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

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 ε. They also showed that choosing ε in this interval guarantees the feasibility/boundedness of the multiplier/envelopment side of CCR models. In this paper we show that choosing ε 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 ε.