Dwelling time probability density distribution of instances in a workflow model

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1、Computers&IndustrialEngineering57(2009)874–879ContentslistsavailableatScienceDirectComputers&IndustrialEngineeringjournalhomepage:www.elsevier.com/locate/caieDwellingtimeprobabilitydensitydistributionofinstancesinaworkflowmodela,*abLiuSheng,FanYushun,

2、LinHuipingaCIMSCenter,DepartmentofAutomation,TsinghuaUniversity,Beijing,ChinabSchoolofSoftwareandMicroelectronic,PekingUniversity,Beijing,ChinaarticleinfoabstractArticlehistory:Thispaperpresentsamethodtojudgewhetherabusinessprocessissuccessfulornot.A

3、businessprocessReceived5August2006isdeemedsuccessfulifalargeenoughproportionofinstancesdwellinaworkflow(waitandbeexecuted)Receivedinrevisedform1March2009forlessthangivenperiod.Byanalyzinginstances’dwellingtimedistributioninaworkflow,thepropor-Accepted2

4、March2009tionofinstanceswhichdwellintheworkflowforlessthananygivenperiodwillbeachieved.Theper-Availableonline9March2009formanceanalysisofworkflowmodelplaysanimportantroleintheresearchofworkflowtechniquesandefficientimplementationofworkflowmanagement.Itinc

5、ludestheanalysisofinstances’dwellingKeywords:timedistributioninaworkflowprocess.Multidimensionalworkflownet(MWF-net)includesmultipleWorkflowmodeltimingworkflownets(TWF-nets)andtheorganizationandresourceinformation.Theprocessesoftrans-PerformanceDwellingt

6、imeactioninstancesformaqueuingmodelinwhichthetransactioninstancesactascustomersandtheProbabilitydensityresourcesactasservers.Thekeycontributionofthispaperistwofold.First,thispaperpresentsatheo-reticalmethodtocalculatetheinstances’dwellingtimeprobabil

7、itydensityinaworkflowwheretheactivitiesarestructuredandpredictable.Second,bythismethodtheanalysisofinstances’dwellingtimedistributionandsatisfactorydegreebasedondwellingtimecanbeachieved.Theservicetimeofaninstanceisspecifiedbythefiringdelayofthecorrespo

8、ndingtransition(executingtimeofthecorrespond-ingactivity).Itisassumedthattheservicerequest(processingofatransactioninstance)arriveswithexponentiallydistributedinter-arrivaltimesandthefiringdelayofatransition(executingtimeofthecorrespondingactivity)fol