Recognizing the efficiency, weak efficiency and inefficiency of DMUs with an epsilon independent linear program

被引:11
作者
Alirezaee, Mohammad R. [1 ]
Khalih, Masoud [1 ]
机构
[1] Iran Univ Sci & Technol, Dept Math, Tehran, Iran
关键词
data envelopment analysis; non-Archimedean infinitesimal; overall assurance interval;
D O I
10.1016/j.amc.2006.05.176
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
One of the important problems in the CCR and BBC models is determining the non-Archimedean infinitesimal epsilon. Mehrabian et al. [S. Mehrabian, G.R. Jahanshahloo, M.R. Alirezaei, G.R. Amin, An assurance interval for the non-Archimedean Epsilon in DEA models, Operations Research 48(2) (2000) 344-347] presented a procedure for determining overall assurance interval of e. They also showed that choosing E in this interval guarantees the feasibility/boundedness of the multiplier/envelopment side of CCR models. In this paper we show that choosing F arbitrarily in the proposed overall assurance interval may not lead to correct recognition of the efficient and inefficient DMUs. Then we propose a new model that can recognize the efficient and inefficient DMUs without dependence on different values of epsilon. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:1323 / 1327
页数:5
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