Construction of all DEA efficient surfaces of the production possibility set under the Generalized Data Envelopment Analysis Model
作者： Gang Yu , Quanling Wei , Patrick Brockett , Li Zhou
DOI: 10.1016/0377-2217(95)00304-5
关键词: Production (economics) 、 Economics 、 Data envelopment analysis 、 Mathematical optimization 、 Efficient algorithm 、 Structure (category theory) 、 Analytical expressions 、 Multiobjective programming 、 Pareto principle 、 Mathematical economics 、 Set (abstract data type)
摘要: Abstract In this paper, we study the structural properties of DEA efficient surfaces production possibility set under Generalized Data Envelopment Analysis (GDEA) model introduced by Yu, Wei and Brockett (1996). The GDEA contains following well-known (DEA) models as its special cases: CCR Charnes, Cooper, Rhodes (1978); BCC Banker, Charnes Cooper (1984); FG Fare Grosskopf (1985); ST Seiford Thrall (1990). relationships among Decision Making Units (DMUs) can be found solving with predilection cone description. Using these relations to identify relative positions DMUs on surface, devise an algorithm for constructing all surfaces. Through further analysis, show DEA-efficient several important subclasses models. Analytical expressions are obtained, which useful in analyzing structure efficiencies strategic group classifications. Results from paper suggest applications Pareto solutions (or nondominated solutions) multiobjective programming.
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sci-hub.se 参考文章(13)
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
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
A. Charnes, W.W. Cooper, Z.M. Huang, D.B. Sun, Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks Journal of Econometrics. ,vol. 46, pp. 73- 91 ,(1990) , 10.1016/0304-4076(90)90048-X
A Charnes, W.W Cooper, Q.L Wei, Z.M Huang, Fundamental theorems of nondominated solutions associated with cones in normed linear spaces Journal of Mathematical Analysis and Applications. ,vol. 150, pp. 54- 78 ,(1990) , 10.1016/0022-247X(90)90195-L
A. CHARNES, W. W. COOPER, Q. L. WEI, Z. M. HUANG, Cone ratio data envelopment analysis and multi-objective programming International Journal of Systems Science. ,vol. 20, pp. 1099- 1118 ,(1989) , 10.1080/00207728908910197
Gang Yu, Quanling Wei, Patrick Brockett, A generalized data envelopment analysis model: A unification and extension of existing methods for efficiency analysis of decision making units Annals of Operations Research. ,vol. 66, pp. 47- 89 ,(1996) , 10.1007/BF02125452
Rajiv D. Banker, Estimating most productive scale size using data envelopment analysis European Journal of Operational Research. ,vol. 17, pp. 35- 44 ,(1984) , 10.1016/0377-2217(84)90006-7
A. Charnes, W.W. Cooper, E. Rhodes, Measuring the efficiency of decision making units European Journal of Operational Research. ,vol. 2, pp. 429- 444 ,(1978) , 10.1016/0377-2217(78)90138-8
A. Charnes, W. W. Cooper, Preface to Topics in Data Envelopment Analysis Annals of Operations Research. ,vol. 2, pp. 59- 94 ,(1984) , 10.1007/BF01874733