0.5 | 2 | 6 | 1.3830 | 5.2804 | 2.1867 | 18 | 16.68 | 13.35 | 12.03 | 10.99 | 10.63 | 10.41 | 0.9 | 2 | 6 | 1.3830 | 5.2804 | 1.9945 | 8 | 2.83 | 2.72 | 2.67 | 2.62 | 2.60 | 2.59 | 1.2 | 2 | 4 | 1.1503 | 5.0443 | 2.0178 | 4 | 1.64 | 1.62 | 1.60 | 1.59 | 1.58 | 1.58 | 1.5 | 2 | 3 | 0.9674 | 4.9920 | 2.0523 | 3 | 1.24 | 1.23 | 1.23 | 1.22 | 1.22 | 1.22 | 1.9 | 2 | 3 | 0.9674 | 4.9920 | 2.0523 | 3 | 1.06 | 1.06 | 1.06 | 1.05 | 1.05 | 1.05 |
| 4 | 0.2 | 3 | 8 | 1.5341 | 5.1956 | 2.3954 | 60 | 149.45 | 113.15 | 95.73 | 80.45 | 75.01 | 71.62 | 0.5 | 3 | 8 | 1.5341 | 5.1956 | 2.0910 | 15 | 9.65 | 8.45 | 7.93 | 7.49 | 7.33 | 7.23 | 0.9 | 3 | 6 | 1.3830 | 5.2804 | 2.0153 | 6 | 2.12 | 2.07 | 2.04 | 2.02 | 2.01 | 2.00 | 1.2 | 3 | 4 | 1.1503 | 5.0443 | 2.0185 | 3 | 1.34 | 1.33 | 1.32 | 1.32 | 1.32 | 1.31 | 1.5 | 3 | 3 | 0.9674 | 4.9920 | 2.0086 | 2 | 1.10 | 1.10 | 1.10 | 1.09 | 1.09 | 1.09 | 1.9 | 3 | 3 | 0.9674 | 4.9920 | 2.0086 | 2 | 1.01 | 1.01 | 1.01 | 1.01 | 1.01 | 1.01 |
| 5 | 0.2 | 4 | 10 | 1.6449 | 5.1247 | 2.3394 | 55 | 108.31 | 84.83 | 73.06 | 62.63 | 58.92 | 56.60 | 0.5 | 3 | 10 | 1.2816 | 5.1041 | 2.1216 | 12 | 6.64 | 6.05 | 5.78 | 5.54 | 5.46 | 5.40 | 0.9 | 3 | 8 | 1.1503 | 5.0443 | 2.0186 | 5 | 1.73 | 1.71 | 1.69 | 1.68 | 1.68 | 1.67 | 1.2 | 4 | 4 | 1.1503 | 5.0443 | 2.0615 | 3 | 1.20 | 1.19 | 1.19 | 1.18 | 1.18 | 1.18 | 1.5 | 4 | 4 | 1.1503 | 5.0443 | 1.9647 | 2 | 1.05 | 1.04 | 1.04 | 1.04 | 1.04 | 1.04 | 1.9 | 4 | 3 | 0.9674 | 4.9920 | 2.0363 | 2 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
| 6 | 0.2 | 4 | 12 | 1.3830 | 5.2804 | 2.3744 | 44 | 84.09 | 66.77 | 58.05 | 50.35 | 47.62 | 45.91 | 0.5 | 4 | 12 | 1.3830 | 5.2804 | 2.0727 | 11 | 5.02 | 4.69 | 4.54 | 4.40 | 4.35 | 4.32 | 0.9 | 4 | 8 | 1.1503 | 5.0443 | 2.0178 | 4 | 1.50 | 1.48 | 1.47 | 1.46 | 1.46 | 1.46 | 1.2 | 5 | 5 | 1.2816 | 5.1041 | 2.0235 | 3 | 1.12 | 1.11 | 1.11 | 1.11 | 1.11 | 1.11 | 1.5 | 5 | 4 | 1.1503 | 5.0443 | 1.9954 | 2 | 1.02 | 1.02 | 1.02 | 1.02 | 1.02 | 1.02 | 1.9 | 5 | 3 | 0.9674 | 4.9920 | 2.0527 | 2 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
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