Theory of integer-valued data envelopment analysis

被引:78
作者
Kuosmanen, Timo [1 ]
Matin, Reza Kazemi [2 ]
机构
[1] MTT Agrifood Res Finland, Econ Res Unit, Helsinki 00410, Finland
[2] Islamic Azad Univ, Dept Math, Karaj Branch, Tehran, Iran
关键词
Data envelopment analysis; Efficiency; Mixed Integer linear programming; Production theory; CATEGORICAL VARIABLES; OUTPUTS; DEA;
D O I
10.1016/j.ejor.2007.09.040
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
Conventional data envelopment analysis (DEA) models assume real-valued inputs and outputs. In many occasions, some inputs and/or outputs can only take integer values. In some cases, rounding the DEA solution to the nearest whole number can lead to misleading efficiency assessments and performance targets. This paper develops the axiomatic foundation for DEA in the case of integer-valued data, introducing new axioms of "natural disposability" and "natural divisibility". We derive a DEA production possibility set that satisfies the minimum extrapolation principle under our refined set of axioms, We also present a mixed integer linear programming formula for computing efficiency scores. An empirical application to Iranian university departments illustrates the approach. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:658 / 667
页数:10
相关论文
共 14 条
[1]  
[Anonymous], 1984, PERFORMANCE PUBLIC E
[2]  
Arrow K.J., 1971, General Competitive Analysis
[3]   THE USE OF CATEGORICAL VARIABLES IN DATA ENVELOPMENT ANALYSIS [J].
BANKER, RD ;
MOREY, RC .
MANAGEMENT SCIENCE, 1986, 32 (12) :1613-1627
[4]   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
[5]   Convex input and output projections of nonconvex production possibility sets [J].
Bogetoft, P ;
Tama, JM ;
Tind, J .
MANAGEMENT SCIENCE, 2000, 46 (06) :858-869
[6]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444
[7]   Alternative treatments of congestion in DEA: A rejoinder to Cooper, Gu, and Li [J].
Cherchye, L ;
Kuosmanen, T ;
Post, T .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2001, 132 (01) :75-80
[8]   THE USE OF CATEGORICAL VARIABLES IN DATA ENVELOPMENT ANALYSIS - A NOTE [J].
KAMAKURA, WA .
MANAGEMENT SCIENCE, 1988, 34 (10) :1273-1276
[9]   Weak disposability in nonparametric production analysis with undesirable outputs [J].
Kuosmanen, T .
AMERICAN JOURNAL OF AGRICULTURAL ECONOMICS, 2005, 87 (04) :1077-1082
[10]   Data envelopment analysis of integer-valued inputs and outputs [J].
Lozano, S ;
Villa, G .
COMPUTERS & OPERATIONS RESEARCH, 2006, 33 (10) :3004-3014