非参数性能评估的神经网络方法

Gregory Koronakos, Dionisios N. Sotiropoulos
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摘要

数据包络分析(DEA)是评价同质单位效率最常用的非参数方法。在本文中,我们开发了一种新的方法,将DEA与人工神经网络(ann)相结合,以加速评估过程并减少计算负担。我们使用人工神经网络来估计里程碑DEA模型的效率分数。我们的方法考虑了DEA的相对性质,确保用于训练人工神经网络的dmu首先根据有效集进行评估。我们方法中使用的人工神经网络准确地估计了DEA效率得分。我们通过进行一系列基于不同数据生成过程和输入输出数量的实验来验证我们的方法。这些估计的效率分数满足基本DEA模型的性质。因此,我们的方法可以用于传统DEA方法不切实际的大规模评估。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Neural Network approach for Non-parametric Performance Assessment
Data Envelopment Analysis (DEA) is the most popular non-parametric method for the efficiency assessment of homogeneous units. In this paper, we develop a novel approach, which integrates DEA with Artificial Neural Networks (ANNs) to accelerate the evaluation process and reduce the computational burden. We employ ANNs to estimate the efficiency scores of the milestone DEA models. The relative nature of DEA is considered in our approach by assuring that the DMUs used for training the ANNs are first evaluated against the efficient set. The ANNs employed in our approach estimate accurately the DEA efficiency scores. We validate our approach by conducting a series of experiments based on different data generation processes and number of inputs and outputs. Also, these estimated efficiency scores satisfy the properties of the fundamental DEA models. Thus, our approach can be employed for large scale assessments where the traditional DEA methods are rendered impractical.
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