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Information Journal Paper

Title

Ranking all units with non-radial models in DEA

Pages

  111-129

Abstract

 Data envelopment analysis (DEA) helps the managers to separate and classify the e cient and ine cient units in a homogenous group. DEA is a set of methods inferred from mathematics and other sciences in which the branch of unit ranking can be signi cantly e ective in improving managerial decisions. Although this branch in DEA is considered still young, it has proved its ability in solving some problems like production planning, resource allocation, inventory control, etc. The managers who care about their results quality cannot be indi erent to units ranking. In this article, to rank the units which are under-evaluated, rstly the decision-making unit (DMU) is removed from the production possibility set (PPS), and then the new PPS is produced. The unit under evaluation is inside or outside of the new PPS. Therefore, to benchmark the under-evaluation DMU to new frontiers, two models are solved. If the removed unit is outside of the new PPS, the rst model is feasible, and the second model is infeasible. If the removed unit is inside or on the frontier of the new PPS, both models are feasible. The method presented in this article for ranking the under-evaluation units has these characteristics: 1-this model can distinguish extreme and non-extreme e cient units and ine cient units. 2-Also, the presented models for ranking DMUs can be changed into a linear model. 3-This method shows stability in changing small or near-zero data. 4-It does not assign a false ranking. The presented methods in this article are able to distinguish the set of extreme and non-extreme e cient and ine cient units as well as being able to overcome the common problems in ranking. In this article, suggested models are introduced in 3. 1 which are able to rank all under evaluation units except non-extreme e cient units, this problem is solved in 3. 2, in other words in 3. 2 all DMUs are ranked.

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    • Cite

    APA: Copy

    JABBARI, A., Hosseinzadehlot, F., Jahanshahloo, GH., & ROSTAMY MALKHALIFEH, M.. (2019). Ranking all units with non-radial models in DEA. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 10(2), 111-129. SID. https://sid.ir/paper/340937/en

    Vancouver: Copy

    JABBARI A., Hosseinzadehlot F., Jahanshahloo GH., ROSTAMY MALKHALIFEH M.. Ranking all units with non-radial models in DEA. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS[Internet]. 2019;10(2):111-129. Available from: https://sid.ir/paper/340937/en

    IEEE: Copy

    A. JABBARI, F. Hosseinzadehlot, GH. Jahanshahloo, and M. ROSTAMY MALKHALIFEH, “Ranking all units with non-radial models in DEA,” INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol. 10, no. 2, pp. 111–129, 2019, [Online]. Available: https://sid.ir/paper/340937/en

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