This paper is concerned with the identification of the closest strong efficient target of a Decision Making Unit (DMU) in the Free Disposal Hull (FDH) technology in Data Envelopment Analysis (DEA). The paper uses the geometrical properties of the FDH Production Possibility Set (PPS) to design and test an enumeration algorithm to obtain the minimum distance from a DMU to the strong efficient frontier of the PPS, corresponding to each of the various returns to scale assumptions. The proposed method solves some simple optimization problems whose optimal solutions are obtained by calculating a limited number of ratios. Then, an attempt will be made to mitigate the problem of the lack of unit and translation invariance of the selected distances by considering weighted norms. Finally, the applicability of the presented method is illustrated by a numerical example using real data.

本文涉及在数据包络分析（DEA）中自由处置船体（FDH）技术中确定决策单元（DMU）的最接近有效目标的问题。本文使用FDH生产可能性集（PPS）的几何特性来设计和测试枚举算法，以获取从DMU到PPS的强有效边界的最小距离，该距离对应于各种规模收益假设。所提出的方法解决了一些简单的优化问题，其最佳解决方案是通过计算有限数量的比率获得的。然后，将尝试通过考虑加权范数来减轻所选距离缺乏单位和平移不变性的问题。最后，