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Optimising proportional weights as a secondary goal in DEA cross-efficiency evaluation

Author

Listed:
  • Reza Maddahi
  • Gholam Reza Jahanshahloo
  • Farhad Hosseinzadeh Lotfi
  • Ali Ebrahimnejad

Abstract

Cross-efficiency evaluation is an alternative approach to rank of decision making units (DMUs) in data envelopment analysis (DEA). This approach introduces a cross-efficiency matrix, in which the units are self and peer evaluated. However, the cross-efficiency scores may not be unique due to the presence of alternate optima. To overcome this shortcoming, the secondary goals have been introduced in the cross-efficiency evaluation. In this paper, we propose the proportional weight assignment technique that makes a selection of weight proportional to its corresponding input or output as a secondary goal in DEA cross-efficiency evaluation. A numerical example is solved by use of the proposed method and its results are compared with other approaches. The results show that our proposed method can be effective and practical.

Suggested Citation

  • Reza Maddahi & Gholam Reza Jahanshahloo & Farhad Hosseinzadeh Lotfi & Ali Ebrahimnejad, 2014. "Optimising proportional weights as a secondary goal in DEA cross-efficiency evaluation," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 19(2), pages 234-245.
    • Handle: RePEc:ids:ijores:v:19:y:2014:i:2:p:234-245
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    Citations

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    Cited by:

    1. 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.
    2. Georgios Tsaples & Jason Papathanasiou & Andreas C. Georgiou, 2022. "An Exploratory DEA and Machine Learning Framework for the Evaluation and Analysis of Sustainability Composite Indicators in the EU," Mathematics, MDPI, vol. 10(13), pages 1-27, June.
    3. Balk, Bert M. & (René) De Koster, M.B.M. & Kaps, Christian & Zofío, José L., 2021. "An evaluation of cross-efficiency methods: With an application to warehouse performance," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    4. Meng, Fanyong & Xiong, Beibei, 2021. "Logical efficiency decomposition for general two-stage systems in view of cross efficiency," European Journal of Operational Research, Elsevier, vol. 294(2), pages 622-632.
    5. Chaofan Xian & Shuo Yang & Yupeng Fan & Haotong Wu & Cheng Gong, 2022. "Coupling Efficiency Assessment of Food–Energy–Water (FEW) Nexus Based on Urban Resource Consumption towards Economic Development: The Case of Shenzhen Megacity, China," Land, MDPI, vol. 11(10), pages 1-25, October.
    6. Wu, Jie & Chu, Junfei & Sun, Jiasen & Zhu, Qingyuan, 2016. "DEA cross-efficiency evaluation based on Pareto improvement," European Journal of Operational Research, Elsevier, vol. 248(2), pages 571-579.
    7. 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.
    8. Hamid Kiaei & Reza Farzipoor Saen & Reza Kazemi Matin, 2023. "Cross-efficiency evaluation and improvement in two-stage network data envelopment analysis," Annals of Operations Research, Springer, vol. 321(1), pages 281-309, February.

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