Cross-efficiency measurement is an extension of Data Envelopment Analysis that allows for tie-breaking ranking of the Decision Making Units (DMUs) using all the peer evaluations. In this article we examine the theory of cross-efficiency measurement by comparing a selection of methods popular in the literature. These methods are applied to performance measurement of European warehouses. We develop a cross-efficiency method based on a rank-order DEA model to accommodate the ordinal nature of some key variables characterizing warehouse performance. This is one of the first comparisons of methods on a real-life dataset and the first time that a model allowing for qualitative variables is included in such a comparison. Our results show that the choice of model matters, as one obtains statistically different rankings from each one of them. This holds in particular for the multiplicative and game-theoretic methods whose results diverge from the classic method. From a managerial perspective, focused on the applicability of the methods, we evaluate them through a multidimensional metric which considers their capability to rank DMUs, their ease of implementation, and their robustness to sensitivity analyses. We conclude that standard weight-restriction methods, as initiated by Sexton et al. [48], perform as well as recently introduced, more sophisticated alternatives.

交叉效率测量是数据包络分析的扩展，它允许使用所有对等评估来对决策单位（DMU）进行平局决胜排名。在本文中，我们通过比较文献中流行的方法来检验交叉效率测量的理论。这些方法适用于欧洲仓库的绩效评估。我们开发了一种基于等级DEA模型的交叉效率方法，以适应表征仓库绩效的一些关键变量的序数性质。这是在真实数据集上进行的方法的第一次比较，也是第一次在这种比较中包含允许定性变量的模型。我们的结果表明，模型的选择很重要，因为从每个模型中获得统计上不同的排名。这尤其适用于乘法和博弈论方法，其结果与经典方法不同。从管理的角度出发，我们着眼于方法的适用性，我们通过一个多维度量标准对其进行评估，其中考虑了它们对DMU进行排名的能力，其实现的简易性以及对敏感性分析的鲁棒性。我们得出结论，由Sexton等人发起的标准体重限制方法。[48]，以及最近推出的更复杂的替代方案。以及它们对灵敏度分析的鲁棒性。我们得出结论，由Sexton等人发起的标准体重限制方法。[48]，以及最近推出的更复杂的替代方案。以及它们对灵敏度分析的鲁棒性。我们得出结论，由Sexton等人发起的标准体重限制方法。[48]，以及最近推出的更复杂的替代方案。