Efficiency assessment using a multidirectional DDF approach

Efficiency assessment using a multidirectional DDF approach
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DOI:
10.1111/itor.12617
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发表时间:
2018-11
期刊:
Int. Trans. Oper. Res.
影响因子:
--
通讯作者:
S. Lozano;Narges Soltani
S. Lozano;Narges Soltani
中科院分区:
其他
文献类型:
--
作者:
S. Lozano;Narges Soltani

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本文提出了一种新的效率度量,其目的是捕获到有效边界的总距离,而不是像大多数定向和非定向方法那样计算对应于特定投影的距离。所提出的方法使用基于网格的方法从给定的工作点采样所有可能的改进方向,并为每个方向计算方向效率得分,求解方向距离函数模型。这提供了有关到有效边界的距离分布的信息。因此,所提出的多向效率度量并没有提供单一的效率得分,而是提供了效率得分的分布。最小值,中位数,Q1和Q3四分位数以及最大值可以单独作为该分布的代表。后者对应于计算出的效率目标中最接近的目标。除了效率得分分布外,还提供了相关的效率目标。该方法可以考虑整数变量和非任意变量以及偏好结构。介绍了该方法在评价材料回收设施效率中的应用。
This paper proposes a new efficiency measure that aims at capturing the overall distance to the efficient frontier and not the distance corresponding to a specific projection, as most oriented and non‐oriented methods compute. The proposed approach uses a grid‐based method to sample all possible improvement directions from a given operating point and for each direction it computes a directional efficiency score solving a directional distance function model. This provides information about the distribution of the distance to the efficient frontier. Therefore, the proposed multidirectional efficiency measure does not provide a single efficiency score but a distribution of efficiency scores. The minimum, the median, the Q1 and Q3 quartiles and the maximum can be singled out as representatives of that distribution. The latter corresponds to the closest among the computed efficient targets. In addition to the efficiency score distribution, the associated efficient targets are also provided. The proposed approach can take into account integer and nondiscretionary variables and a preference structure. An application of the method to assess the efficiency of material recovery facilities is presented.