A FDH super-efficiency model

The free disposal hull (FDH) model, developed by Deprins et al. [The Performance of Public Enterprises Concepts and Measurements, Elsevier, 1984], is derived from a representation of the production technology where production plans satisfy strong disposability of inputs and outputs but without the convexity assumption. This paper contributes to the FDH literature by proposing FDH super-efficiency models that may become infeasible. We modify the proposed models to handle the infeasibility case as well as adjusting the corresponding measures of those DMUs that suffer from the infeasibility problem. The paper concludes with a comprehensive empirical study to illustrate the details and applicability of the proposed models

Dual frontiers without convexity

The conventional optimistic data envelopment analysis (DEA) model typically evaluates decision-making units (DMUs) using the best relative efficiency that is derived from the estimated efficient production frontier, while the pessimistic DEA model evaluates the DMUs according to the estimated inefficient production frontier. Although the results of these models vary significantly, both approaches should be incorporated for an overall performance evaluation, and a significant body of literature exists on this topic. This paper contributes to the literature by providing entirely new non-convex optimistic and pessimistic models by applying free disposal hull (FDH) technology, which is important in real-life scenarios. These models may experience a lack of sufficient discrimination power. Accordingly, two improved versions of both approaches are developed. The first version formulates the models in the presence of the slack variables. In the second version, we propose FDH super-efficiency models that may become infeasible. Thus, we propose the modified models without infeasibility problem. The paper concludes with a comprehensive empirical study to illustrate the details and applicability of the proposed models