Characteristics and structures of weak efficient surfaces of production possibility sets

作者: Quanling Wei , Hong Yan , Gang Hao

DOI: 10.1016/J.JMAA.2006.04.072

关键词:

摘要: This paper studies the characteristics and structure of weak surface production possibility set. We apply techniques methods transferring a polyhedral cone from its intersection form to sum form, identify an representation give theorem set, which includes three complementary slackness conditions. define input efficiency output for different DEA models according form. It investigates surfaces, proves theorems efficiency. The establish weighted combination inputs outputs that are efficient. Numerical examples provided illustration.

参考文章(16)
Rolf Färe, Shawna Grosskopf, Rolf Fare, A Nonparametric Cost Approach to Scale Efficiency The Scandinavian Journal of Economics. ,vol. 87, pp. 594- 604 ,(1985) , 10.2307/3439974
Lawrence M. Seiford, Robert M. Thrall, Recent developments in DEA Journal of Econometrics. ,vol. 46, pp. 7- 38 ,(1990) , 10.1016/0304-4076(90)90045-U
Ole B. Olesen, N. C. Petersen, Identification and Use of Efficient Faces and Facets in DEA Journal of Productivity Analysis. ,vol. 20, pp. 323- 360 ,(2003) , 10.1023/A:1027303901017
Rajiv D. Banker, R.M. Thrall, Estimation of returns to scale using data envelopment analysis European Journal of Operational Research. ,vol. 62, pp. 74- 84 ,(1992) , 10.1016/0377-2217(92)90178-C
Quanling Wei, Gang Yu, Analyzing properties of K-cones in the generalized data envelopment analysis model Journal of Econometrics. ,vol. 80, pp. 63- 84 ,(1997) , 10.1016/S0304-4076(97)00003-1
Hong Yan, Quanling Wei, Jun Wang, Constructing efficient solutions structure of multiobjective linear programming Journal of Mathematical Analysis and Applications. ,vol. 307, pp. 504- 523 ,(2005) , 10.1016/J.JMAA.2004.08.069
José H. Dulá, Computations in DEA Pesquisa Operacional. ,vol. 22, pp. 165- 182 ,(2002) , 10.1590/S0101-74382002000200005
Gang Yu, Quanling Wei, Patrick Brockett, Li Zhou, Construction of all DEA efficient surfaces of the production possibility set under the Generalized Data Envelopment Analysis Model European Journal of Operational Research. ,vol. 95, pp. 491- 510 ,(1996) , 10.1016/0377-2217(95)00304-5