Skip to main content

Searching the Efficient Frontier in Data Envelopment Analysis

  • Chapter
Aiding Decisions with Multiple Criteria

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 44))

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

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.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Bouyssou, D., “DEA as a Tool for MCDM: Some Remarks”, Journal of the Operational Research Society 50, 974–978, 1999.

    Google Scholar 

  • Charnes, A., Cooper, W., Lewin, A.Y. and Seiford, L.M., Data Envelopment Analysis:Theory, Methodology and Applications, Kluwer Academic Publishers, Norwell, 1994.

    Google Scholar 

  • Charnes, A., Cooper, W.W. and Rhodes, E., “Measuring Efficiency of Decision Making Units”, European Journal of Operational Research 2,429–444, 1978.

    Article  Google Scholar 

  • Charnes, A., Cooper, W.W. and Rhodes, E. “Short Communication: Measuring Efficiency of Decision Making Units”, European Journal of Operational Research 3, 339, 1979.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Dyson, R.G. and E. Thanassoulis, “Reducing Weight Flexibility in Data Envelopment Analysis”, Journal of Operational Research Society 6, 563–576, 1988.

    Google Scholar 

  • Geoffrion, A., “Proper Efficiency and the Theory of Vector Maximisation”, Journal of Mathematical Analysis and Applications 22, pp. 618–630, 1968.

    Article  Google Scholar 

  • Golany, B., “An Interactive MOLP Procedure for the Extension of DEA to Effectiveness Analysis”, Journal of Operational Research Society 39, 725–734, 1988.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Joro, T., Korhonen, P. and Wallenius, J., “Structural Comparison of Data Envelopment Analysis and Multiple Objective Linear Programming”, Management Science 44, 962–970, 1998.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Korhonen, P., and Laakso, J., “A Visual Interactive Method for Solving the Multiple Criteria Problem”, European Journal of Operational Research 24, 277–287, 1986.

    Article  Google Scholar 

  • Korhonen, P. and Wallenius, J., “A Pareto Race”, Naval Research Logistics 35, 615–623, 1988.

    Article  Google Scholar 

  • Steuer, R.E., Multiple Criteria Optimization: Theory, Computation, and Application, Wiley, New York, 1986.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Wierzbicki, A., “On the Completeness and Constructiveness of Parametric Characterizations to Vector Optimization Problems”, OR Spektrum 8, 73–87, 1986.

    Article  Google Scholar 

  • Wong Y-H.B. and J.E. Beasley, “Restricting Weight Flexibility in Data Envelopment Analysis”, Journal of Operational Research Society 41, 829–835, 1990.

    Google Scholar 

  • Zhu, J., “Data Envelopment Analysis with Preference Structure”, Journal of the Operational Research Society 47, 136–150, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Denis Bouyssou Eric Jacquet-Lagrèze Patrice Perny Roman Słowiński Daniel Vanderpooten Philippe Vincke

Rights and permissions

Reprints 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

Publish with us

Policies and ethics