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Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis

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  • Seyed Rakhshan
  • Ali Kamyad
  • Sohrab Effati

Abstract

All the basic models in data envelopment analysis (DEA) divide decision making units (DMUs) in two groups: efficient DMUs and inefficient DMUs, and lack of discrimination of efficient units is a serious problem. Also in spite of completely ranking units in analytical hierarchy process (AHP), the process of making pairwise comparison matrix is based on experts’ choices and it causes error and inconsistency in resulted matrix. In this paper first a combined method is suggested for ranking the units and it will use benefits of both AHP and DEA methods to present a rational ranking, also will covers the problem of last methods noticeably and then properties and advantages of suggested method compare with another methods will be explained. Finally, for better comparison some numerical examples will be explained. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Seyed Rakhshan & Ali Kamyad & Sohrab Effati, 2015. "Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis," Annals of Operations Research, Springer, vol. 226(1), pages 505-525, March.
    • Handle: RePEc:spr:annopr:v:226:y:2015:i:1:p:505-525:10.1007/s10479-014-1728-x
    DOI: 10.1007/s10479-014-1728-x
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    References listed on IDEAS

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    Cited by:

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    3. Wenli Liu & Ying-Ming Wang & Shulong Lv, 2017. "An aggressive game cross-efficiency evaluation in data envelopment analysis," Annals of Operations Research, Springer, vol. 259(1), pages 241-258, December.
    4. Seyed Ali Rakhshan, 2017. "Efficiency ranking of decision making units in data envelopment analysis by using TOPSIS-DEA method," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 906-918, August.

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