Abstract
In this paper, we deal with the problem of searching the efficient frontier in Data Envelopment Analysis. The approach developed to make a free search on the efficient frontier in multiple objective linear programming can also be used in DEA. The search is useful, when preference information is desired to incorporate into efficiency analysis. For instance, the DM may want to use some flexibility in locating a reference unit for an inefficient unit or (s)he would like to find the most preferred input- and output-values on the efficient frontier. Using a numerical example, we will demonstrate how to make the search and how to use the results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arnold V., Bardhan, I., Cooper, W.W., Gallegos, A., “Primal and Dual Optimality in Computer Codes Using Two-Stage Solution Procedures in DEA”, (Forthcoming in Aronson, J. and S. Zionts (Eds.): Operations Research: Models, Methods and Applications, Kluwer, Norwell. (A Volume in honor of G.L. Thompson)), 1997.
Banker, R.D., Charnes, A. and Cooper, W.W., “Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis”, Management Science 30, 1078–1092, 1984.
Bouyssou, D., “DEA as a Tool for MCDM: Some Remarks”, Journal of the Operational Research Society 50, 974–978, 1999.
Charnes, A., Cooper, W., Lewin, A.Y. and Seiford, L.M., Data Envelopment Analysis:Theory, Methodology and Applications, Kluwer Academic Publishers, Norwell, 1994.
Charnes, A., Cooper, W.W. and Rhodes, E., “Measuring Efficiency of Decision Making Units”, European Journal of Operational Research 2,429–444, 1978.
Charnes, A., Cooper, W.W. and Rhodes, E. “Short Communication: Measuring Efficiency of Decision Making Units”, European Journal of Operational Research 3, 339, 1979.
Charnes, A., W.W. Cooper, Q.L. Wei, and Z.M. Huang, “Cone Ratio Data Envelopment Analysis and Multi-Objective Programming”, International Journal of Systems Science 20, 1099–1118, 1989.
Charnes, A., W.W. Cooper, Q.L. Wei, and Z.M. Huang, “Fundamental Theorems of Nondominated Solutions Associated with Cones in Normed Linear Spaces”, Journal of Mathematical Analysis and Applications 150, 54–78, 1990.
Dyson, R.G. and E. Thanassoulis, “Reducing Weight Flexibility in Data Envelopment Analysis”, Journal of Operational Research Society 6, 563–576, 1988.
Geoffrion, A., “Proper Efficiency and the Theory of Vector Maximisation”, Journal of Mathematical Analysis and Applications 22, pp. 618–630, 1968.
Golany, B., “An Interactive MOLP Procedure for the Extension of DEA to Effectiveness Analysis”, Journal of Operational Research Society 39, 725–734, 1988.
Halme, M., Joro, T., Korhonen, P., Salo, S., and Wallenius, J., “A Value Efficiency Approach to Incorporating Preference Information in Data Envelopment Analysis”, Management Science 45, 103–115, 1999.
Joro, T., Korhonen, P. and Wallenius, J., “Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming”, Management Science 44, 962–970, 1998.
Korhonen, P., “VIG — A Visual Interactive Support System for Multiple Criteria Decision Making”, Belgian Journal of Operations Research, Statistics and Computer Science 27, 3–15, 1987.
Korhonen, P., and Laakso, J., “A Visual Interactive Method for Solving the Multiple Criteria Problem”, European Journal of Operational Research 24, 277–287, 1986.
Korhonen, P. and Wallenius, J., “A Pareto Race”, Naval Research Logistics 35, 615–623, 1988.
Steuer, R.E., Multiple Criteria Optimization: Theory, Computation, and Application, Wiley, New York, 1986.
Thanassoulis E. and Dyson R.G., “Estimating Preferred Target Input-Output Levels Using Data Envelopment Analysis”, European Journal of Operational Research 56, 80–97, 1992.
Thompson R.G., Langemeier, L.M., Lee, C-T., Lee, E., and Thrall, R.M., “The Role of Multiplier Bounds in Efficiency Analysis with Application to Kansas Farming”, Journal of Econometrics 46, 93–108, 1990.
Thompson, R.G., Singleton, Jr., F.R., Thrall, R.M., and Smith, B.A., “Comparative Site Evaluation for Locating a High-Energy Physics Lab in Texas”, Interfaces 16, 35–49, 1986.
Wierzbicki, A., “The Use of Reference Objectives in Multiobjective Optimization”, in G. Fandel and T. Gal (Eds.), Multiple Objective Decision Making, Theory and Application, Springer-Verlag, New York, 1980.
Wierzbicki, A., “On the Completeness and Constructiveness of Parametric Characterizations to Vector Optimization Problems”, OR Spektrum 8, 73–87, 1986.
Wong Y-H.B. and J.E. Beasley, “Restricting Weight Flexibility in Data Envelopment Analysis”, Journal of Operational Research Society 41, 829–835, 1990.
Zhu, J., “Data Envelopment Analysis with Preference Structure”, Journal of the Operational Research Society 47, 136–150, 1996.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Korhonen, P. (2002). Searching the Efficient Frontier in Data Envelopment Analysis. In: Bouyssou, D., Jacquet-Lagrèze, E., Perny, P., Słowiński, R., Vanderpooten, D., Vincke, P. (eds) Aiding Decisions with Multiple Criteria. International Series in Operations Research & Management Science, vol 44. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0843-4_24
Download citation
DOI: https://doi.org/10.1007/978-1-4615-0843-4_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5266-2
Online ISBN: 978-1-4615-0843-4
eBook Packages: Springer Book Archive