The cost and income efficiency models with MOLP structure
محورهای موضوعی : Data Envelopment AnalysisG.R. Jahanshahloo 1 , M. R. Mozaffari 2 , Z. Sobhan 3
1 - Department of Mathematics, Science and Research Branch,Islamic AzadUniversity,Tehran, Iran
2 - Department of Mathematics, Science and Research Branch,Islamic Azad University,Fars, Iran
3 - Department of Mathematics, Science and Research Branch,Islamic AzadUniversity,Tehran, Iran
کلید واژه: DEA, Efficiency, Multiple objective programming,
چکیده مقاله :
In this paper, the cost and income efficiency models have been considered withregard to the multiple objective programming structures. For finding the efficientpoints in purposed MOLP problem, some various methods like Lexicography &the weighted sum can be used. So by introducing the MOLP problem the cost &income efficiencies will be achieved. In the present study, the MOLP problem isconverted to an objective function by the weighted sum of the objective function.So we determine the efficient hyperplanes gradient by finding the dual linearprogramming (LP) problem.
In this paper, the cost and income efficiency models have been considered withregard to the multiple objective programming structures. For finding the efficientpoints in purposed MOLP problem, some various methods like Lexicography &the weighted sum can be used. So by introducing the MOLP problem the cost &income efficiencies will be achieved. In the present study, the MOLP problem isconverted to an objective function by the weighted sum of the objective function.So we determine the efficient hyperplanes gradient by finding the dual linearprogramming (LP) problem.
[1] Banker R., Charnes A., Cooper W.W., some models for estimating technical and scale inefficiencies in data envelopment analysise.European Journan of Operation Research, 30(9),1078-1092, 1984.
[2] Charnes A., Cooper W.W, Rhodes E., Measuring the efficiency of decision making units. Eur J Oper Res, 2, 429-444, 1978.
[3] Mette A., Paradi J., David N., Reese C., Tam F., Measuring overall efficiency and effectiveness using DEA. Eur J Oper Res,178, 305-321, 2007.
[4] Steuer RE, Multiple Criteria Optimization: Theory Computation and Application. Wiley New York, 1986.