DEA ranking method based upon virtual envelopment frontier and TOPSIS

Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice

Volumn 33, Issue 2, 2013, Pages 482-488

  Bian, Yi Wen ^a   Xu, Hao ^b  

^a SHANGHAI UNIVERSITY   (China)

^b ANHUI UNIVERSITY   (China)

Author keywords

Data envelopment analysis; Ranking; TOPSIS; Virtual frontier

Indexed keywords

DEA METHODS; DEA MODELS; OVERALL EFFICIENCY; RANKING; RANKING METHODS; TOPSIS; VIRTUAL FRONTIER;

OPTIMIZATION; SYSTEMS SCIENCE;

DATA ENVELOPMENT ANALYSIS;

EID: 84875580123     PISSN: 10006788     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Charnes A, Cooper W W, Rhodes E. Measuring the efficiency of decision making units [J]. European Journal of Operational Research, 1978, 2: 429-444.
2. Cook W D, Seiford L M. Data envelopment analysis (DEA) - Thirty years on [J]. European Journal of Operational Research, 2009, 192: 1-17.
3. Banker R D, Charnes A, Cooper W W. Some models for estimating technical and scale inefficiencies in data envelopment analysis [J]. Management Science, 1984, 30: 1078-1092.
4. Adler N, Friedman L, Sinuany-Stern Z. Review of ranking methods in the data envelopment analysis context [J]. European Journal of Operational Research, 2002, 140: 249-265.
5. Sexton T R, Silkman R H, Hogan A. Data envelopment analysis: Critique and extensions [C]// Silkman R H. Measuring Efficiency: An Assessment of Data Envelopment Analysis, San Francisco: JosseyBass, 1986: 73-105.
6. Doyle J, Green R. Efficiency and cross efficiency in DEA: Derivations, meanings and uses [J]. Journal of the Operational Research Society, 1994, 45: 567-578.
7. Andersen P, Petersen N C. A procedure for ranking efficient units in data envelopment analysis [J]. Management Science, 1993, 39: 1261-1294.
8. Tone K. A slacks-based measure of super-efficiency in data envelopment analysis [J]. European Journal of Operational Research, 2002, 143: 32-41.
9. Charnes A, Clark C T, Cooper W W, et al. A developmental study of data envelopment analysis in measuring the efficiency of maintenance units in the US Air Forces [J]. Annals of Operations Research, 1985, 2: 95-112.
10. Friedman L, Sinuany-Stern Z. Scaling units via the canonical correlation analysis and the data envelopment analysis [J]. European Journal of Operational Research, 1997, 100: 629-637.
11. Sinuany-Stern Z, Mehrez A, Barboy A. Academic departments efficiency via DEA [J]. Computers and Operations Research, 1994, 21: 543-556.
12. Golany B, Roll Y A. Incorporating standards via data envelopment analysis [C]// Charnes A, Cooper WW, Lewin A Y, et al. Data Envelopment Analysis: Theory, Methodology and Applications, Norwell: Kluwer Academic Publishers, 1994.
13. Cook W D, Kress M. A data envelopment model for aggregating preference rankings [J]. Management Science, 1990, 36: 1302-1310.
14. Yang F, Liang L, Zha Y, et al. DEA super efficiency evaluation model based on the complete envelopment frontier [J]. Journal of Management Sciences, 2008, 21: 69-74.
15. Jahanshahloo G R, Afzalinejad M. A ranking method based on a full inefficient frontier [J]. Applied Mathematical Modelling, 2006, 30: 248-260.
16. Wang Y M, Yang J B. Measuring the performances of decision making units using interval efficiencies [J]. Journal of Computational and Applied Mathematics, 2007, 198: 253-267.
17. Entani E, Maeda Y, Tanaka H. Dual models of interval DEA and its extension to interval data [J]. European Journal of Operational Research, 2002, 136: 32-45.
18. Wang Y M, Luo Y. DEA efficiency assessment using ideal and anti-ideal decision making units [J]. Applied Mathematics and Computation, 2006, 173: 902-915.
19. Xu H, Xu X Y. A credit classification method for incomplete information [J]. Chinese Journal of Management Science, 2008, 16: 157-163.
20. Zha Y, Liang L, Yang F, et al. An integerated DEA ranking method based upon common weights [J]. Chinese Economy Management Science Magazine, 2008(3): 23-25.
21. Chen Y, Ali A I. Output-input ratio analysis and DEA frontier [J]. European Journal of Operational Research, 2002, 142: 476-479.