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Sensitivity and stability analysis in data envelopment analysis

Author

Listed:
  • G R Jahanshahloo

    (Islamic Azad University)

  • F Hosseinzadeh

    (Islamic Azad University)

  • N Shoja

    (Islamic Azad University, Firozkoh Branch)

  • M Sanei

    (Islamic Azad University, Tehran-Center Branch)

  • G Tohidi

    (Islamic Azad University, Tehran-Center Branch)

Abstract

One of the topics of interest in data envelopment analysis (DEA) is sensitivity and stability and stability analysis of the specific decision making unit (DMU), which is under evaluation. In DEA, efficient DMUs are of primary importance as they define the efficient frontier. In this paper, we develop a new sensitivity analysis approach for the CCR, BCC and Additive models, when variations in the data are considered for a specific efficient DMU and the data for the remaining DMUs are assumed fixed.

Suggested Citation

  • G R Jahanshahloo & F Hosseinzadeh & N Shoja & M Sanei & G Tohidi, 2005. "Sensitivity and stability analysis in data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(3), pages 342-345, March.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:3:d:10.1057_palgrave.jors.2601808
    DOI: 10.1057/palgrave.jors.2601808
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    References listed on IDEAS

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    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. Charnes, A. & Neralic, L., 1990. "Sensitivity analysis of the additive model in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 48(3), pages 332-341, October.
    3. Zhu, Joe, 1996. "Robustness of the efficient DMUs in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 90(3), pages 451-460, May.
    4. Seiford, Lawrence M. & Zhu, Joe, 1998. "Stability regions for maintaining efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 108(1), pages 127-139, July.
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    Cited by:

    1. 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.
    2. Soleimani-damaneh, M. & Mostafaee, A., 2009. "Stability of the classification of returns to scale in FDH models," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1223-1228, August.
    3. Jahanshahloo, G.R. & Shirzadi, A. & Mirdehghan, S.M., 2009. "Finding strong defining hyperplanes of PPS using multiplier form," European Journal of Operational Research, Elsevier, vol. 194(3), pages 933-938, May.
    4. Jahanshahloo, G.R. & Hosseinzadeh Lotfi, F. & Zhiani Rezai, H. & Rezai Balf, F., 2007. "Finding strong defining hyperplanes of Production Possibility Set," European Journal of Operational Research, Elsevier, vol. 177(1), pages 42-54, February.

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