Research Article
One-Sided and Two-Sided w-of-w Runs-Rules Schemes: An Overall Performance Perspective and the Unified Run-Length Derivations
Table 3
The zero- and steady-state
ARL for the one-sided
w-of-w SRR
charts when
ARL0 = 370.4.
| | | | | Zero-state | Steady-state | | | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 2 | 3 | 4 | 5 | 6 | 7 |
| | | | 2.7822 | 1.6134 | 1.0509 | 0.6927 | 0.4348 | 0.2358 | 0.0752 | 1.6141 | 1.0520 | 0.6942 | 0.4367 | 0.2381 | 0.0778 |
| | 0 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | 370.4 | | 0.1 | 273.4 | 251.4 | 240.7 | 234.5 | 230.4 | 227.6 | 225.7 | 251.3 | 240.4 | 233.9 | 229.6 | 226.6 | 224.4 | | 0.2 | 203.7 | 173.9 | 160.7 | 153.5 | 149.0 | 146.1 | 144.3 | 173.7 | 160.2 | 152.7 | 148.0 | 144.8 | 142.7 | | 0.3 | 153.2 | 122.5 | 110.2 | 103.8 | 100.1 | 97.9 | 96.6 | 122.3 | 109.6 | 103.0 | 99.0 | 96.5 | 94.9 | | 0.4 | 116.2 | 87.9 | 77.5 | 72.5 | 69.7 | 68.2 | 67.5 | 87.7 | 76.9 | 71.6 | 68.6 | 66.9 | 65.8 | | 0.5 | 89.0 | 64.3 | 55.9 | 52.1 | 50.3 | 49.4 | 49.1 | 64.0 | 55.4 | 51.4 | 49.2 | 48.1 | 47.5 | | 0.6 | 68.7 | 47.8 | 41.3 | 38.6 | 37.5 | 37.1 | 37.1 | 47.6 | 40.8 | 37.9 | 36.5 | 35.8 | 35.6 | | 0.7 | 53.6 | 36.2 | 31.3 | 29.4 | 28.8 | 28.7 | 29.0 | 36.0 | 30.8 | 28.8 | 27.9 | 27.6 | 27.6 | | 0.8 | 42.1 | 27.9 | 24.2 | 23.0 | 22.7 | 22.9 | 23.4 | 27.7 | 23.8 | 22.4 | 21.9 | 21.9 | 22.1 | | 0.9 | 33.4 | 21.9 | 19.2 | 18.4 | 18.5 | 18.8 | 19.4 | 21.7 | 18.8 | 17.9 | 17.7 | 17.8 | 18.2 | | 1 | 26.8 | 17.4 | 15.5 | 15.1 | 15.3 | 15.8 | 16.5 | 17.3 | 15.1 | 14.6 | 14.6 | 14.9 | 15.3 | | 1.1 | 21.6 | 14.1 | 12.8 | 12.7 | 13.0 | 13.6 | 14.3 | 14.0 | 12.4 | 12.2 | 12.3 | 12.7 | 13.2 | | 1.2 | 17.6 | 11.6 | 10.7 | 10.8 | 11.3 | 12.0 | 12.7 | 11.5 | 10.4 | 10.3 | 10.6 | 11.1 | 11.7 | | 1.3 | 14.5 | 9.7 | 9.1 | 9.4 | 10.0 | 10.7 | 11.5 | 9.6 | 8.9 | 9.0 | 9.3 | 9.9 | 10.5 | | 1.4 | 12.0 | 8.2 | 7.9 | 8.3 | 9.0 | 9.7 | 10.5 | 8.1 | 7.7 | 7.9 | 8.3 | 8.9 | 9.5 | | 1.5 | 10.0 | 7.0 | 7.0 | 7.5 | 8.1 | 8.9 | 9.8 | 6.9 | 6.7 | 7.1 | 7.6 | 8.2 | 8.8 | | 1.6 | 8.4 | 6.1 | 6.2 | 6.8 | 7.5 | 8.3 | 9.2 | 6.0 | 6.0 | 6.4 | 6.9 | 7.6 | 8.2 | | 1.7 | 7.2 | 5.4 | 5.6 | 6.2 | 7.0 | 7.8 | 8.7 | 5.3 | 5.4 | 5.9 | 6.5 | 7.1 | 7.8 | | 1.8 | 6.1 | 4.8 | 5.1 | 5.8 | 6.6 | 7.5 | 8.4 | 4.7 | 4.9 | 5.4 | 6.1 | 6.7 | 7.4 | | 1.9 | 5.3 | 4.3 | 4.7 | 5.5 | 6.3 | 7.2 | 8.1 | 4.2 | 4.5 | 5.1 | 5.8 | 6.4 | 7.2 | | 2 | 4.6 | 3.9 | 4.4 | 5.2 | 6.0 | 6.9 | 7.8 | 3.8 | 4.2 | 4.8 | 5.5 | 6.2 | 6.9 | | 2.1 | 4.0 | 3.6 | 4.2 | 4.9 | 5.8 | 6.7 | 7.6 | 3.5 | 4.0 | 4.6 | 5.3 | 6.0 | 6.8 | | 2.2 | 3.6 | 3.3 | 3.9 | 4.8 | 5.6 | 6.6 | 7.5 | 3.2 | 3.8 | 4.4 | 5.1 | 5.9 | 6.6 | | 2.3 | 3.2 | 3.1 | 3.8 | 4.6 | 5.5 | 6.4 | 7.4 | 3.0 | 3.6 | 4.3 | 5.0 | 5.8 | 6.5 | | 2.4 | 2.8 | 2.9 | 3.6 | 4.5 | 5.4 | 6.3 | 7.3 | 2.8 | 3.4 | 4.2 | 4.9 | 5.7 | 6.4 | | 2.5 | 2.6 | 2.7 | 3.5 | 4.4 | 5.3 | 6.3 | 7.2 | 2.7 | 3.3 | 4.1 | 4.8 | 5.6 | 6.4 | | 2.6 | 2.3 | 2.6 | 3.4 | 4.3 | 5.2 | 6.2 | 7.2 | 2.6 | 3.2 | 4.0 | 4.8 | 5.5 | 6.3 | | 2.7 | 2.1 | 2.5 | 3.3 | 4.2 | 5.2 | 6.1 | 7.1 | 2.5 | 3.2 | 3.9 | 4.7 | 5.5 | 6.3 | | 2.8 | 2.0 | 2.4 | 3.3 | 4.2 | 5.1 | 6.1 | 7.1 | 2.4 | 3.1 | 3.9 | 4.7 | 5.4 | 6.2 | | 2.9 | 1.8 | 2.3 | 3.2 | 4.1 | 5.1 | 6.1 | 7.1 | 2.3 | 3.0 | 3.8 | 4.6 | 5.4 | 6.2 | | 3 | 1.7 | 2.3 | 3.2 | 4.1 | 5.1 | 6.1 | 7.0 | 2.2 | 3.0 | 3.8 | 4.6 | 5.4 | 6.2 |
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