Estimation of efficiency and infinitesimals in data envelopment analysis

Abstract

The role of the non- Archimedean construct $\epsilon$ in the DEA models is clarified. It is established that the multiplier (envelopment) forms of DEA models can be infeasible (unbounded). Sufficient conditions are established for feasibility (bounded ness) of multiplier (envelopment) forms of DEA models and a method of securing a global assurance interval fore is provided.