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AN EXTENDED AGGREGATED RATIO ANALYSIS IN DEA.pdf
JSystSciSystEng(Jun20l1)2O(2):249—256 ISSN:1004-3756(Paper)1861-9576(Online)
DOI:10.1007/sll518.Ol1—5162—1 CNl1.2983/N
AN EXTENDED AGGREGATED RATIo ANALYSISIN DEA
M alinSONG JieW U YumeiWANG3
SchoolofStatisticsandAppliedMathematics,AnhuiUniversityofFinance&Economics。Bengbu,23303~China
songmartin@163.com (函)
ZSchoolofManagement,UniversiytofScience&TechnologyofChina.Hefei,23002~China
jackyO12@mail.ustc.edu.cn
SchoolofStatisticsandAppliedMathematics,AnhuiUniversiytofFinance&Economics,Bengbu.23303~China
acwanygumei@163.com
Abstract
DataEnvelopmentAnalysis(DEA)andRatioAnalysis(RA)aretwowidelyusedmethodsfor
measuringunits’productivityandanyothercriteriathatcouldbehssessedbasedontheavailableinput
andoutputvariables.A numberofresearchershavestudiedDEA andRA andnotedthepositiveand
negativedifferencesbewteenthem.Aggregatedratioanalysis(ARA)model,whichprovidean
importantlinkagebetweenDEA and RA theory,isequivalentto theCCR DEA model,and htis
.
equivalencepropertyoffersargeatdealofopportunitiesforDEA tobe interpreted andapplied in
differentways.ThispaperextendshteresultsofARA modelandproposesanextendedagrgegated
ratioanalysis(EARA)model,similarashtedevelopmentfrom CCRmodeltoBCCmodelinDEA
context.Theproposedmodelcanofferaninsightintothecharacteristicofreturnstoscale,playinghte
correspondingroleasBCCmodeldoes.Thenumericalexampleisrevisitedinthepaperandtheresults
arecompared.
Keywords:DataEnvelopmentAn alysis(DEA),agrgegatedratioanalysis,efficiencyevaluation,
reutmStoscale
1.Introduction variables.Although thewt o methodssharethe
Data EnvelopmentAn alysis (
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