Cheng, Gang and Qian, Zhenhua (2011): DEA数据标准化方法及其在方向距离函数模型中的应用. Forthcoming in: Systems Engineering
Preview |
PDF
MPRA_paper_31995.pdf Download (449kB) | Preview |
Abstract
Directional distance function is the generalization of radial model in data envelopment analysis. It has the capacity of dealing with undesirable outputs, but the problem is that it has no unit-invariant measurement of efficiency, which hampers its application to empirical studies. Data normalization for data envelopment analysis is a universal solution for the problem of unit-invariance, and the efficiency keeps unchanged in radial and non-radial models after data normalization. A unit-invariant efficiency measure for directional distance function is developed based on DEA data normalization.
Item Type: | MPRA Paper |
---|---|
Original Title: | DEA数据标准化方法及其在方向距离函数模型中的应用 |
English Title: | Data normalization for data envelopment analysis and its application to directional distance function |
Language: | Chinese |
Keywords: | Data Envelopment Analysis; Data Normalization; Units Invariance; Directional Distance Function |
Subjects: | C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling |
Item ID: | 31995 |
Depositing User: | Gang Cheng |
Date Deposited: | 06 Jul 2011 17:04 |
Last Modified: | 28 Sep 2019 10:48 |
References: | [1] Charnes A, Cooper WW,Rhodes E. Measuring the efficiency of decision making units. European Journal of Operational Research. 1978, 2(6), 429-444. [2] Seiford LM. Data envelopment analysis: The evolution of the state of the art (1978–1995) The Journal of Productivity Analysis. 1996, 6(7), 99-137. [3] Cook WD,Seiford LM. Data envelopment analysis (DEA) - Thirty years on. European Journal of Operational Research. 2009, 192(1), 1-17. [4] Lovell CAK,Pastor JT. Units invariant and translation invariant DEA models. Operations Research Letters. 1995, 18(3), 147-151. [5] Tone K. A slacks-based measure of efficiency in data envelopment analysis. European Journal of Operational Research. 2001, 130(3), 498-509. [6] Charnes A, Data envelopment analysis: theory, methodology, and application. 1994: Kluwer Academic Publishers. [7] Banker RD, Charnes A,Cooper WW. Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science. 1984, 30(9), 1078-1092. [8] Coelli TJ, Prasada Rao DS, O'Donnell CJ,Battese GE, Introduction to Efficiency and Productivity Analysis. 2nd ed. 2005, New York: Springer Science + Business Media. [9] Koopmans T, Activity analysis of production and allocation: proceedings of a conference, ed. C.C.f.R.i. Economics. 1951: Wiley. [10] Färe R,Knox Lovell CA. Measuring the technical efficiency of production. Journal of Economic Theory. 1978, 19(1), 150-162. [11] Cooper WW, Seiford LM,Tone K, Data envelopment analysis: a comprehensive text with models, applications, references and DEA-Solver software. 2nd ed. 2007, New York: Springer Science + Business Media. [12] Chambers RG, Chung Y,Färe R. Benefit and Distance Functions. Journal of Economic Theory. 1996, 70(2), 407-419. [13] Chung YH, Färe R,Grosskopf S. Productivity and undesirable outputs: A directional distance function approach. Journal of Environmental Management. 1997, 51(3), 229-240. [14] Chambers RG, Chung Y,Färe R. Profit, directional distance functions, and Nerlovian efficiency. Journal of Optimization Theory and Applications. 1998, 98(2), 351-364. [15] Briec W. Holder distance function and measurement of technical efficiency. Journal of Productivity Analysis. 1999, 11(2), 111-131. [16] Amirteimoori A,Kordrostami S. A Euclidean distance-based measure of efficiency in data envelopment analysis. Optimization. 2010, 59(7), 985-996. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/31995 |
Available Versions of this Item
- DEA数据标准化方法及其在方向距离函数模型中的应用. (deposited 06 Jul 2011 17:04) [Currently Displayed]