Modification of recyclable outputs via Modified CCR model

Data Envelopment Analysis (DEA) is a non-parametrical method for evaluating the efficiency of Decision Making Units (DMUs) using mathematical programming. But in special cases for the reason of a few difficulties such as weak efficient frontier and computing of non- Archimedean number and etc. this evaluation cannot do exactly. For evaluating the efficiency of DMUs, some of the units are located on the weak bound. In the facet analysis, we can move the units on weak boundary toward the effective frontier by selecting the lower bound for variables. Previously, some studies have been done to modify weak frontier at basic DEA model. In DEA models it has been assumed that outputs go outside of the system but there are systems in which some part of the outputs possibly used as inputs in the system. In this article we show the coherency between facet analysis of general DEA model and outreached DEA model. Finally, we will introduce the modification of weak frontiers and present the results by a numerical example.

Data envelopment analysis (DEA); Modified CCR