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1、IntJAdvManufTechnol(2011)53:379–384DOI10.1007/s00170-010-2819-8ORIGINALARTICLEAspecialvariablesamplesizeandsamplinginterval2Hotelling’sTchartShashibhushanB.Mahadik&DigambarT.ShirkeReceived:19July2009/Accepted:28June2010/Publishedonline:24July2010#Springer-VerlagLondonLimited2010AbstractAmongthevari
2、ablesamplinginterval(VSI),Asthelocationofthecurrentsamplepointapproachesvariablesamplesize(VSS),andvariablesamplesizeandthecontrollimit(s),tightenthecontrolbytakingthe2samplinginterval(VSSI)Tchartsthatusetwovaluesofnextsamplequicklyand/orofincreasedsizeand/orby2eachadaptiveparameter,aVSITchartisthe
3、mostnarrowingthein-controlarea.efficientcharttodetectlargeshiftsintheprocessmean2Forthispurpose,thein-controlareaofthechartisvectorwhileaVSSITchartisthemostefficientoneto2partitionedintothesaferegionandoneormorewarningdetectsmallshifts.ThestatisticalperformanceoftheTregions.Eachregiondeterminesatri
4、pletofthevaluesofchartproposedinthispaperverycloselymatchesthatof2thedesignparameters,namely,thesamplinginterval,thesuchVSIandVSSITchartsfordetectingthelargeandsamplesize,andthecontrollimit(s)forthenextsampleifsmallshifts,respectively.Theproposedchartusestwothecurrentsamplepointfallsinit.valuesofth
5、esamplingintervalandthreevaluesoftheReynolds,Amin,Arnold,andNachlas[1]werethesamplesize.firsttointroducetheideaofanadaptivecontrolchart.Theyproposedavariablesamplinginterval(VSI)Xchart.KeywordsAdaptivecontrolchart.MultivariatestatisticalSubsequently,Prabhu,Runger,andKeats[2]andCostaprocesscontrol.S
6、teady-stateaveragetimetosignal.[3]independentlyproposedavariablesamplesize(VSS)MarkovchainXchart.Prabhu,Montgomery,andRunger[4]proposedavariablesamplesizeandsamplinginterval(VSSI)Xchart.Costa[5]proposedavariableparameter(VP)X1Introductionchart.Tagaras[6]providedanextensivesurveyoftheresearchworkint
7、hisareapublisheduntil1997.TheSincelate1980s,researchersinstatisticalprocesscontrolconceptionisfurtherinvestigatedwithdifferentperspec-haveproposedvarioustypesofadaptivecontrolcharts.tivesfortheXchartaswella
