Multi-component performance, progress and regress measurement and shared inputs and outputs in DEA for panel data: an application in commercial bank branches

摘要

This paper deals with the role of time in DEA-efficiency analysis of multi-component decision making units (DMUs). In many applications that DEA can be applied, the models presented are designed to obtain a single measure of efficiency. However, in many real situations, the units under consideration may perform several different functions or can be separated into different components. In such situations, inputs are often shared among those components and all components are involved in producing some outputs. Using DEA technology, we first show how each unit and its components in a panel can be characterized in efficiency terms vis-a-vis two different kinds of frontier: contemporaneous and sequential. Next, frontier shifts outward and inward interpreted as progress and regress are considered, for each DMU and its components. An application on commercial bank branches is presented.