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1、AnnOperRes(2010)173:177194DOI10.1007/s10479-009-0587-3DEAmodelswithundesirableinputsandoutputsW.B.Liu·W.Meng·X.X.Li·D.Q.ZhangPublishedonline:15July2009©SpringerScience+BusinessMedia,LLC2009AbstractDataEnvelopmentAnalysis(DEA)modelswithundesirableinputsandout
2、putshavebeenfrequentlydiscussedinDEAliterature,e.g.,viadatatransformation.Thesestud-ieswerescattedintheliterature,andoftenconfinedtosomeparticularapplications.InthispaperwepresentasystematicinvestigationonmodelbuildingofDEAwithouttransferringundesirabledata.W
3、efirstdescribethedisposabilityassumptionsandanumberofdifferentperformancemeasuresinthepresenceofundesirableinputsandoutputs,andthendiscussdifferentcombinationsofthedisposabilityassumptionsandthemetrics.ThisapproachleadstoaunifiedpresentationofseveralclassesofD
4、EAmodelswithundesirableinputsand/oroutputs.KeywordsDataEnvelopmentAnalysis·Undesirableinputsandoutputs·ExtendedStrongDisposability1IntroductionSincetheintroductionoftheDEAin1978,ithasbeenwidelyusedinefficiencyanalysisofmanybusinessandindustryapplications.Exce
5、llentliteraturesurveyscanbefoundin,forinstance,Seiford(1996)andCooperetal.(2004).Themostwell-knownDEAmodelsaretheCCRmodel(Charnesetal.1978),theBCCmodel(Bankeretal.1984),theAdditivemodel(Charnesetal.1985),andtheConeRatiomodel(Charnesetal.1989).TheseDEATheauth
6、orswishtoexpresstheirsincerethankstotherefereesforhisorherconstructivereviewsandsuggestions,whichleadtosignificantimprovementsofthispaper.W.B.Liu()KentBusinessSchool,UniversityofKent,Canterbury,CT27PE,UKe-mail:W.B.Liu@kent.ac.ukW.MengSchoolofPublicAdministra
7、tion,EastChinaNormalUniversity,Shanghai,200062,ChinaX.X.Li·D.Q.ZhangInstituteofPolicyandManagement,ChineseAcademyofSciences,Beijing,100080,China178AnnOperRes(2010)173:177194modelswereallformulatedfordesirableinputsandoutputs.However,therefrequentlyexistundes
8、irableinputsand/oroutputsinrealapplications.InDEAliterature,therealreadyexistedmuchresearchconcerningapplicationswithun-desirableinputsand/oroutputs.Someoftheexistingapproachesarebrieflysummarize
