A DEA Model for Performance Evaluation in The Presence of Time Lag Effect
Data Envelopment Analysis (DEA) is a methodology
that computes efficiency values for decision making units (DMU) in a
given period by comparing the outputs with the inputs. In many cases,
there are some time lag between the consumption of inputs and the
production of outputs. For a long-term research project, it is hard to
avoid the production lead time phenomenon. This time lag effect
should be considered in evaluating the performance of organizations.
This paper suggests a model to calculate efficiency values for the
performance evaluation problem with time lag. In the experimental
part, the proposed methods are compared with the CCR and an
existing time lag model using the data set of the 21st century frontier
R&D program which is a long-term national R&D program of Korea.
[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] ├ûzg├╝r ├ûzpeynirci and Murat Kökslan(2007) Performance evaluation
using data envelopment analysis in the presence of time lags. J Prod Anal
27:221-229
[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] ├ûzg├╝r ├ûzpeynirci and Murat Kökslan(2007) Performance evaluation
using data envelopment analysis in the presence of time lags. J Prod Anal
27:221-229
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:52246", author = "Yanshuang Zhang and Byungho Jeong", title = "A DEA Model for Performance Evaluation in The Presence of Time Lag Effect", abstract = "Data Envelopment Analysis (DEA) is a methodology
that computes efficiency values for decision making units (DMU) in a
given period by comparing the outputs with the inputs. In many cases,
there are some time lag between the consumption of inputs and the
production of outputs. For a long-term research project, it is hard to
avoid the production lead time phenomenon. This time lag effect
should be considered in evaluating the performance of organizations.
This paper suggests a model to calculate efficiency values for the
performance evaluation problem with time lag. In the experimental
part, the proposed methods are compared with the CCR and an
existing time lag model using the data set of the 21st century frontier
R&D program which is a long-term national R&D program of Korea.", keywords = "DEA, Efficiency, Time Lag", volume = "6", number = "9", pages = "1885-4", }