tailieunhanh - Using goal programming method to solve dea problems with value judgments

This paper shows how a data envelopment analysis problem can be solved by transforming it into MOLP formulation. We use the goal programming method to reflect the decision making preferences in the process of assessing efficiency, such that the value judgments of the decision maker are considered. Therefore, the proposed method can find a solution that satisfies the decision maker’s goal levels. | Yugoslav Journal of Operations Research 24(2014) Number 2, 267 - 282 DOI: USING GOAL PROGRAMMING METHOD TO SOLVE DEA PROBLEMS WITH VALUE JUDGMENTS M. IZADIKHAH Department of Mathematics, College of Science, Arak-Branch, Islamic Azad University, Arak, Iran m-izadikhah@ R. ROOSTAEE Department of Mathematics, College of Science, Arak-Branch, Islamic Azad University, Arak, Iran r_roostaee@ F. HOSSEINZADEH LOTFI Department of Mathematics, Islamic Azad University, Science and Research Branch, Tehran, Iran farhad@ Received: December 2012 / Аccepted: May 2014 Abstract: Data envelopment analysis (DEA) is a linear programming approach for measuring relative efficiency of peer decision making units that have multiple inputs and outputs. DEA was developed without consideration of the decision maker’s preference structures. DEA and multiple objective linear programming are tools that can be used in management control and planning. This paper shows how a data envelopment analysis problem can be solved by transforming it into MOLP formulation. We use the goal programming method to reflect the decision making preferences in the process of assessing efficiency, such that the value judgments of the decision maker are considered. Therefore, the proposed method can find a solution that satisfies the decision maker’s goal levels. A case study is provided to illustrate how data envelopment oriented efficiency analysis can be conducted by using goal programming method. Keywords:Data envelopment analysis (DEA), Multiple objective linear programming (MOLP), Goalprogramming MSC: 90B50. 268 M. Izadikhah, R. Roostaee, F. Hosseinzadeh Lotfi/ Using goal programming 1. INTRODUCTION Data envelopment analysis (DEA), originally presented by Charnes et al. (1978), is a well-known family of mathematical programming tools for assessing the relative efficiency of a set of comparable processing decision making units (DMUs). The number