Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31464
An Output Oriented Super-Efficiency Model for Considering Time Lag Effect

Authors: Yanshuang Zhang, Byungho Jeong

Abstract:

There exists some time lag between the consumption of inputs and the production of outputs. This time lag effect should be considered in calculating efficiency of decision making units (DMU). Recently, a couple of DEA models were developed for considering time lag effect in efficiency evaluation of research activities. However, these models can’t discriminate efficient DMUs because of the nature of basic DEA model in which efficiency scores are limited to ‘1’. This problem can be resolved a super-efficiency model. However, a super efficiency model sometimes causes infeasibility problem. This paper suggests an output oriented super-efficiency model for efficiency evaluation under the consideration of time lag effect. A case example using a long term research project is given to compare the suggested model with the MpO model.

Keywords: DEA, Super-efficiency, Time Lag.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1338048

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2363

References:


[1] Charnes A, Cooper WW, Rhodes E (1978) Measuring the efficiency of decision-making units. Eur J Oper Res 2:429–444
[2] Banker, R.D., Chames, A., and Cooper, W.W. (1984) "Some models for estimating technical and scale inefficiencies in Data Envelopment Analysis", Management Science 30/9, 1078-1092.
[3] Charnes, A., and Cooper, W.W. (1985), "Preface to topics in Data Envelopment Analysis", Annals of Operations Research 2, 59-94.
[4] Chames, A., Cooper, W.W., Golany, B., Seiford, L., and Stutz, J. (1985), "Foundations of Data Envelopment Analysis for Pareto-Koopmans efficient empirical production functions", Journal of Econometrics 30, 91-107.
[5] Chames, A., Cooper, W.W., Wei, Q.L., and Huang, Z.M. (1990), "Fundamental theorems of non-dominated solutions associated with cones in normed linear space", Journal of Mathematical Analysis and Applications 150/1, 54-78.
[6] Seiford, L.M., and Thrall, R.M. (1990), "Recent developments in DEA, the mathematical programming approach to Frontier Analysis", Journal of Econometrics 46, 7-38.
[7] Anderson, P. and Petersen, N.C.(1993) “A Procedure for Ranking Efficient Units in Data Envelopment analysis,” Mgmt. Sci., 39, 1261-1264
[8] Yu, G., Wei, Q.L., and Brockett, P. (1996), "A Generalized Data Envelopment Analysis model: A unification and extension of existing methods for efficiency analysis of decision making units", Annals of Operations Research 66.
[9] Post T, Spronk J (1999) Performance benchmarking using interactive data envelopment analysis. Eur J Oper Res 115:472–487
[10] Özgür Özpeynirci and Murat Kökslan(2007) Performance evaluation using data envelopment analysis in the presence of time lags. J Prod Anal 27:221–229
[11] Zhang, Y. and Jeong, B.H. (2012) “A DEA Model for Performance Evaluation in The presence of Time Lag Effect”, World Academy of Science , Engineering and Technology 69, 611-615