數(shù)據(jù)包絡分析靈敏性研究及應用.pdf

1、同濟大學碩士學位論文數(shù)據(jù)包絡分析靈敏性研究及應用姓名：王佳凱申請學位級別：碩士專業(yè)：運籌學與控制論指導教師：濮定國20071201AbstractABSTRACTSincethefirstDataEnvelopmentAnalysismodelwasputforwardbythefamousOperationalResearchexpelsAChames。形彤CooperandERhodesin1978，DEA，asanaccurate

2、andscientificnonparametrictechniqueformeasuringandevaluatingtherelativeefficiencies，hasthesuccessfulapplicationofmanyfieldsIthasbeengotrapiddevelopmentintheorystudyandapplication，andnOWitbecomesthecommonandimportantanaly

3、sistoolandresearchwayinmanagementscience，systemengineering，decisionanalysis，evaluationtechniqueandotherfieldsDataEnvelopmentAnalysisevaluatestheefficientproductivityfrontieraccordingtoagroupofinputandoutputdataTheproblen

4、lofDEAsensitivitywasdiscussedinSeifordandj此Zhu[15][16][36]，aswellasJahanshahloo[10]InthetraditionalanalysisofsensitivitybasedonthefactthatthedecreaseofinputandtheincreaseofoutputwillnotdeteriorateDMU’Sefficiencyonlythein

5、creaseofinputandthedecreaseofoutputwereconsideredButwhenalltheinputsandoutputscouldchangefreelytheproblemwhetherDMUcouldremainefficienthasnotbeendeeplystudiedAsamatteroffact，ignoringthedecreaseofinputsandtheincreaseofout

6、putsisnotreasonableinthisconditionSothispaperbreaksconstrainsonthechangesofinputsandoutputs，andappliesmulti—objectiveDEAmodelstothesituationsthatalltheinputandoutputcouldeitherincreaseordecreaseMeanwhile，thealgorithmsoft

7、hestabilityregionsaregivenThesealgorithmsnotonlyunifytheresultsofthetraditionalstudyofDMU’SefficiencybutalsoprovidenewandmorepracticalmethodsincopingwiththerealproblemsThispaperiscomposedoffivechaptersInthefirstchapterth

8、ebasicknowledgeandtheorywillbeintroduced，andtheadvantagesofthismethodwillbeillustratedThesecondchapterdefinedtheconceptsofDEAsensitivityandstabilityunderconventionalconditionsByintroducingextremeefficientDMU，thestability