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Optimizing the rank position of the DMU as secondary goal in DEA cross-evaluation

机译:优化DMU的排名位置作为DEA交叉评估中的次要目标

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Cross-efficiency evaluation is an extension of Data Envelopment Analysis (DEA) that permits not only the determination of a ranking of Decision Making Units (DMUs) but also the elimination of unrealistic weighting schemes, thereby rescinding the necessity for the inclusion of individual judgements in the models. The main deficiency of the procedure is the non-uniqueness of the optimal weights, which results in the peer evaluations dependences, for instance, on the software used to determine DMU's efficiencies. This shortfall justifies the inclusion of secondary goals in order to determine cross-efficiency values. In this paper a new proposal of a secondary goal is studied. The idea is related with that proposed in Wu et al. (2009), in which the objective is the optimization of the rank position of the DMU under evaluation. In the procedure proposed here, an incentive to break levelpegging ties between alternatives is introduced by considering that efficiency scores induce a weak order of alternatives. The model is illustrated with a preference-aggregation application.
机译:交叉效率评估是数据包络分析(DEA)的扩展,它不仅可以确定决策单位(DMU)的排名,而且还可以消除不切实际的加权方案,从而消除了将个别判断包括在内的必要性。模型。该程序的主要缺陷是最优权重的不唯一性,这导致对等评估的依赖性,例如,取决于用于确定DMU效率的软件。这种不足证明有必要确定次要目标,以便确定交叉效率值。本文研究了次要目标的新建议。这个想法与Wu等人提出的想法有关。 (2009年),其目标是优化被评估的DMU的排名。在此处提出的过程中,考虑到效率得分会导致替代方案的顺序较弱,因此引入了打破替代方案之间的水平挂钩关系的激励措施。该模型通过偏好汇总应用程序进行了说明。

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