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OTE/SPH
OTE/SPH
Char Count= 0
August 31, 2006
JWBK119-23
3:8
Conclusions 367
Table 23.2 ARL comparisons (and standard deviations): SCC, λ LS, max and ¯ λ LS control charts.
Shift (δ)
φ Monitoring Control
technique limits 0.0 0.25 0.5 1.0 1.5 2.0 2.5 3.0
0.00 SCC* ±3.00 370.37 281.14 155.22 43.89 14.97 6.30 3.24 2.00
(369.87) (280.64) (154.72) (43.39) (14.46) (5.78) (2.70) (1.41)
SCC** ±3.00 373.37 296.29 162.69 43.59 14.75 6.52 3.41 2.04
(392.44) (287.51) (155.78) (41.87) (13.97) (5.80) (2.72) (1.36)
±3.41 372.76 96.37 31.43 9.87 5.08 3.26 2.38 1.83
λ LS, max
(380.16) (82.06) (21.91) (5.83) (2.71) (1.60) (1.09) (0.78)
¯ λ LS ±1.64 377.37 64.19 30.01 14.27 9.51 7.14 5.69 4.78
(397.93) (46.49) (17.57) (7.60) (4.74) (3.43) (2.67) (2.23)
0.25 SCC* ±3.00 370.37 311.61 206.03 75.42 29.04 12.24 5.60 2.85
(369.87) (311.23) (205.92) (75.78) (29.72) (12.98) (6.18) (3.09)
SCC** ±3.00 373.37 330.40 211.33 74.24 28.95 12.39 5.74 2.88
(392.44) (327.35) (198.39) (71.76) (29.56) (12.70) (6.08) (2.94)
λ LS, max ±3.44 382.00 137.41 46.65 14.49 7.20 4.32 2.90 2.03
(393.14) (124.29) (34.43) (9.34) (4.31) (2.57) (1.65) (1.11)
±1.63 374.80 85.80 39.66 18.37 12.02 8.98 7.03 5.88
¯ λ LS
(396.26) (68.30) (25.65) (10.24) (6.40) (4.60) (3.53) (2.86)
0.50 SCC* ±3.00 370.37 335.30 258.42 123.82 55.47 24.22 10.12 4.14
(369.87) (335.09) (258.96) (126.39) (59.92) (29.43) (14.59) (6.95)
SCC** ±3.00 373.37 346.64 270.35 115.34 53.74 22.10 9.99 4.29
(392.44) (362.38) (259.48) (117.55) (57.58) (26.85) (13.47) (7.04)
±3.46 381.91 189.13 72.31 22.62 10.68 5.86 3.46 2.12
λ LS, max
(397.66) (185.13) (60.71) (16.16) (7.39) (4.22) (2.64) (1.63)
¯ λ LS ±1.61 378.32 123.88 54.01 24.81 15.87 11.53 9.00 7.42
(398.68) (111.13) (37.46) (14.82) (8.91) (6.42) (4.96) (4.04)
0.75 SCC* ±3.00 370.37 354.04 311.22 197.73 101.17 40.24 11.90 3.01
(369.87) (354.22) (313.63) (210.21) (126.48) (68.55) (31.01) (11.11)
SCC** ±3.00 373.37 360.10 327.89 198.11 92.75 38.31 11.57 3.04
(392.44) (376.34) (330.31) (200.55) (114.22) (62.92) (30.81) (11.27)
±3.46 376.78 248.75 122.06 39.56 16.53 7.25 3.06 1.46
λ LS, max
(387.93) (254.92) (113.85) (32.90) (15.07) (7.83) (3.97) (1.62)
¯ λ LS ±1.50 378.08 185.39 86.39 38.91 23.88 17.29 13.14 10.50
(398.63) (184.40) (70.59) (25.95) (15.14) (10.69) (8.12) (6.51)
0.90 SCC* ±3.00 370.37 362.63 337.59 223.30 76.44 10.68 1.40 1.00
(369.87) (363.96) (347.04) (283.60) (169.64) (56.90) (10.09) (0.97)
SCC** ±3.00 373.37 368.81 342.69 228.97 82.71 9.55 1.49 1.00
(392.44) (389.68) (373.67) (295.99) (176.87) (46.05) (10.65) (0.00)
λ LS, max ±3.43 374.23 298.85 183.82 60.70 15.54 2.63 1.08 1.00
(407.55) (334.26) (195.79) (70.40) (26.24) (6.65) (1.03) (0.01)
±1.14 381.08 268.98 150.95 65.52 38.99 26.84 20.05 14.85
¯ λ LS
(405.41) (278.72) (146.98) (52.24) (28.76) (19.92) (14.87) (11.57)
*Calculated using the program of Wardell et al. 2
**Calculated using Monte Carlo simulation.