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Aggregated Ratio Analysis in DEA

Author

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  • Yong Zha

    (School of Management, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China)

  • Liang Liang

    (School of Management, University of Science and Technology of China, Hefei, Anhui 230026, P. R. China)

Abstract

DEA and ratio analysis are commonly viewed as alternatively effective tools in assessing the performance of different DMUs. Many researches have been developed to reveal their inherent relationship and to explore the integration of both methods as well. In this paper, we first question Theorem 1 by Wu et al. (International Journal of Information Technology & Decision Making 4(3) (2005) 369–384) and illustrate a counter example to show the nonequivalence between the aggregated ratio model they proposed and CCR model. The errors which existed in its proof are also indicated. Further, an improved aggregated ratio model is established to better comprehend the inner relationship between the two methods. We demonstrate its equivalence to traditional CCR model, and propose an inference that the observed DMU is ratio efficient if and only if it is CCR efficient. Numerical analysis carefully describes the nontrivial difference between the proposed model and that by Wu et al. (International Journal of Information Technology & Decision Making 4(3) (2005) 369–384), and validates the feasibility of our model.

Suggested Citation

  • Yong Zha & Liang Liang, 2015. "Aggregated Ratio Analysis in DEA," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1285-1297, November.
    • Handle: RePEc:wsi:ijitdm:v:14:y:2015:i:06:n:s0219622014500114
    DOI: 10.1142/S0219622014500114
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    References listed on IDEAS

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    1. Tien-Hsiang Chang & Ling-Jing Kao & Tsung-Yin Ou & Hsin-Pin Fu, 2018. "A Hybrid Method to Measure the Operational Performance of Fast Food Chain Stores," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(04), pages 1269-1298, July.

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