生產(chǎn)率與效率分析lecture6-數(shù)據(jù)包絡(luò)分析1-在線瀏覽
2025-02-08 13:57本頁面
【正文】 * and yrRjrjjrkxiRjijjik dyydxxkk???? ???????? ? ? ?***** 1yrikxiikxiikikikdydxdxxx????????? ??***yrrkrkrkrkxiikikikikdyyyydxxxx?????????? ?? ?njjRjk ,1,0* ???? ?Reference Set: Table : 2 inputs – 1 output Case 1x2yD M U A B C D E FI n p u t 4 4 4 3 2 62 3 1 2 4 1O u t p u t 1 1 1 1 1 1Example Problem ? ?? ?? ?? ?? ?? ?? ?DCRuvvuvvvvFuvvEuvvDuvvCuvvBuvvAuvvuA,0,0,01240604202304034024subject toMaxim ize**2*12121212121212121?????????????????????????????????Primal Problem ? ?? ? ? ? ? ?? ? ? ? ? ?D ofOutput ofOutput ofOutput D ofInput ofInput ofInput ,0,0:,0102423204623444subject toMinimi ze*******??????????????????????????????????????????????????????????????????????FEDCBAjFEDCBAFEDCBAFEDCBAedunrestrictFBAj ?Dual Problem 0 D F E Figure : Efficiency of DMU A A A1 C yx2yx1Efficiency Frontier ? ?0,0,0,0,0,0, 0,0,0,01 toMaxim ize******121******121*121121121******?????????????????????????????????????????????????FEDCBAyxxFEDCBAyxxyxxjyFEDCBAxFEDCBAxFEDCBAyxxdddddddddFBAjdddddd?????????????????????????????????Table : Results of DEA Reference Set *1v ? ? ? ?, ** ?? DC DC ??? ? ? ?, ** ??ED ED ??? ?1* ?CC ?? ?1* ?DD ?? ?1* ?EE ? ?1* ?CC*2v*u *1xd *2xd *1yDMU Efficiency A 0 0 0 B 0 0 0 C 1 1 0 0 0 D 1 1 0 0 0 E 1 0 1 0 0 0 F 1 0 1 1 0 0 Software: EMS Results BCC model Variable Returns to Scale edunrestrictyyxxjrknjjrjiknjjij: and 00subject toMinimi ze11???????????????CCR model edunrestrictyyxxjnjjrknjjrjiknjjij: and 010subject toMinimi ze111???????????????????BCC model edunrestrictuvxvyuxvyurimiikisrrjrmiijisrrkr: and 0,010subject toMaxim ize1111???????????????????Dual Problem BCC model: (C) 0 Output Input Efficiency Frontier of CCR model Figure : Efficiency Frontier and Production Possibility Set (A) (B) Efficiency Frontier of BCC model b a c d e CCR有效與 BCC有效 Output Input Frontier of CCR model Frontier of BCC model b a c d P A B R ,CCRB C CC C R B C CPBTEPAPRTEPAPRSEPBT E T E SE?????= ?綜 合 效 率 純 技 術(shù) 效 率 規(guī) 模 效 率0 and 010sub ject toMinim ize1111???
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