A non-radial super-efficiency model for ranking decision making units in DEA

Data envelopment analysis (DEA) is a mathematical programming method in Operations Research that can be used to distinguish between efficient and inefficient decision making units (DMUs). However, the conventional DEA models do not have the ability to rank the efficient DMUs. The super-efficiency models in DEA are used for ranking the efficient DMUs. This paper proposes a non-radial super-efficiency model that is different to the radial super-efficiency models and is always feasible under both constant returns to scale and variable returns to scale assumptions. A numerical example from the literature is used to illustrate the model.