Mathematical Problems in Engineering

Research Article

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

Table 2

Out-of-control when , , and for , , and .
12345
0.1(354.31, 1058)(345.30, 1031)(342.39, 1022)(341.20, 1018)(340.61, 1017)
0.3(260.93, 778)(219.88, 655)(208.67, 621)(204.34, 608)(202.26, 602)
0.5(165.86, 493)(120.54, 357)(109.95, 326)(106.04, 314)(104.20, 309)
0.7(102.57, 304)(66.84, 197)(59.35, 174)(56.66, 166)(55.41, 162)
1.0(52.03, 152)(30.55, 88)(26.51, 76)(25.10, 72)(24.45, 70)
1.5(20.12, 57)(11.09, 30)(9.56, 26)(9.04, 24)(8.80, 23)
2.0(9.71, 26)(5.51, 14)(4.84, 12)(4.61, 11)(4.51, 11)
0.1(325.81, 972)(303.51, 905)(296.69, 885)(293.95, 877)(292.62, 873)
0.3(158.23, 470)(113.57, 337)(103.27, 306)(99.48, 294)(99.69, 289)
0.5(69.82, 206)(42.63, 124)(37.29, 108)(35.41, 103)(34.53, 100)
0.7(33.77, 98)(19.03, 54)(16.40, 46)(15.49, 43)(15.08, 42)
1.0(13.98, 39)(7.74, 20)(6.71, 17)(6.37, 16)(6.21, 16)
1.5(5.19, 13)(3.27, 7)(2.98, 6)(2.88, 6)(2.84, 6)
2.0(3.01, 6)(2.29, 3)(2.20, 3)(2.17, 3)(2.16, 3)
0.1(301.21, 899)(270.05, 805)(260.93, 778)(257.33, 767)(255.58, 762)
0.3(109.95, 326)(72.63, 214)(64.70, 190)(61.85, 182)(60.52, 178)
0.5(40.71, 119)(23.30, 66)(20.12, 57)(19.02, 54)(18.51, 52)
0.7(18.08, 51)(9.96, 27)(8.59, 23)(8.13, 21)(7.92, 21)
1.0(7.36, 19)(4.33, 10)(3.85, 9)(3.69, 8)(3.62, 8)
1.5(3.16, 6)(2.36, 4)(2.25, 3)(2.21, 3)(2.20, 3)
2.0(2.26, 3)(2.04, 2)(2.02, 2)(2.02, 2)(2.01, 2)
0.1(279.77, 834)(242.68, 723)(232.21, 692)(228.13, 680)(226.16, 674)
0.3(82.34, 243)(51.59, 151)(45.39, 133)(43.19, 126)(42.17, 123)
0.5(27.43, 79)(15.26, 43)(13.14, 36)(12.41, 34)(12.08, 33)
0.7(11.79, 32)(6.59, 17)(5.74, 14)(5.46, 13)(5.33, 13)
1.0(4.99, 12)(3.17, 6)(2.90, 6)(2.81, 5)(2.77, 5)
1.5(2.52, 4)(2.11, 3)(2.07, 3)(2.06, 3)(2.05, 2)
2.0(2.07, 3)(2.01, 2)(2.00, 2)(2.00, 2)(2.00, 2)