A unified classification of two-stage DEA models. Surveys in Operations Research and Management Science 19 (2014) 1–16
A unified classification of two-stage DEA models. Surveys in Operations Research and Management Science 19: 1–16. (SCOPUS listed). In common with N. Tzeremes and S. Kourtzidis (2014).
Standard Data Envelopment Analysis (DEA) is used to evaluate the efficiency of Decision Making Units (DMU) and treats its internal structures as a “black box”. The aim of this paper is twofold. The first task is to survey and classify two-stage and network DEA models with some extensions. The second aim is to point out the significance of these models for the decision maker of a supply chain. We analyze the simple case of these models which is the two-stage models and a few more general models such as network DEA models. Furthermore, we study some variations of these models such as models with only intermediate measures between first and second stage and models with exogenous inputs in the second stage. We define four categories: typical, relational, network and game theoretic DEA models. We present each category along with its mathematical formulations, main applications and possible connections with other categories. Finally, we present some concluding remarks and a number of policy implications and opportunities for the decision maker.