Mathematical Problems in Engineering

Research Article

Treating Measurement Errors in the Run Rule Schemes Integrated with Shewhart Chart

Table 3

Out-of-control when , , and for , , and .
12345
0.1(354.31, 1058)(349.25, 1042)(346.77, 1035)(345.30, 1031)(344.32, 1028)
0.3(260.93, 778)(236.60, 705)(225.90, 673)(219.88, 655)(216.03, 643)
0.5(165.86, 493)(137.66, 409)(126.51, 375)(120.54, 357)(116.82, 346)
0.7(102.57, 304)(79.62, 235)(71.20, 210)(66.84, 197)(64.17, 189)
1.0(52.03, 152)(37.82, 110)(32.98, 95)(30.55, 88)(29.10, 84)
1.5(20.12, 57)(13.98, 39)(12.03, 33)(11.09, 30)(10.53, 28)
2.0(9.71, 26)(6.81, 17)(5.93, 15)(5.51, 14)(5.26, 13)
0.1(325.81, 972)(313.07, 934)(307.03, 916)(303.51, 905)(301.21, 899)
0.3(158.23, 470)(130.34, 387)(119.40, 354)(113.57, 337)(109.95, 326)
0.5(69.82, 206)(52.03, 152)(45.79, 134)(42.63, 124)(40.71, 119)
0.7(33.77, 98)(23.88, 68)(20.63, 59)(19.03, 54)(18.08, 51)
1.0(13.98, 39)(9.71, 26)(8.38, 22)(7.74, 20)(7.36, 19)
1.5(5.19, 13)(3.85, 9)(3.46, 7)(3.27, 7)(3.16, 6)
2.0(3.01, 6)(2.50, 4)(2.36, 4)(2.29, 3)(2.26, 3)
0.1(301.21, 899)(283.15, 844)(274.83, 820)(270.05, 805)(266.95, 796)
0.3(109.95, 326)(86.08, 254)(77.23, 228)(72.63, 214)(69.82, 206)
0.5(40.71, 119)(29.10, 84)(25.22, 72)(23.30, 66)(22.15, 63)
0.7(18.08, 51)(12.54, 34)(10.80, 29)(9.96, 27)(9.46, 25)
1.0(7.36, 19)(5.26, 13)(4.63, 11)(4.33, 10)(4.15, 9)
1.5(3.16, 6)(2.59, 5)(2.43, 4)(2.36, 4)(2.31, 3)
2.0(2.26, 3)(2.09, 7)(2.05, 3)(2.04, 2)(2.03, 2)
0.1(279.77, 834)(258.01, 769)(248.23, 740)(242.68, 723)(239.10, 713)
0.3(82.34, 243)(62.38, 183)(55.24, 162)(51.59, 151)(49.38, 144)
0.5(27.43, 79)(19.22, 54)(16.57, 46)(15.26, 43)(14.49, 40)
0.7(11.79, 32)(8.21, 22)(7.11, 18)(6.59, 17)(6.28, 16)
1.0(4.99, 12)(3.72, 8)(3.35, 7)(3.17, 6)(3.07, 6)
1.5(2.52, 4)(2.22, 3)(2.15, 3)(2.11, 3)(2.10, 3)
2.0(2.07, 3)(2.02, 2)(2.01, 2)(2.01, 2)(2.00, 2)