RELATIONS BETWEEN HALF-SPACE AND FINITELY GENERATED CONES IN POLYHEDRAL CONE-RATIO DEA MODELS

Analytic relations between the two representations (half-space and finitely generated) of cones in polyhedral cone-ratio DEA models are derived, which, for useful classes of cases in which they are simple, can make available the advantages of both for analysis and computation. We prove that such transfers between the two may be made through, essentially, the inverse of an associated matrix available in the computation and we provide formulae connecting solutions in the two representations.