Measuring a Dynamic Efficiency Based on MONLP Model under DEA Control
الموضوعات : International Journal of Data Envelopment Analysis
K. Gholami
1
(Department of Science, Bushehr Branch, Islamic Azad University, Bushehr, Iran)
Z. Ghelej Beigi
2
(Department of Mathematics, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Isfahan, Iran)
الکلمات المفتاحية: Data Envelopment Analysis, Decision Making Unit, Multi-Objective Programming P, Goal Programming. ,
ملخص المقالة :
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 by afarian-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 multi-objective 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.
[1] Amin, G.R., Toloo, M., (2007) Finding the most efficient DMUs in DEA: an improved integrated model. Computers & Industrial Engineering, 52, 71-77.
[2] Amirteimoori A., (2006) Data envelopment analysis in dynamic framework. Applied Mathematics and Computation, 181 (1), 21-28.
[3] Chankong, V., Haimes, Y.Y., (1983) Multiobjective decision making: Theory and methodology, Elsevier Science Publishing, New York.
