Three-Dimensional Visualization for Multidimensional Analysis and Performance Management of Socio-Economic Systems

A. Afanasiev, V. Krivonozhko, A. Lychev, O. Sukhoroslov
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Abstract

Data Envelopment Analysis (DEA) models and Free Disposal Hull (FDH) models were proposed almost simultaneously in the scientific literature. In DEA models, the constraints generate a convex set. For this reason, optimization methods and software are widely used for modeling and computations for these models. Non-convexity of production possibility set of FDH models refrained significantly the development of these models. In this paper, two methods are proposed for two-and three-dimensional frontier visualization for DEA and FDH models. Computational experiments using real-life datasets documented reliability and effectiveness of proposed methods.
社会经济系统多维分析与绩效管理的三维可视化
在科学文献中,数据包络分析(DEA)模型和自由处置船体(FDH)模型几乎是同时提出的。在DEA模型中,约束生成一个凸集。因此,优化方法和软件被广泛用于这些模型的建模和计算。外佣模型的生产可能性集的非凸性极大地制约了模型的发展。本文提出了两种DEA和FDH模型的二维和三维边界可视化方法。使用真实数据集的计算实验证明了所提出方法的可靠性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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