Measuring a Dynamic Efficiency Based on MONLP Model under DEA Control

Data envelopment analysis (DEA) is a common technique in measuring the relative efficiency of a set of decision making units (DMUs) with multiple inputs and multiple outputs. Standard DEA models are quite limited models , in the sense that they do not consider a DMU at different times . To resolve this problem , DEA models with dynamic structures have been proposed . In a recent paper byafarian-Moghaddam and Ghoseiri [Jafarian-Moghaddam, A.R., Ghoseiri k., 2011. Fuzzy dynamic multi-objective Data Envelopment Analysis model. Expert Systems with Applications, 38 (1), 850-855.] they contribute to an interesting topic by presenting a fuzzy dynamic multi-objective DEA model to evaluate DMUs in which data are changing with time . However, this paper finds that their approach has some problems in the proposed models. In this paper, we first stress the present shortcomings in their modeling and then we propose a new DEA method for improving fuzzy dynamic multi-objective DEA model. The proposed model is a multiobjective non-linear programming (MONLP) problem and there are several methods for solving it; We use the goal programming (GP) method . The proposed model calculates the efficiency scores of DMUs by solving only one linear programming problem . Finally , we present an example with ten DMUs at three times to illustrate the applicability the proposed model.