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Equivalence in two-stage DEA approaches

Author

Listed:
  • Chen, Yao
  • Liang, Liang
  • Zhu, Joe

Abstract

Data envelopment analysis (DEA) is a linear programming problem approach for evaluating the relative efficiency of peer decision making units (DMUs) that have multiple inputs and outputs. DMUs can have a two-stage structure where all the outputs from the first stage are the only inputs to the second stage, in addition to the inputs to the first stage and the outputs from the second stage. The outputs from the first stage to the second stage are called intermediate measures. This paper examines relations and equivalence between two existing DEA approaches that address measuring the performance of two-stage processes.

Suggested Citation

  • Chen, Yao & Liang, Liang & Zhu, Joe, 2009. "Equivalence in two-stage DEA approaches," European Journal of Operational Research, Elsevier, vol. 193(2), pages 600-604, March.
  • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:600-604
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    References listed on IDEAS

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    1. Lawrence M. Seiford & Joe Zhu, 1999. "Profitability and Marketability of the Top 55 U.S. Commercial Banks," Management Science, INFORMS, vol. 45(9), pages 1270-1288, September.
    2. 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.
    3. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
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    Citations

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    Cited by:

    1. Halkos, George & Tzeremes, Nickolaos & Kourtzidis, Stavros, 2011. "The use of supply chain DEA models in operations management: A survey," MPRA Paper 31846, University Library of Munich, Germany.
    2. Kao, Chiang, 2014. "Network data envelopment analysis: A review," European Journal of Operational Research, Elsevier, vol. 239(1), pages 1-16.
    3. Matthews, Kent, 2013. "Risk management and managerial efficiency in Chinese banks: A network DEA framework," Omega, Elsevier, vol. 41(2), pages 207-215.
    4. Chiou, Yu-Chiun & Lan, Lawrence W. & Yen, Barbara T.H., 2010. "A joint measurement of efficiency and effectiveness for non-storable commodities: Integrated data envelopment analysis approaches," European Journal of Operational Research, Elsevier, vol. 201(2), pages 477-489, March.
    5. Sahoo, Biresh K. & Zhu, Joe & Tone, Kaoru & Klemen, Bernhard M., 2014. "Decomposing technical efficiency and scale elasticity in two-stage network DEA," European Journal of Operational Research, Elsevier, vol. 233(3), pages 584-594.
    6. AGRELL, Per & HATAMI-MARBINI, Adel, 2011. "Frontier-based performance analysis models for supply chain management; state of the art and research directions," CORE Discussion Papers 2011069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. repec:eee:infome:v:12:y:2018:i:1:p:10-30 is not listed on IDEAS
    8. Hung, Shiu-Wan & Lu, Wen-Min & Wang, Tung-Pao, 2010. "Benchmarking the operating efficiency of Asia container ports," European Journal of Operational Research, Elsevier, vol. 203(3), pages 706-713, June.
    9. Fukuyama, Hirofumi & Weber, William L., 2010. "A slacks-based inefficiency measure for a two-stage system with bad outputs," Omega, Elsevier, vol. 38(5), pages 398-409, October.
    10. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min & Lin, Bruce J.Y., 2013. "Data envelopment analysis 1978–2010: A citation-based literature survey," Omega, Elsevier, vol. 41(1), pages 3-15.
    11. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2012. "How to measure the impact of environmental factors in a nonparametric production model," European Journal of Operational Research, Elsevier, vol. 223(3), pages 818-833.
    12. Azadi, Majid & Shabani, Amir & Khodakarami, Mohsen & Farzipoor Saen, Reza, 2015. "Reprint of “Planning in feasible region by two-stage target-setting DEA methods: An application in green supply chain management of public transportation service providers”," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 74(C), pages 22-36.
    13. Yin, Pengzhen & Sun, Jiasen & Chu, Junfei & Liang, Liang, 2016. "Evaluating the environmental efficiency of a two-stage system with undesired outputs by a DEA approach: An interest preference perspectiveAuthor-Name: Wu, Jie," European Journal of Operational Research, Elsevier, vol. 254(3), pages 1047-1062.
    14. repec:mbr:jmonec:v:11:y:2016:i:1:p:31-51 is not listed on IDEAS
    15. An, Qingxian & Yan, Hong & Wu, Jie & Liang, Liang, 2016. "Internal resource waste and centralization degree in two-stage systems: An efficiency analysis," Omega, Elsevier, vol. 61(C), pages 89-99.
    16. Chen, Yao & Cook, Wade D. & Kao, Chiang & Zhu, Joe, 2013. "Network DEA pitfalls: Divisional efficiency and frontier projection under general network structures," European Journal of Operational Research, Elsevier, vol. 226(3), pages 507-515.
    17. Lewis, Herbert F. & Mallikarjun, Sreekanth & Sexton, Thomas R., 2013. "Unoriented two-stage DEA: The case of the oscillating intermediate products," European Journal of Operational Research, Elsevier, vol. 229(2), pages 529-539.
    18. Cook, Wade D. & Liang, Liang & Zhu, Joe, 2010. "Measuring performance of two-stage network structures by DEA: A review and future perspective," Omega, Elsevier, vol. 38(6), pages 423-430, December.
    19. Ke Wang, 2013. "Efficiency evaluation of multistage supply chain with data envelopment analysis models," CEEP-BIT Working Papers 48, Center for Energy and Environmental Policy Research (CEEP), Beijing Institute of Technology.
    20. HATAMI-MARBINI, Adel & AGRELL, Per & AGHAYI, Nazila, 2013. "Imprecise data envelopment analysis for the two-stage process," CORE Discussion Papers 2013004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. repec:eee:ejores:v:268:y:2018:i:1:p:255-267 is not listed on IDEAS
    22. repec:eee:ejores:v:261:y:2017:i:2:p:679-689 is not listed on IDEAS
    23. Azadi, Majid & Shabani, Amir & Khodakarami, Mohsen & Farzipoor Saen, Reza, 2014. "Planning in feasible region by two-stage target-setting DEA methods: An application in green supply chain management of public transportation service providers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 324-338.
    24. Wanke, Peter F., 2013. "Physical infrastructure and shipment consolidation efficiency drivers in Brazilian ports: A two-stage network-DEA approach," Transport Policy, Elsevier, vol. 29(C), pages 145-153.
    25. repec:eee:jomega:v:73:y:2017:i:c:p:49-59 is not listed on IDEAS

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