Determination of Defining Hyperplanes of Dea Production Possibility Set

The ability of determining all defining hyperplanes of DEA production possibility set (efficient frontier) prior to the DEA computations is of extreme importance. Specially, access to efficient frontier permits a complete analysis (e.g. calculation of efficiency scores, returns to scale, sensitivity analysis and so on) in second phase for the corresponding model. This paper presents a linear system of constraints which its extreme points correspond to defining hyperplanes (both weak and strong ones). Numerical examples are provided to explore the advantage of using the proposed method.