Identification of congestion by means of integer-valued data envelopment analysis

被引:19
作者
Karimi, Balal [1 ]
Khorram, Esmaile [2 ]
Moeini, Mahdi [3 ]
机构
[1] Islamic Azad Univ, Karaj Branch, Dept Math, Karaj, Iran
[2] Amirkabir Univ Technol, Dept Math & Comp Sci, Hafez Ave, Tehran, Iran
[3] Tech Univ Kaiserslautern, Chair Business Informat Syst & Operat Res BISOR, Postfach 3049,Erwin Schrodinger Str, D-67653 Kaiserslautern, Germany
关键词
Data envelopment analysis; Congestion; Mixed integer programming; Production possibility set;
D O I
10.1016/j.cie.2016.06.017
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In traditional Data Envelopment Analysis (DEA) all inputs and outputs are assumed to take real values. However, this is not realistic in many practical situations and in some applications we may need to work with integer variables and parameters. Once we assume that the variables can take only integer values, we may need to review different concepts of DEA. In this paper we focus on congestion for integer-valued DEA. After introducing the preliminaries and axioms that we need to establish our models, we derive the associated production possibility set (PPS). This step is followed by introduction of a mixed integer programming (MIP) model to compute efficiency scores. More precisely, the solutions of the MIP model is used in evaluating the presence of congestion and in identifying the reasons. Finally, we apply our approach on a couple of empirical examples and report the results. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:513 / 521
页数:9
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