具有固定输出和的数据包分析模型

Josef Jablonský
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引用次数: 0

摘要

传统的数据包络分析(DEA)模型不考虑输出值和之间的任何关系。在许多实际应用中,输出的总和是预先确定的,不能改变。本文建立了考虑定和输出的主要模型,并讨论了它们的性质。他们通常分两步进行。第一步是推导新的有效边界,通常称为均衡有效边界。这个边界是这样计算的,即所有单位的固定和输出值被修改以达到所有单位的最大效率。第二步,推导原单元相对于新边界的效率得分。这个特性允许对单位进行完整的排名。以2022年冬奥会参赛国的效率评价为例,对模型的结果进行了说明。并与传统的DEA模型进行了比较。
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Modely analýzy obalu dat s fixním součtem výstupů
raditional data envelopment analysis (DEA) models do not consider any relations with respect to the sum of values of outputs. In many real applications, the sum of outputs is predetermined and cannot be changed. In this paper, main models considering fixed-sum outputs are formulated and discussed their properties. They usually proceed in two steps. The first step consists in deriving a new efficient frontier, usually called equilibrium efficient frontier. This frontier is computed in such a way that the values offixed-sum outputs for all units are modified to reach maximum efficiency of all units. In the second step, the efficiency score of the original units is derived with respect to the new frontier. This characteristic allows complete ranking of the units. The results of the model are illustrated on the evaluation of efficiency ofcountries attending Winter Olympic Games 2022. They are compared with traditional DEA models.
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