Identification of the anchor points in FDH models

An algorithm for the anchor points of the PPS of the FRH models

“…As mentioned in the previous section, the set of anchor points is a subset of the set of extreme units. A basic definition of extreme DMU of the PPS of the FRH technology is as follows (see [21]).…”

“…In the latter case we call these virtual DMUs as "weak efficient virtual DMUs" or WEV DMUs, hereafter. Following Soleimani-damaneh and Mostafaee [21], the anchor points of the non-convex FRH models is defined as follows: Definition 2.1. DMU k ∈ E is an anchor DMU if some component of outputs can be decreased until zero or some component of inputs can be infinitely increased without penetrating the interior of T FRH .…”

“…To the best of the authors' knowledge, no specific study has been conducted on finding extreme and anchor points of the PPS of the FRH models. Following Soleimani-damaneh and Mostafaee [21], in this paper a definition of the extreme unit notion in (non-convex) FRH models has been provided as well as a new method to identify the extreme units and anchor points of the PPS of these models by testing all FRH-efficient DMUs via a variety of super-efficiency models (see models (3.1) and (3.2)) (after eliminating the FRH-inefficient DMUs from the PPS). The reader is referred to Andersen and Petersen [5], Mehrabian et al [15] and Seiford et al [20] for the super-efficiency models.…”

“…Free disposal hull (FDH) models are non-convex DEA models which have been introduced by Deprins et al [10]. Soleimani-damaneh and Mostafaee [21] investigated the extreme units and anchor points in non-convex FDH technology and provided necessary and sufficient conditions for characterizing the anchor points of the PPS of the FDH models. To the best of the authors' knowledge, no specific study has been conducted on finding extreme and anchor points of the PPS of the FRH models.…”

Finding Targets in Non-Radial FDH Models: A Hybrid Technique Based on STEM and Extended Ratio Based Approach

“…Kerstens and Van De Woestyne reviewed solution methods for nonconvex FDH models and give some critical comments [19]. Soleimani-Damaneh and Mostafaee identified the anchor points in FDH models [20]. Mirmozaffari et al proposed an improved DEA model based on SBM and FDH models [21].…”