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Olympics ranking and benchmarking based on cross efficiency evaluation method and cluster analysis: the case of Sydney 2000

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  • Jie Wu
  • Liang Liang
  • Dexiang Wu
  • Feng Yang

Abstract

In this paper, an extended tool of DEA, namely cross efficiency evaluation method, was used to measure the performance of the nations in the Summer Olympic Games of Sydney 2000. The model in the paper considered two inputs (GNP per capita and population) and a single output (the weighted sum of amounts of medals won). The advantages of the proposed model rest on the fact that it provides for a unique ranking of the participants and eliminates the unrealistic weight schemes without requiring the elicitation of extra weight restrictions. The average cross efficiencies were calculated and were compared to those originated from the radial efficiency method and other previous works. Also, cluster analysis technique was used to select the more appropriate targets for poorly performing countries to use as benchmarks.

Suggested Citation

  • Jie Wu & Liang Liang & Dexiang Wu & Feng Yang, 2008. "Olympics ranking and benchmarking based on cross efficiency evaluation method and cluster analysis: the case of Sydney 2000," International Journal of Enterprise Network Management, Inderscience Enterprises Ltd, vol. 2(4), pages 377-392.
    • Handle: RePEc:ids:ijenma:v:2:y:2008:i:4:p:377-392
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    Citations

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    Cited by:

    1. 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.
    2. Wenli Liu & Ying-Ming Wang & Shulong Lv, 2017. "An aggressive game cross-efficiency evaluation in data envelopment analysis," Annals of Operations Research, Springer, vol. 259(1), pages 241-258, December.
    3. Singh, Sanjeet, 2016. "Evaluation of world’s largest social welfare scheme: An assessment using non-parametric approach," Evaluation and Program Planning, Elsevier, vol. 57(C), pages 16-29.
    4. Alcaraz, Javier & Aparicio, Juan & Monge, Juan Fco & Ramón, Nuria, 2022. "Weight profiles in cross-efficiency evaluation based on hypervolume maximization," Socio-Economic Planning Sciences, Elsevier, vol. 82(PB).
    5. 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.
    6. 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.

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