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Meta-frontier analysis using cross-efficiency method for performance evaluation

Author

Listed:
  • Chen, Lei
  • Huang, Yan
  • Li, Mei-Juan
  • Wang, Ying-Ming

Abstract

Efficiency overestimation and technology heterogeneity are important factors that affect the use of data envelopment analysis. This paper introduces a meta-frontier analysis framework into a cross-efficiency method to develop a new efficiency evaluation method. This method can be used to calculate, aggregate, and decompose the cross efficiencies relative to the meta-frontier and group-frontier. Then the technology gap between these frontiers can be measured and more detailed information regarding the inefficiency of decision-making units can be obtained. This enables decision makers to improve efficiency in a targeted manner. Subsequently, the non-uniqueness of the optimal solution is discussed for the new method, and the cross-evaluation strategy is introduced to ensure the stability of the optimal solution. Finally, two examples are presented to illustrate the effectiveness of this method.

Suggested Citation

  • Chen, Lei & Huang, Yan & Li, Mei-Juan & Wang, Ying-Ming, 2020. "Meta-frontier analysis using cross-efficiency method for performance evaluation," European Journal of Operational Research, Elsevier, vol. 280(1), pages 219-229.
    • Handle: RePEc:eee:ejores:v:280:y:2020:i:1:p:219-229
    DOI: 10.1016/j.ejor.2019.06.053
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    Citations

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    Cited by:

    1. Ali Homayoni & Reza Fallahnejad & Farhad Hosseinzadeh Lotfi, 2022. "Cross Malmquist Productivity Index in Data Envelopment Analysis," 4OR, Springer, vol. 20(4), pages 567-602, December.
    2. Christina Bampatsou & George Halkos, 2022. "Meta-frontier analysis of technology gap for efficiency and productivity comparisons across different sub-groups of EU-27 countries," Economics Bulletin, AccessEcon, vol. 42(3), pages 1413-1421.
    3. Yang Li & An-Chi Liu & Yi-Ying Yu & Yueru Zhang & Yiting Zhan & Wen-Cheng Lin, 2022. "Bootstrapped DEA and Clustering Analysis of Eco-Efficiency in China’s Hotel Industry," Sustainability, MDPI, vol. 14(5), pages 1-16, March.
    4. Chen, Lei & Wang, Ying-Ming, 2023. "Game directional distance function in meta-frontier data envelopment analysis," Omega, Elsevier, vol. 121(C).
    5. Davtalab-Olyaie, Mostafa & Asgharian, Masoud, 2021. "On Pareto-optimality in the cross-efficiency evaluation," European Journal of Operational Research, Elsevier, vol. 288(1), pages 247-257.
    6. Zhang, Ning & Zhao, Yu & Wang, Na, 2022. "Is China's energy policy effective for power plants? Evidence from the 12th Five-Year Plan energy saving targets," Energy Economics, Elsevier, vol. 112(C).
    7. Borrás, Fernando & Ruiz, José L. & Sirvent, Inmaculada, 2023. "Peer evaluation through cross-efficiency based on reference sets," Omega, Elsevier, vol. 114(C).
    8. Reza Fallahnejad & Mohammad Reza Mozaffari & Peter Fernandes Wanke & Yong Tan, 2024. "Nash Bargaining Game Enhanced Global Malmquist Productivity Index for Cross-Productivity Index," Games, MDPI, vol. 15(1), pages 1-21, January.
    9. Wasi Ul Hassan Shah & Yuting Lu & Gang Hao & Hong Yan & Rizwana Yasmeen, 2022. "Impact of “Three Red Lines” Water Policy (2011) on Water Usage Efficiency, Production Technology Heterogeneity, and Determinant of Water Productivity Change in China," IJERPH, MDPI, vol. 19(24), pages 1-23, December.
    10. Feng Li & Han Wu & Qingyuan Zhu & Liang Liang & Gang Kou, 2021. "Data envelopment analysis cross efficiency evaluation with reciprocal behaviors," Annals of Operations Research, Springer, vol. 302(1), pages 173-210, July.
    11. Lei Li & Ruizeng Zhao & Feihua Huang, 2023. "Environmental Performance of China’s Industrial System Considering Technological Heterogeneity and Interaction," Sustainability, MDPI, vol. 15(4), pages 1-17, February.
    12. Lin, Ruiyue & Peng, Yudan, 2024. "A new cross-efficiency meta-frontier analysis method with good ability to identify technology gaps," European Journal of Operational Research, Elsevier, vol. 314(2), pages 735-746.
    13. Aristovnik, Aleksander & Yang, Guo-liang & Song, Yao-yao & Ravšelj, Dejan, 2023. "Industrial performance of the top R&D enterprises in world-leading economies: A metafrontier approach," Socio-Economic Planning Sciences, Elsevier, vol. 89(C).

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