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Slack-based ranking method: an interpretation to the cross-efficiency method in DEA

Author

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  • C-P Bao

    (I-Shou University)

  • T-H Chen

    (Far-East University)

  • S-Y Chang

    (National Cheng-Kung University)

Abstract

The cross-efficiency method is generally utilized to rank decision-making units (DMUs) in data envelopment analysis (DEA) based on peer-evaluation logic. This brief note provides a method of using the available information from the linear program outputs to calculate the ranking of all DMUs with fewer computations and offers an alternative interpretation to the cross-efficiency method based on slack analysis in DEA.

Suggested Citation

  • C-P Bao & T-H Chen & S-Y Chang, 2008. "Slack-based ranking method: an interpretation to the cross-efficiency method in DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(6), pages 860-862, June.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:6:d:10.1057_palgrave.jors.2602411
    DOI: 10.1057/palgrave.jors.2602411
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    References listed on IDEAS

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    Cited by:

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    2. Wang, Ying-Ming & Chin, Kwai-Sang, 2011. "The use of OWA operator weights for cross-efficiency aggregation," Omega, Elsevier, vol. 39(5), pages 493-503, October.
    3. Tone, Kaoru & Toloo, Mehdi & Izadikhah, Mohammad, 2020. "A modified slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 287(2), pages 560-571.
    4. Rödder, W. & Reucher, E., 2012. "Advanced X-efficiencies for CCR- and BCC-models – towards Peer-based DEA controlling," European Journal of Operational Research, Elsevier, vol. 219(2), pages 467-476.
    5. Rödder, W. & Reucher, E., 2011. "A consensual peer-based DEA-model with optimized cross-efficiencies - Input allocation instead of radial reduction," European Journal of Operational Research, Elsevier, vol. 212(1), pages 148-154, July.
    6. Wang, Ying-Ming & Chin, Kwai-Sang, 2010. "Some alternative models for DEA cross-efficiency evaluation," International Journal of Production Economics, Elsevier, vol. 128(1), pages 332-338, November.
    7. Soltanifar, Mehdi & Shahghobadi, Saeid, 2013. "Selecting a benevolent secondary goal model in data envelopment analysis cross-efficiency evaluation by a voting model," Socio-Economic Planning Sciences, Elsevier, vol. 47(1), pages 65-74.
    8. Seyed Ali Rakhshan, 2017. "Efficiency ranking of decision making units in data envelopment analysis by using TOPSIS-DEA method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 906-918, August.
    9. Usman Akbar & Muhammad Asif Khan & Marryum Akmal & Éva Zsuzsanna Tóth Naárné & Judit Oláh, 2020. "Trade-Offs for the Optimal Energy Efficiency of Road Transportation: Domestic Cases in Developing Countries," Energies, MDPI, vol. 13(24), pages 1-14, December.

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