Evaluating Multistage Supply Chain Efficiency with Dea Models

In order to evaluate the multistage supply chain efficiency, an appropriate performance evaluation system is importantly required. A representative multistage supply chain has three members composing a supplier-manufacturer-retailer structure, and has intermediate measures connecting these supply chain members. Existing data envelopment analysis (DEA) models have difficulties in measuring these kinds of supply chain efficiencies directly. In our current study, we develop several DEA based models for characterizing and measuring these multistage supply chain efficiencies, and considering the intermediate measures. We illustrated the models in a three-stage supply chain context which could represent different relationships between the supplier, manufacturer and retailer when they are treated as different supply chain structures: 1) the non-cooperative, 2) the partial-cooperative, and 3) the cooperative supply chain structure. We also demonstrate these models with a numerical example.