Hyperbolic efficiency evaluation in two-stage network structures using conic DEA models

Abstract This study proposes a novel framework for evaluating the efficiency of two-stage network decision-making units by integrating the hyperbolic distance function (HDF) with conic optimization. Building on the direct HDF model of Hassanasab et al. (2019), the problem is reformulated within a conic programming structure that explicitly captures internal flows and inter-stage dependencies. The proposed model measures overall efficiency by simultaneously contracting inputs and expanding both i