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A comment on “solving the puzzles of structural efficiency”

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  • Fang, Lei
  • Li, Hecheng

Abstract

In a recent paper by Li and Cheng [Li,S.K., Cheng, Y.S., 2007. Solving the puzzles of structural efficiency. European Journal of Operational Research 180(2), 713–722], they developed the shadow price model to solve the existing puzzles of structural efficiency theoretically. However, we observe that the optimal shadow price vector in the shadow price model by Li and Cheng (2007) is not always unique. As a result, the decomposition of the structural efficiency is arbitrarily generated, depending on the shadow price vector we choose. Finally, an example with multiple inputs and outputs is used to illustrate the phenomenon.

Suggested Citation

  • Fang, Lei & Li, Hecheng, 2013. "A comment on “solving the puzzles of structural efficiency”," European Journal of Operational Research, Elsevier, vol. 230(2), pages 444-446.
  • Handle: RePEc:eee:ejores:v:230:y:2013:i:2:p:444-446
    DOI: 10.1016/j.ejor.2013.04.037
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    References listed on IDEAS

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    1. Li, Sung-ko & Cheng, Yuk-shing, 2007. "Solving the puzzles of structural efficiency," European Journal of Operational Research, Elsevier, vol. 180(2), pages 713-722, July.
    2. Fang, Lei, 2013. "A generalized DEA model for centralized resource allocation," European Journal of Operational Research, Elsevier, vol. 228(2), pages 405-412.
    3. Forsund, Finn R & Hjalmarsson, Lennart, 1979. "Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Economic Journal, Royal Economic Society, vol. 89(354), pages 294-315, June.
    4. Sebastián Lozano & Gabriel Villa, 2004. "Centralized Resource Allocation Using Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 22(1), pages 143-161, July.
    5. Leleu, Hervé & Briec, Walter, 2009. "A DEA estimation of a lower bound for firms' allocative efficiency without information on price data," International Journal of Production Economics, Elsevier, vol. 121(1), pages 203-211, September.
    6. Cecilio Mar-Molinero & Diego Prior & Maria-Manuela Segovia & Fabiola Portillo, 2014. "On centralized resource utilization and its reallocation by using DEA," Annals of Operations Research, Springer, vol. 221(1), pages 273-283, October.
    7. Ylvinger, Svante, 2000. "Industry performance and structural efficiency measures: Solutions to problems in firm models," European Journal of Operational Research, Elsevier, vol. 121(1), pages 164-174, February.
    8. Vladimir Nesterenko & Valentin Zelenyuk, 2007. "Measuring potential gains from reallocation of resources," Journal of Productivity Analysis, Springer, vol. 28(1), pages 107-116, October.
    9. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, vol. 146(3), pages 615-620, May.
    10. Asmild, Mette & Paradi, Joseph C. & Pastor, Jesus T., 2009. "Centralized resource allocation BCC models," Omega, Elsevier, vol. 37(1), pages 40-49, February.
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    Cited by:

    1. Chih-Ching Yang, 2017. "Measuring health indicators and allocating health resources: a DEA-based approach," Health Care Management Science, Springer, vol. 20(3), pages 365-378, September.
    2. Färe, Rolf & Karagiannis, Giannis, 2017. "The denominator rule for share-weighting aggregation," European Journal of Operational Research, Elsevier, vol. 260(3), pages 1175-1180.
    3. Färe, Rolf & Karagiannis, Giannis, 2014. "A postscript on aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, vol. 233(3), pages 784-786.
    4. Giannis Karagiannis, 2015. "On structural and average technical efficiency," Journal of Productivity Analysis, Springer, vol. 43(3), pages 259-267, June.

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