Calculating Super Efficiency of DMUs for Ranking Units in Data Envelopment Analysis Based on SBM Model

被引:10
作者
Zanboori, E. [1 ]
Rostamy-Malkhalifeh, M. [1 ]
Jahanshahloo, G. R. [1 ]
Shoja, N. [2 ]
机构
[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran, Iran
[2] Islamic Azad Univ, Firozkoh Branch, Dept Math, Firozkoh, Iran
关键词
DECISION-MAKING UNITS; SLACKS-BASED MEASURE; DEA;
D O I
10.1155/2014/382390
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
There are a number of methods for ranking decision making units (DMUs), among which calculating super efficiency and then ranking the units based on the obtained amount of super efficiency are both valid and efficient. Since most of the proposed models do not provide the projection of Pareto efficiency, a model is developed and presented through this paper based on which in the projection of Pareto-efficient is obtained, in addition to calculating the amount of super efficiency. Moreover, the model is unit invariant, and is always feasible and makes the amount of inefficiency effective in ranking.
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页数:7
相关论文
共 46 条
[1]   A new method for ranking non-extreme efficient units in data envelopment analysis [J].
Abri, A. Gholam ;
Jahanshahloo, G. R. ;
Lotfi, F. Hosseinzadeh ;
Shoja, N. ;
Jelodar, M. Fallah .
OPTIMIZATION LETTERS, 2013, 7 (02) :309-324
[2]   Review of ranking methods in the data envelopment analysis context [J].
Adler, N ;
Friedman, L ;
Sinuany-Stern, Z .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 140 (02) :249-265
[3]   Ranking of decision making units in data envelopment analysis: A distance-based approach [J].
Amirteimoori, A ;
Jahanshahloo, G ;
Kordrostami, S .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (01) :122-135
[4]   DEA efficiency analysis: Efficient and anti-efficient frontier [J].
Amirteimoori, Alireza .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) :10-16
[5]   A PROCEDURE FOR RANKING EFFICIENT UNITS IN DATA ENVELOPMENT ANALYSIS [J].
ANDERSEN, P ;
PETERSEN, NC .
MANAGEMENT SCIENCE, 1993, 39 (10) :1261-1265
[6]  
Ashrafi A., 2011, AM J APPL SCI, V8, P92
[7]   Ranking efficient DMUs using the Tchebycheff norm [J].
Balf, F. Rezai ;
Rezai, H. Zhiani ;
Jahanshahloo, G. R. ;
Lotfi, F. Hosseinzadeh .
APPLIED MATHEMATICAL MODELLING, 2012, 36 (01) :46-56
[8]   SOME MODELS FOR ESTIMATING TECHNICAL AND SCALE INEFFICIENCIES IN DATA ENVELOPMENT ANALYSIS [J].
BANKER, RD ;
CHARNES, A ;
COOPER, WW .
MANAGEMENT SCIENCE, 1984, 30 (09) :1078-1092
[9]   FOUNDATIONS OF DATA ENVELOPMENT ANALYSIS FOR PARETO-KOOPMANS EFFICIENT EMPIRICAL PRODUCTION-FUNCTIONS [J].
CHARNES, A ;
COOPER, WW ;
GOLANY, B ;
SEIFORD, L ;
STUTZ, J .
JOURNAL OF ECONOMETRICS, 1985, 30 (1-2) :91-107
[10]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444