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Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis
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  • 作者:Seyed Ali Rakhshan ; Ali Vahidian Kamyad ; Sohrab Effati
  • 关键词:DEA ; AHP ; Decision making units (DMUs) ; Tchebychev model (TCH) ; Analytic hierarchy process/data envelopment analysis (AHP/DEA) ; AHP/TCH Method
  • 刊名:Annals of Operations Research
  • 出版年:2015
  • 出版时间:March 2015
  • 年:2015
  • 卷:226
  • 期:1
  • 页码:505-525
  • 全文大小:420 KB
  • 参考文献:1. Alder, N., Friedman, L., & Sinuany-Stern, Z. (2002). Review of ranking methods in data envelopment analysis context. / European Journal of Operational Research, 140, 249-65.
    2. Andersen, P., & Petersen, N. C. (1993). A procedure for ranking efficient units in data envelopment analysis. / Management Science, / 39, 1261-264. CrossRef
    3. Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some methods for estimating technical and scale inefficiencies in data envelopment analysis. / Management Science, / 30(9), 1078-092. CrossRef
    4. Banker, R. D., & Changb, H. (2006). The super-efficiency procedure for outlier identification, not for ranking efficient units. / European Journal of Operational Research, / 175(2), 1311-320. CrossRef
    5. Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. / European Journal Operation Research, / 2(6), 429-44. CrossRef
    6. Charnes, A., Cooper, W. W., Golany, B., Seiford, L. M., & Stutz, J. (1985). Foundations of data envelopment analysis for Pareto Koopmans efficient empirical production functions. / Journal of Economic, / 30, 91-07. CrossRef
    7. Cooper, W. W., Seiford, L. M., & Tone, K. (2006). / Introduction to data envelopment analysis and its uses. New York: Springer Science Business Media Inc.
    8. Friedman, L., & Sinuany-Stern, Z. (1997). Scaling units via the canonical correlation analysis in the DEA context. / European Journal of Operational Research, / 100, 629-37. CrossRef
    9. Jahanshahloo, G. R., Hosseinzadeh, Lotfi F., Shoja, N., Tohidi, G., & Razavyan, S. (2004). Ranking using \(L_1 \) -norm in data envelopment analysis. / Applied Mathematics and Computation, / 153, 215-24. CrossRef
    10. Jahanshahloo, G. R., Junior, H. V., Lotfi, F. H., & Akbarian, D. (2007). A new DEA ranking system based on changing the reference set. / European Journal of Operational Research, / 181(1), 331-37. CrossRef
    11. Mehrabian, S., Alirezaee, M. R., & Jahanshahloo, G. R. (1999). A complete efficiency ranking of decision making units in data envelopment analysis. / Computational Optimization and Applications, / 14(2), 261-66.
    12. Rezai Balf, F., Zhiani Rezai, H., Jahanshahloo, G. R., & Hosseinzadeh Lotfi, F. (2012). Ranking efficient DMUs using the Tchebycheff norm. / Applied Mathematical Modelling, / 36, 46-6. CrossRef
    13. Saaty, T. L. (1980). / The analytic hierarchy process. New York: McGraw-Hill.
    14. Saaty, T. L., & VAKGAS, L. G. (1984). Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios. / Mathematical Modeling, / 5, 309-24. CrossRef
    15. Saaty, T. L. (2003). Decision-making with the AHP: Why is the principal eigenvector necessary? / European Journal of Operational Research, / 145(1), 85-1. CrossRef
    16. Sexton, T. R., Silkman, R. H., & Hogan, A. J. (1986). / Data envelopment analysis. San Francisco: Jossey-Bass.
    17. Sinuany-Stern, Z., Mehrez, A., & Hadad, Y. (2000). An AHP/DEA methodology for ranking decision-making units. / International Transactions in Operational Research, / 7, 109-24. CrossRef
    18. Tavares, G., & Antunes, C. H. (2002). A Tchebycheff DEA Model. / Rutcor Research Report, / 35, 1-7.
  • 作者单位:Seyed Ali Rakhshan (1)
    Ali Vahidian Kamyad (1)
    Sohrab Effati (1)

    1. School of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
  • 刊物类别:Business and Economics
  • 刊物主题:Economics
    Operation Research and Decision Theory
    Combinatorics
    Theory of Computation
  • 出版者:Springer Netherlands
  • ISSN:1572-9338
文摘
All the basic models in data envelopment analysis (DEA) divide decision making units (DMUs) in two groups: efficient DMUs and inefficient DMUs, and lack of discrimination of efficient units is a serious problem. Also in spite of completely ranking units in analytical hierarchy process (AHP), the process of making pairwise comparison matrix is based on experts-choices and it causes error and inconsistency in resulted matrix. In this paper first a combined method is suggested for ranking the units and it will use benefits of both AHP and DEA methods to present a rational ranking, also will covers the problem of last methods noticeably and then properties and advantages of suggested method compare with another methods will be explained. Finally, for better comparison some numerical examples will be explained.

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