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An integrated approach based on DEA and AHP

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  • Mohammad Pakkar

Abstract

This research proposes a theoretical framework to assess the performance of Decision Making Units (DMUs) by integrating the Data Envelopment Analysis (DEA) and Analytic Hierarchy Process (AHP) methodologies. According to this, we consider two sets of weights of inputs and outputs under hierarchical structures of data. The first set of weights, represents the best attainable level of efficiency for each DMU in comparison to other DMUs. This level of efficiency can be less than or equal to that of obtaining from a traditional DEA model. The second set of weights reflects the priority weights of inputs and outputs for all DMUs, using AHP, in the DEA framework. We assess the performance of each DMU in terms of the relative closeness to the priority weights of inputs and outputs. For this purpose, we develop a parametric distance model to measure the deviations between the two sets of weights. Increasing the value of a parameter in a defined range of efficiency loss, we explore how much the deviations can be improved to achieve the desired goals of the decision maker. This may result in various ranking positions for each DMU in comparison to the other DMUs. To highlight the usefulness of the proposed approach, a case study for assessing the financial performance of eight listed companies in the steel industry of China is carried out. Copyright Springer-Verlag Berlin Heidelberg 2015

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  • Mohammad Pakkar, 2015. "An integrated approach based on DEA and AHP," Computational Management Science, Springer, vol. 12(1), pages 153-169, January.
    • Handle: RePEc:spr:comgts:v:12:y:2015:i:1:p:153-169
    DOI: 10.1007/s10287-014-0207-9
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    1. Lovell, C. A. Knox & Pastor, Jesus T., 1999. "Radial DEA models without inputs or without outputs," European Journal of Operational Research, Elsevier, vol. 118(1), pages 46-51, October.
    2. Kao, Chiang, 2008. "A linear formulation of the two-level DEA model," Omega, Elsevier, vol. 36(6), pages 958-962, December.
    3. Amy H. I. Lee & Chun Yu Lin & He-Yau Kang & Wen Hsin Lee, 2012. "An Integrated Performance Evaluation Model for the Photovoltaics Industry," Energies, MDPI, vol. 5(4), pages 1-21, April.
    4. 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.
    5. Yang, Taho & Kuo, Chunwei, 2003. "A hierarchical AHP/DEA methodology for the facilities layout design problem," European Journal of Operational Research, Elsevier, vol. 147(1), pages 128-136, May.
    6. Tser-Yieth Chen, 2002. "Measuring firm performance with DEA and prior information in Taiwan's banks," Applied Economics Letters, Taylor & Francis Journals, vol. 9(3), pages 201-204.
    7. Shang, Jen & Sueyoshi, Toshiyuki, 1995. "A unified framework for the selection of a Flexible Manufacturing System," European Journal of Operational Research, Elsevier, vol. 85(2), pages 297-315, September.
    8. Korpela, Jukka & Lehmusvaara, Antti & Nisonen, Jukka, 2007. "Warehouse operator selection by combining AHP and DEA methodologies," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 135-142, July.
    9. Jyoti & D.K. Banwet & S.G. Deshmukh, 2008. "Evaluating performance of national R&D organizations using integrated DEA‐AHP technique," International Journal of Productivity and Performance Management, Emerald Group Publishing Limited, vol. 57(5), pages 370-388, June.
    10. Lin, Ming-Ian & Lee, Yuan-Duen & Ho, Tsai-Neng, 2011. "Applying integrated DEA/AHP to evaluate the economic performance of local governments in China," European Journal of Operational Research, Elsevier, vol. 209(2), pages 129-140, March.
    11. Liu, W.B. & Zhang, D.Q. & Meng, W. & Li, X.X. & Xu, F., 2011. "A study of DEA models without explicit inputs," Omega, Elsevier, vol. 39(5), pages 472-480, October.
    12. Kong, Wei-Hsin & Fu, Tsu-Tan, 2012. "Assessing the performance of business colleges in Taiwan using data envelopment analysis and student based value-added performance indicators," Omega, Elsevier, vol. 40(5), pages 541-549.
    13. Vaidya, Omkarprasad S. & Kumar, Sushil, 2006. "Analytic hierarchy process: An overview of applications," European Journal of Operational Research, Elsevier, vol. 169(1), pages 1-29, February.
    14. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    15. Podinovski, V. V., 2004. "Suitability and redundancy of non-homogeneous weight restrictions for measuring the relative efficiency in DEA," European Journal of Operational Research, Elsevier, vol. 154(2), pages 380-395, April.
    16. Takamura, Yoshiharu & Tone, Kaoru, 2003. "A comparative site evaluation study for relocating Japanese government agencies out of Tokyo," Socio-Economic Planning Sciences, Elsevier, vol. 37(2), pages 85-102, June.
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    2. D’Inverno, Giovanna & Carosi, Laura & Romano, Giulia & Guerrini, Andrea, 2018. "Water pollution in wastewater treatment plants: An efficiency analysis with undesirable output," European Journal of Operational Research, Elsevier, vol. 269(1), pages 24-34.
    3. Mehdi Toloo & Madjid Tavana & Francisco J. Santos-Arteaga, 2019. "An integrated data envelopment analysis and mixed integer non-linear programming model for linearizing the common set of weights," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 27(4), pages 887-904, December.

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