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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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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.

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Authors and Affiliations

  1. School of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

    Seyed Ali Rakhshan, Ali Vahidian Kamyad & Sohrab Effati

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  1. Seyed Ali Rakhshan
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  2. Ali Vahidian Kamyad
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  3. Sohrab Effati
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Correspondence to Seyed Ali Rakhshan.

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Rakhshan, S.A., Kamyad, A.V. & Effati, S. Ranking decision-making units by using combination of analytical hierarchical process method and Tchebycheff model in data envelopment analysis. Ann Oper Res 226, 505–525 (2015). https://doi.org/10.1007/s10479-014-1728-x

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  • DOI: https://doi.org/10.1007/s10479-014-1728-x

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