Table 6 The OOC run length characteristics of the proposed and existing charts for \(\beta =0.05 and n=10 at {ARL}_{o}\approx 500\) under \(Lap (0, 1/\sqrt{2}).\)
From: An enhanced nonparametric quality control chart with application related to industrial process
Control charts | Characteristics | δ | EQL | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
0.1 | 0.25 | 0.5 | 0.75 | 1 | 1.5 | 2 | 2.5 | 3 | |||
SEWMA with L = 2.613 | ARL | 59.3 | 15.3 | 6.7 | 4.4 | 3.3 | 2.3 | 2 | 1.7 | 1.1 | 5.64 |
SDRL | 44.2 | 6.6 | 1.9 | 1 | 0.6 | 0.4 | 0.1 | 0.5 | 0.3 | ||
MDRL | 47 | 14 | 6 | 4 | 3 | 2 | 2 | 2 | 1 | ||
SHWMA with L = 2.608 | ARL | 56.1 | 12.8 | 4.4 | 2.5 | 1.6 | 1 | 1 | 1 | 1 | 3.32 |
SDRL | 38.1 | 7.9 | 2.2 | 1.3 | 0.9 | 0.3 | 0 | 0 | 0 | ||
MDRL | 49 | 11 | 4 | 3 | 1 | 1 | 1 | 1 | 1 | ||
NPSN-E with L = 2.612 | ARL | 38 | 12.2 | 6.6 | 5 | 4.3 | 3.6 | 3.2 | 3.1 | 3 | 9.94 |
SDRL | 24.2 | 4.6 | 1.6 | 0.9 | 0.7 | 0.6 | 0.4 | 0.3 | 0.1 | ||
MDRL | 32 | 11 | 6 | 5 | 4 | 4 | 3 | 3 | 3 | ||
NPSR-E with L = 2.610 | ARL | 41.8 | 12.7 | 6.5 | 5 | 4.3 | 4 | 4 | 4 | 4 | 12.31 |
SDRL | 27.5 | 1.7 | 1.5 | 0.8 | 0.5 | 0.1 | 0 | 0 | 0 | ||
MDRL | 35 | 12 | 6 | 5 | 4 | 4 | 4 | 4 | 4 | ||
NPSR-H with T = 2.430 | ARL | 32.9 | 8.2 | 3.6 | 2.4 | 1.8 | 1.3 | 1.1 | 1 | 1 | 3.47 |
SDRL | 24.4 | 5 | 1.7 | 1.2 | 1 | 0.6 | 0.3 | 0.2 | 0.1 | ||
MDRL | 28 | 7 | 3 | 3 | 1 | 1 | 1 | 1 | 1 | ||
NPSR-DH with T = 1.38 | ARL | 10.9 | 3.9 | 1.9 | 1.3 | 1.1 | 1 | 1 | 1 | 1 | 3.09 |
SDRL | 13.3 | 3 | 1.3 | 0.8 | 0.4 | 0.1 | 0 | 0 | 0 | ||
MDRL | 6 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |