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Aggregation across decision–making units in radial DEA models without inputs or without outputs

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  • Giannis Karagiannis

    (University of Macedonia)

Abstract

In this paper, we derive theoretically consistent rules for aggregating (across decision-making units) performance measures that are obtained from different radial DEA models without inputs/outputs or with a single constant input/output. These rules ensure that the resulting aggregate (group) performance measure has the same form and intuitive interpretation as the individual measures.

Suggested Citation

  • Giannis Karagiannis, 2025. "Aggregation across decision–making units in radial DEA models without inputs or without outputs," Operational Research, Springer, vol. 25(3), pages 1-9, September.
    • Handle: RePEc:spr:operea:v:25:y:2025:i:3:d:10.1007_s12351-025-00927-z
    DOI: 10.1007/s12351-025-00927-z
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    References listed on IDEAS

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    1. Lovell, C. A. Knox & Pastor, Jesus T., 1999. "Radial DEA models without inputs or without outputs," European Journal of Operational Research, Elsevier, vol. 118(1), pages 46-51, October.
    2. Giannis Karagiannis, 2017. "On aggregate composite indicators," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(7), pages 741-746, July.
    3. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, vol. 146(3), pages 615-620, May.
    4. Rolf Färe & Giannis Karagiannis, 2024. "The denominator rule with unit ratio difference," Journal of Productivity Analysis, Springer, vol. 61(2), pages 183-190, April.
    5. Zhou, P. & Ang, B.W. & Poh, K.L., 2007. "A mathematical programming approach to constructing composite indicators," Ecological Economics, Elsevier, vol. 62(2), pages 291-297, April.
    6. Färe, Rolf & Karagiannis, Giannis, 2017. "The denominator rule for share-weighting aggregation," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1175-1180.
    7. Liu, W.B. & Zhang, D.Q. & Meng, W. & Li, X.X. & Xu, F., 2011. "A study of DEA models without explicit inputs," Omega, Elsevier, vol. 39(5), pages 472-480, October.
    8. Caporaletti, L. E. & Dulá, J. H. & Womer, N. K., 1999. "Performance evaluation based on multiple attributes with nonparametric frontiers," Omega, Elsevier, vol. 27(6), pages 637-645, December.
    9. Fare, Rolf & Zelenyuk, Valentin, 2007. "Extending Fare and Zelenyuk (2003)," European Journal of Operational Research, Elsevier, vol. 179(2), pages 594-595, June.
    10. Giannis Karagiannis, 2015. "On structural and average technical efficiency," Journal of Productivity Analysis, Springer, vol. 43(3), pages 259-267, June.
    11. Färe, Rolf & Karagiannis, Giannis, 2022. "Aggregating Farrell efficiencies without value data: The case of hospitals," Socio-Economic Planning Sciences, Elsevier, vol. 84(C).
    12. Färe, Rolf & Karagiannis, Giannis, 2020. "On the denominator rule and a theorem by Janos Aczél," European Journal of Operational Research, Elsevier, vol. 282(1), pages 398-400.
    Full references (including those not matched with items on IDEAS)

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