Supply Chains' Efficiency Evaluation Based on Network DEA CCR Model and BCC Model

摘要

Data Envelopment Analysis is an important method to evaluate the relative efficiency of Decision Making Units. As a crucial aspect of supply chain management, the efficiency evaluation of supply chain has very important significance in providing operational decisions. DEA is an efficient method to evaluate the performance of supply chain system, but traditional methods ignore the internal structure of supply chain and treat the supply chain as a black box, thus usually overestimate the efficiency. This paper concentrates on the supply chain system with serial structures, and some intermediate products from the first stage are viewed as final product outputs and some new extra intermediate product inputs are added to the second stage. Then we propose corresponding two-stage network DEA CCR and BCC model, and we do some theoretical studies about the network CCR model. We give the production possibility set of the models and investigate the sufficient condition for network DEA efficiency and study the relationship between the weak network DEA efficiency of the whole system and the network DEA efficiency of the subsystems. Based on the network DEA CCR and BCC models, we get the conclusions that the productive efficiency calculated from the network DEA CCR model can be decomposed into technical efficiency and scale efficiency. Finally we use a numerical example to illustrate the theorems presented by this paper.