A Dual Model for Efficiency Evaluation Considering Time Lag Effect
A DEA model can generally evaluate the performance
using multiple inputs and outputs for the same period. However, it is
hard to avoid the production lead time phenomenon some times, such
as long-term project or marketing activity. A couple of models have
been suggested to capture this time lag issue in the context of DEA.
This paper develops a dual-MPO model to deal with time lag effect in
evaluating efficiency. A numerical example is also given to show that
the proposed model can be used to get efficiency and reference set of
inefficient DMUs and to obtain projected target value of input
attributes for inefficient DMUs to be efficient.
<p>[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] 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.
[8] Post T, Spronk J (1999) Performance benchmarking using interactive data
envelopment analysis. Eur J Oper Res 115:472–487.
[9] Ozgur Ozpeynirci and Murat Kokslan(2007) Performance evaluation
using data envelopment analysis in the presence of time lags. J Prod Anal
27:221–229.
[10] Zhang Y.S. 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, 611-61.
[11] Cooper, W.W., Seiford, L. M., Tone, K.(2006), Introduction to Data
Envelopment Analysis and Its Uses, Springer Science, New York, USA.</p>
<p>[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] 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.
[8] Post T, Spronk J (1999) Performance benchmarking using interactive data
envelopment analysis. Eur J Oper Res 115:472–487.
[9] Ozgur Ozpeynirci and Murat Kokslan(2007) Performance evaluation
using data envelopment analysis in the presence of time lags. J Prod Anal
27:221–229.
[10] Zhang Y.S. 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, 611-61.
[11] Cooper, W.W., Seiford, L. M., Tone, K.(2006), Introduction to Data
Envelopment Analysis and Its Uses, Springer Science, New York, USA.</p>
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:50020", author = "Yan Shuang Zhang and Taehan Lee and Byung Ho Jeong", title = "A Dual Model for Efficiency Evaluation Considering Time Lag Effect", abstract = "A DEA model can generally evaluate the performance
using multiple inputs and outputs for the same period. However, it is
hard to avoid the production lead time phenomenon some times, such
as long-term project or marketing activity. A couple of models have
been suggested to capture this time lag issue in the context of DEA.
This paper develops a dual-MPO model to deal with time lag effect in
evaluating efficiency. A numerical example is also given to show that
the proposed model can be used to get efficiency and reference set of
inefficient DMUs and to obtain projected target value of input
attributes for inefficient DMUs to be efficient.
", keywords = "DEA, efficiency, time lag, dual problem.", volume = "7", number = "7", pages = "1346-4", }
