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Ranking Two-Stage Production Units in Data Envelopment Analysis

Author

Listed:
  • Roza Azizi

    (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)

  • Reza Kazemi Matin

    (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran)

Abstract

In this paper, we propose a new approach to rank two-stage production systems in data envelopment analysis based on performance of the stages. To do this, a method is devised to compare the stages performance of a special two-stage unit with the corresponding stages performance of other units. The relative performance of two-stage production units is investigated under new definitions of weak and strong relations and a new ranking criterion is introduced as the result. The most important features of our method is the ability to achieve ranking intervals for two-stage production units based on the introduced relations over all feasible weights, as well as the ability to generate accurate information about sources of inefficiency of two-stage production units.

Suggested Citation

  • Roza Azizi & Reza Kazemi Matin, 2016. "Ranking Two-Stage Production Units in Data Envelopment Analysis," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(01), pages 1-19, February.
  • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:01:n:s0217595916500020
    DOI: 10.1142/S0217595916500020
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    References listed on IDEAS

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    1. Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity and intermediate products: A frontier approach," Economics Letters, Elsevier, vol. 50(1), pages 65-70, January.
    2. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    3. 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.
    4. 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.
    5. Russell G. Thompson & F. D. Singleton & Robert M. Thrall & Barton A. Smith, 1986. "Comparative Site Evaluations for Locating a High-Energy Physics Lab in Texas," Interfaces, INFORMS, vol. 16(6), pages 35-49, December.
    6. Liu, John S. & Lu, Wen-Min, 2010. "DEA and ranking with the network-based approach: a case of R&D performance," Omega, Elsevier, vol. 38(6), pages 453-464, December.
    7. Zhu, Joe, 2000. "Multi-factor performance measure model with an application to Fortune 500 companies," European Journal of Operational Research, Elsevier, vol. 123(1), pages 105-124, May.
    8. Chien Wang & Ram Gopal & Stanley Zionts, 1997. "Use of Data Envelopment Analysis in assessing Information Technology impact on firm performance," Annals of Operations Research, Springer, vol. 73(0), pages 191-213, October.
    9. Ahti Salo & Antti Punkka, 2011. "Ranking Intervals and Dominance Relations for Ratio-Based Efficiency Analysis," Management Science, INFORMS, vol. 57(1), pages 200-214, January.
    10. J S Liu & W-M Lu & C Yang & M Chuang, 2009. "A network-based approach for increasing discrimination in data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1502-1510, November.
    11. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    12. 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.
    13. J S Liu & W-M Lu, 2012. "Network-based method for ranking of efficient units in two-stage DEA models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(8), pages 1153-1164, August.
    14. 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.
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    Cited by:

    1. Volkan Soner Özsoy & Mediha Örkcü & H. Hasan Örkcü, 2021. "A minimax approach for selecting the overall and stage-level most efficient unit in two stage production processes," Annals of Operations Research, Springer, vol. 300(1), pages 137-169, May.

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