累積和控制圖參數(shù)選取方法.pdf

1、鄭州大學(xué)碩士學(xué)位論文累積和控制圖參數(shù)選取方法姓名：薛麗申請學(xué)位級別：碩士專業(yè)：運籌學(xué)與控制論指導(dǎo)教師：劉玉敏20070401ABSTRACTControlcharts，whichcontroltheproductionprocessconditionandguaranteetheprocessqualityaretheimportantstatisticsprocesscontroltoolsInordertoimprovethesen

2、sitivitythatcontrolchartsmonitorthesmallundulationoftheprocess，Pageproposedthecumulativesum(Cusum)controlchartsin1954TheCusumcontrolchartsaccumulatethesmallundulationoftheprocesstoachievethemagnificationeffect，thereforew

3、hentheprocesshasthesmallundulationitcallpromptlyfindoutthenenhancethemonitoringefficiencyofthecontrolchartsTheresearchoftheCusumcontrolchartsmainlyconcentrateonthreeaspects：consummatingthetheoryoftheCusumcontrolcharts；de

4、velopingtheapplicationoftheCnsumcontrolcharts；researchingthealgorithmrealizationtechnologyoftheCnsumcontrolchartsThedesignofthecontrolparameteristhekeyoftheCusumcontrolchartstheoryThispaperinvestigatesandanalyzesthedesig

5、nofK、HwhichistheparameteroftheCusumcontrolchartsInthispaperwefirstintroducethemathematicprincipleoftheCnsumcontrolchartsthatisthesequentiallikelihoodratiotestandtwomethodsofconstructingtheCusumcontrolcharts：theVmaskmetho

6、dandthelistmethodAndwegivetherelationsbetweentwogroupsofparametersK、Handd、0，whereKisthereferencevalue，Histhedeterminantdistance，diSthelcaddistance，0iSthehalfallgleofVmaskAndthenwe協(xié)Il【onhowtochooseparameterKandHaecordingt

7、othemathematictheoryoftheCusumWhat’Smore，wepreciselyprovetheselectionofparameterwhenthequalitycharacterizationsubjectstoNormaldistribution、Binomialdistribution、Exponentialdistribution、Poissondistribution，andgivetheirresu

8、ltsrespectivelyWealsolookonaverageamlength(ARL)asacriteriontotalkaboutparameterKandHselectionsummarizingtwomethodsofcalculatingARE：theclassicalintegralmethodandtheMarkovchainmethodWegivetheparameterselectionrulesonthebas