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Efficiency decomposition in network data envelopment analysis: A relational model

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  • Kao, Chiang
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    Abstract

    Traditional studies in data envelopment analysis (DEA) view systems as a whole when measuring the efficiency, ignoring the operation of individual processes within a system. This paper builds a relational network DEA model, taking into account the interrelationship of the processes within the system, to measure the efficiency of the system and those of the processes at the same time. The system efficiency thus measured more properly represents the aggregate performance of the component processes. By introducing dummy processes, the original network system can be transformed into a series system where each stage in the series is of a parallel structure. Based on these series and parallel structures, the efficiency of the system is decomposed into the product of the efficiencies of the stages in the series and the inefficiency slack of each stage into the sum of the inefficiency slacks of its component processes connected in parallel. With efficiency decomposition, the process which causes the inefficient operation of the system can be identified for future improvement. An example of the non-life insurance industry in Taiwan illustrates the whole idea.

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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 3 (February)
    Pages: 949-962

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:3:p:949-962

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Data envelopment analysis Network DEA Series system Parallel system Efficiency;

    References

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    10. 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. Amado, Carla A.F. & Santos, Sérgio P. & Marques, Pedro M., 2012. "Integrating the Data Envelopment Analysis and the Balanced Scorecard approaches for enhanced performance assessment," Omega, Elsevier, vol. 40(3), pages 390-403.
    2. 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.
    3. Fukuyama, Hirofumi & Mirdehghan, S.M., 2012. "Identifying the efficiency status in network DEA," European Journal of Operational Research, Elsevier, vol. 220(1), pages 85-92.
    4. Guan, Jiancheng & Chen, Kaihua, 2012. "Modeling the relative efficiency of national innovation systems," Research Policy, Elsevier, vol. 41(1), pages 102-115.
    5. Lee, Chia-Yen & Johnson, Andrew L., 2012. "Two-dimensional efficiency decomposition to measure the demand effect in productivity analysis," European Journal of Operational Research, Elsevier, vol. 216(3), pages 584-593.
    6. Kao, Chiang, 2013. "Dynamic data envelopment analysis: A relational analysis," European Journal of Operational Research, Elsevier, vol. 227(2), pages 325-330.
    7. Chen, Kaihua, 2014. "Measuring and decomposing the overall efficiency of multi-period and -division systems associated with DEA," MPRA Paper 55073, University Library of Munich, Germany.
    8. Kao, Chiang & Liu, Shiang-Tai, 2014. "Multi-period efficiency measurement in data envelopment analysis: The case of Taiwanese commercial banks," Omega, Elsevier, vol. 47(C), pages 90-98.
    9. 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.
    10. Yang, Chyan & Liu, Hsian-Ming, 2012. "Managerial efficiency in Taiwan bank branches: A network DEA," Economic Modelling, Elsevier, vol. 29(2), pages 450-461.
    11. Kao, Chiang & Hwang, Shiuh-Nan, 2014. "Multi-period efficiency and Malmquist productivity index in two-stage production systems," European Journal of Operational Research, Elsevier, vol. 232(3), pages 512-521.
    12. Lu, Wen-Min & Wang, Wei-Kang & Hung, Shiu-Wan & Lu, En-Tzu, 2012. "The effects of corporate governance on airline performance: Production and marketing efficiency perspectives," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 529-544.
    13. 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.
    14. Wang, Ke & Huang, Wei & Wu, Jie & Liu, Ying-Nan, 2014. "Efficiency measures of the Chinese commercial banking system using an additive two-stage DEA," Omega, Elsevier, vol. 44(C), pages 5-20.
    15. Barnum, Darold T. & Karlaftis, Matthew G. & Tandon, Sonali, 2011. "Improving the efficiency of metropolitan area transit by joint analysis of its multiple providers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1160-1176.
    16. Kao, Chiang, 2014. "Efficiency decomposition for general multi-stage systems in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 232(1), pages 117-124.
    17. Zhao, Y. & Triantis, K. & Murray-Tuite, P. & Edara, P., 2011. "Performance measurement of a transportation network with a downtown space reservation system: A network-DEA approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 1140-1159.
    18. 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.
    19. Kao, Chiang, 2014. "Efficiency decomposition in network data envelopment analysis with slacks-based measures," Omega, Elsevier, vol. 45(C), pages 1-6.
    20. Kao, Chiang & Hwang, Shiuh-Nan, 2011. "Decomposition of technical and scale efficiencies in two-stage production systems," European Journal of Operational Research, Elsevier, vol. 211(3), pages 515-519, June.
    21. Chen, Ci & Yan, Hong, 2011. "Network DEA model for supply chain performance evaluation," European Journal of Operational Research, Elsevier, vol. 213(1), pages 147-155, August.

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