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A multi-objective distance friction minimization model for performance assessment through data envelopment analysis

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  • Xiong, Beibei
  • Chen, Haoxun
  • An, Qingxian
  • Wu, Jie

Abstract

The distance friction minimization (DFM) model proposed by Suzuki, Nijkamp, Rietveld, & Pels (2010) is an important data envelopment analysis (DEA) model for performance improvement. This model has been widely applied to improve the performance of government, finance and transportation sectors and energy-environment management. The DFM model is constructed to set input and output improvements based on the optimal weight vector of the traditional CCR model. However, non-unique optimal weight vectors of the CCR model may be obtained when different linear programming solvers are used. Thus, different values for the two distance friction (DF) objectives may be obtained. Furthermore, the DF values obtained using one optimal weight vector may be dominated by those obtained using another optimal vector. To address this issue, we propose an improved DFM model that considers all the possible optimal weight vectors of the CCR model to determine a set of non-dominated DF values definitively. Our DFM model is a multi-objective, quadratic and nonlinear programming model that is solvable by an augmented ɛ-constraint method that ensures all solutions are Pareto efficient. We demonstrate the applicability of our new model by using it to analyse China's transportation sectors.

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  • Xiong, Beibei & Chen, Haoxun & An, Qingxian & Wu, Jie, 2019. "A multi-objective distance friction minimization model for performance assessment through data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 279(1), pages 132-142.
    • Handle: RePEc:eee:ejores:v:279:y:2019:i:1:p:132-142
    DOI: 10.1016/j.ejor.2019.05.007
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    as
    1. Zhou, Haibo & Yang, Yi & Chen, Yao & Zhu, Joe, 2018. "Data envelopment analysis application in sustainability: The origins, development and future directions," European Journal of Operational Research, Elsevier, vol. 264(1), pages 1-16.
    2. Aparicio, Juan & Ortiz, Lidia & Pastor, Jesus T., 2017. "Measuring and decomposing profit inefficiency through the Slacks-Based Measure," European Journal of Operational Research, Elsevier, vol. 260(2), pages 650-654.
    3. Chang, Young-Tae & Zhang, Ning & Danao, Denise & Zhang, Nan, 2013. "Environmental efficiency analysis of transportation system in China: A non-radial DEA approach," Energy Policy, Elsevier, vol. 58(C), pages 277-283.
    4. Dariush Khezrimotlagh & Yao Chen, 2018. "Data Envelopment Analysis," International Series in Operations Research & Management Science, in: Decision Making and Performance Evaluation Using Data Envelopment Analysis, chapter 0, pages 217-234, Springer.
    5. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    6. Suzuki, Soushi & Nijkamp, Peter & Rietveld, Piet & Pels, Eric, 2010. "A distance friction minimization approach in data envelopment analysis: A comparative study on airport efficiency," European Journal of Operational Research, Elsevier, vol. 207(2), pages 1104-1115, December.
    7. Chen, Haoxun, 2018. "Average lexicographic efficiency for data envelopment analysis," Omega, Elsevier, vol. 74(C), pages 82-91.
    8. An, Qingxian & Wen, Yao & Ding, Tao & Li, Yongli, 2019. "Resource sharing and payoff allocation in a three-stage system: Integrating network DEA with the Shapley value method," Omega, Elsevier, vol. 85(C), pages 16-25.
    9. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    10. Peter Wanke & Barros, 2015. "Slacks determinants in Brazilian railways: a distance friction minimization approach with fixed factors," Applied Economics, Taylor & Francis Journals, vol. 47(47), pages 5103-5120, October.
    11. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    12. Suzuki, Soushi & Nijkamp, Peter, 2016. "An evaluation of energy-environment-economic efficiency for EU, APEC and ASEAN countries: Design of a Target-Oriented DFM model with fixed factors in Data Envelopment Analysis," Energy Policy, Elsevier, vol. 88(C), pages 100-112.
    13. Galagedera, Don U.A., 2019. "Modelling social responsibility in mutual fund performance appraisal: A two-stage data envelopment analysis model with non-discretionary first stage output," European Journal of Operational Research, Elsevier, vol. 273(1), pages 376-389.
    14. Y C Ng & M K Chang, 2003. "Impact of computerization on firm performance: a case of Shanghai manufacturing enterprises," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(10), pages 1029-1037, October.
    15. Shi, Guang-Ming & Bi, Jun & Wang, Jin-Nan, 2010. "Chinese regional industrial energy efficiency evaluation based on a DEA model of fixing non-energy inputs," Energy Policy, Elsevier, vol. 38(10), pages 6172-6179, October.
    16. Boussemart, Jean-Philippe & Leleu, Hervé & Shen, Zhiyang & Vardanyan, Michael & Zhu, Ning, 2019. "Decomposing banking performance into economic and credit risk efficiencies," European Journal of Operational Research, Elsevier, vol. 277(2), pages 719-726.
    17. Korhonen, Pekka J. & Dehnokhalaji, Akram & Nasrabadi, Nasim, 2018. "A lexicographic radial projection onto the efficient frontier in Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 265(3), pages 1005-1012.
    18. Kao, Chiang & Liu, Shiang-Tai, 2019. "Cross efficiency measurement and decomposition in two basic network systems," Omega, Elsevier, vol. 83(C), pages 70-79.
    19. G Appa, 2002. "On the uniqueness of solutions to linear programs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(10), pages 1127-1132, October.
    20. Liu, Hui-hui & Song, Yao-yao & Yang, Guo-liang, 2019. "Cross-efficiency evaluation in data envelopment analysis based on prospect theory," European Journal of Operational Research, Elsevier, vol. 273(1), pages 364-375.
    21. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    22. Tone, Kaoru, 2001. "A slacks-based measure of efficiency in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 130(3), pages 498-509, May.
    23. Rajiv D. Banker & Richard C. Morey, 1986. "Efficiency Analysis for Exogenously Fixed Inputs and Outputs," Operations Research, INFORMS, vol. 34(4), pages 513-521, August.
    24. William W. Cooper & Lawrence M. Seiford & Kaoru Tone, 2006. "Introduction to Data Envelopment Analysis and Its Uses," Springer Books, Springer, number 978-0-387-29122-2, March.
    25. Soushi Suzuki & Peter Nijkamp, 2013. "A Stepwise Efficiency Improvement DEA Model for Airport Management with a Fixed Runway Capacity," Tinbergen Institute Discussion Papers 13-105/VIII, Tinbergen Institute.
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    7. Zare Ahmadabadi, Habib & Zamzam, Fatemeh & Emrouznejad, Ali & Naser Sadrabadi, Alireza & Morovati Sharifabadi, Ali, 2024. "Measuring sustainable performance of OECD countries considering CO2 emissions: A new optimistic-pessimistic distance friction Minimization Model," Socio-Economic Planning Sciences, Elsevier, vol. 96(C).

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