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Improvements by analyzing the efficient frontier in DEA

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  • Washio, Satoshi
  • Yamada, Syuuji
  • Tanaka, Tamaki
  • Tanino, Tetsuzo

Abstract

In this paper, we suggest four types of improvements for making inefficient DMUs efficient in the CCR model with the minimal change of input and output values. Moreover, we propose an algorithm for calculating such improvements by applying quadratic programming techniques. Furthermore, since all equations constructing the efficient frontiers of the CCR and BCC models are necessary to execute the algorithm, we present a procedure for calculating them.

Suggested Citation

  • Washio, Satoshi & Yamada, Syuuji & Tanaka, Tamaki & Tanino, Tetsuzo, 2012. "Improvements by analyzing the efficient frontier in DEA," European Journal of Operational Research, Elsevier, vol. 217(1), pages 173-184.
    • Handle: RePEc:eee:ejores:v:217:y:2012:i:1:p:173-184
    DOI: 10.1016/j.ejor.2011.09.002
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    References listed on IDEAS

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    1. Takeda, Akiko & Nishino, Hisakazu, 2001. "On measuring the inefficiency with the inner-product norm in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 133(2), pages 377-393, January.
    2. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    3. Juan Aparicio & José Ruiz & Inmaculada Sirvent, 2007. "Closest targets and minimum distance to the Pareto-efficient frontier in DEA," Journal of Productivity Analysis, Springer, vol. 28(3), pages 209-218, December.
    4. Frances Frei & Patrick Harker, 1999. "Projections Onto Efficient Frontiers: Theoretical and Computational Extensions to DEA," Journal of Productivity Analysis, Springer, vol. 11(3), pages 275-300, June.
    5. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    6. Ole Olesen & N. Petersen, 2003. "Identification and Use of Efficient Faces and Facets in DEA," Journal of Productivity Analysis, Springer, vol. 20(3), pages 323-360, November.
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    Cited by:

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    3. Amineh Ghazi & Farhad Hosseinzadeh Lotfı & Masoud Sanei, 2022. "Finding the strong efficient frontier and strong defining hyperplanes of production possibility set using multiple objective linear programming," Operational Research, Springer, vol. 22(1), pages 165-198, March.
    4. Soushi Suzuki & Peter Nijkamp & Piet Rietveld, 2013. "Preference Elicitation in Generalized Data Envelopment Analysis - In Search of a New Energy Balance in Japan," Tinbergen Institute Discussion Papers 13-162/VIII, Tinbergen Institute.
    5. A. Ghazi & F. Hosseinzadeh Lotfi, 2023. "Marginal rates in DEA using defining hyperplanes of PPS with CRS technology," Operational Research, Springer, vol. 23(1), pages 1-37, March.
    6. Soushi Suzuki & Peter Nijkamp, 2021. "High urban population density as a facilitator of energy–environment–economy performance–development of an autoconfiguration target model in data envelopment analysis," Asia-Pacific Journal of Regional Science, Springer, vol. 5(1), pages 261-287, February.

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